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Calculus
July 2023
Calculus questions and answers in July 2023
Thank you in advacne . Pearson MyLa X Course Home X P Do Homework X Course Home X Pearson Sign | x (432) Arithme X C Express the re x * Course Hero X C mylab.pearson.com/Student/PlayerHomework.a...
Let E ⊆ R³ be the region described by the bounds of the following integral. Determine the integration bounds of the following integrals. . .2-y 3+y f(x, y, z) dz dx dy =. f(x, y, z) dz dy dx f(x,...
Please answer quickly and circle the answer. 9. [1/2 Points] DETAILS PREVIOUS ANSWERS SCALC9 16.5.502.XP. Consider the given vector field. 3 F(x, y, Z) = V x 2 + y2 + 72 ( x ityj+zk) (a) Find the curl...
. The figure below shows the size of some country's population (measured in millions) over the period 1900 to 2000. The heavy curve denotes the size of the population and the thin line is a line tha...
. A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 230. (a) Find an expression for the number of bacteria a...
. Find the work done by the conservative force field F = (y2 cos(x ) + 23) i + (2y sin(x) - 3) j + (3xz2 + 6)k in moving an object along the curve x = sin (t) , y = 1 - 2t , z = 3t - 1 for (0 < t...
. -/4 Points] DETAILS MY NOTES Carolyn wants to retire in 20 years time, and so decides to start a new retirement savings account. She wants to accumulate 1000000 dollars by the time she retires. In...
Please solve and circle the answer. Those were 3 attempts that were marked wrong. Submission 1 (0/1 points) Monday, July 31, 2023 05:33 PM EDT Find a parametric representation for the surface. the par...
. Use the Divergence theorem to calculate I = SS F(x, y, z)dS, with F - 24i - x322j + 4xy2zk where S is the closed surface of the cylinder a2 + y2 = 25 bound by the planes z = a + 7 and z = 0. To on...
. Find the work done by the conservative force field F = (y2 cos(x ) + 23) i + (2y sin(x) - 3) j + (3xz2 + 6)k in moving an object along the curve x = sin (t) , y = 1 - 2t , z = 3t - 1 for (0 < t...
. Evaluate the the integral S S(x2 + y2 + z2) dS where S is the portion of the plane z = a + 3 that lies inside the cylinder a2 + y2 = 1. To 1 decimal places the volume is given by . ( Answer in the...
. 1 /4 - 100% + 1-3. Given the equation of a parabola: x2 = 4y + 8 1. Find the vertex a. (0, 0) b. (0, -1) c. (0, -2) d. (0, -4) e. none of these 2. Find the focus a. (0, 0) b. (0, -1) c. (0, -2) d....
Explain everything and if the student is wrong why and how to correctly solve it THANK YOU. Mod 2 DBA Tic-Tac-Toe A PreCalculus student has been asked to verify if f(x) and g(x) are inverses. Do you a...
solve pre calculus. Which of the following is a parameterization of the line that passes through the point (-1, -6) with a slope of 4? Of=+ aand y = 4 + 1, for any O x - tant and y = 4tant + 2, fort&l...
I need help with this answer please. Determine whether the sequence converges or diverges. If it converges, find the limit. 2- 5n + 6n4 an 5n* + 9n" -9 O A. The sequence converges to UI | O O B. ...
For the function f(x)=ax^3 +bx^2-5x +9, determine the values of a and b so that f(-1)=12 and f'(-1)=3 Determine the equations of two lines that pass through the point (-4,-5) and are tangent to the gr...
answer the question using the following method: . The demand and supply functions for Penn State ice hockey jerseys are: p = d(x) = -5x2 - 17x + 335 p = s(x) = x2 + x+ 11 where x is the number of hu...
answer this question using the following method: . Determine the area of the region bounded by y = xv x2 + 25 and y = 0 on the interval [-1,2]. e 32 p4 Area = - In (2) 4 X. Begin by graphing bo...
Please answer with correct work quickly. 4. [15pts] Evaluate F . dr for F =< e ty,ey+x >, where C C consists of the arc of the curve y = cosx from (-7/2, 0) to (7/2, 0) and the line segment from...
Find the value of c guaranteed by the Mean Value Theorem (MVT) for f(x) = V 49 - x2 over the interval [0, 7]. 1 In other words, find c E [0, 7] such that f(c) =- 7 -0 Jo f(x) dx. Round your answer to ...
This is a numerical response assignment so the answer must be 4 digits long. Thanks.. Diagram A Diagram B Diagram C Diagram D Use the codes below to state which integral would determine the area under...
#3. Suppose the daily supply equation for noise cancelling wireless headphones is given by p = S(x) = 90 + 30e0.05x where p is in dollars and x is the number of headphones produced daily. Determine th...
#2. If the demand function for math anxiety pills is p = D(x) = -3x + 36 and the corresponding supply function is p = S(x) = 5x + 4, determine the consumer and the producer surplus at the market equil...
Please explain step by step how it was solved, thanks! . The population of a city is modeled by the equation P (t) = 226,755e.2ot where t is measured in years. If the city continues to grow at this r...
1.2 . The graph to the right is the result of applying a sequence of transformations to the graph of one of the six basic functions. Identify Ay + the basic function and describe the transformation ...
PLEASE EXPLAIN THE STEPS ON HOW TO SOLVE.. Specify the domain of the function f (x) = v2x + 14. The domain of f () is x Click for List Number = Show your work and exp words, how you arrived at your an...
Show steps and explation. k1 k2 m 1 m2 X1 1 x2 1 (a) F, (t) F,(t) k x1 k2(x2 - x1) m 1 m2 k2(x2 - x1 ) R3x2 (b) Figure 1: The free body diagram of each mass is shown in the above figure. Assume the di...
. (2 points) Find the work done by the vector field ( 2x + yx, x + 3 ) on a particle moving along the boundary of the rectangle 0 < x < 3,0 < y < 6 in the counterclockwise direction. (Th...
. The number of hours of daylight in City A is given by the following equation, where x is the number of days after January 1. y = 7.2081 sin (0.0166x - 1.2723) + 11.4447 a) Approximate the number o...
This is the response I received back, can you help me revise? . determine whether the improper integral is convergent or divergent. Do not evaluate the integral. 1 + cos(x) 29. dx 7 "when ...
22. Represent the volume as an integral and evaluate the integral This is how I answered the question, but I guess it's wrong: this is the response I got back: Can you help me? . + ...
. "You reach the communication device and are alerted by your computer that the communication device is surrounded by a force field that can be described by the equation, +2 + 2 - (1 22 + 1 ,2 ...
. The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope that the communication device is past this last wall. You notice that there are tiles on this gate...
. Use the given function to complete parts (a) through (e) below. f (x) = x4 - 16x2 a) Use the Leading Coefficient Test to determine the graph's end behavior. O A. The graph of ...
Help please . 5. Suppose that we want a cylindrical barrel to hold 8 cubic feet of volume. Let the barrel have radius r and height h, each measured in feet. How can we write the surface area, A, of ...
Help please . 4. A rectangular box is being constructed so that its base is twice as long as it is wide. In addition, the base and top of the box cost $2 per square foot while the sides cost $1.50 p...
Please show and explain all steps used to get to the answer . Use a Comparison Test to determine if the series V n = 0 5n2 - 2 converges or diverges 8 ) Converge or diverge : ( - 1 )? n n = 0 2 Dive...
In 2000 the population of the United States was 280 million and the number of vehicles was 200 million. If the population of the United States was growing at 1% per year, while the number of vehicle...
Please show and explain all steps used to get to the answer . 3) List the first four terms of the sequence an = ( - 1) ? n - 1 ( nz2 ) n2 + 1 4) Compute the limit, as n , of the sequence with oth te...
. Problem 3. (10 points) Curve in the space. Consider the curve r(t) = 5 costi +5 sin tj + 2tk. i) Find the velocity v and the acceleration a of the curve r. ii) Find the unit tangent vector to the ...
. Connecting the Communication Device With the communication device pointed toward your home planet, you realize, to your dismay, that the cords have been disconnected from the device. "Compute...
. (7) Consider the following parametric equations: = 412 + 4t - 3 y = 2t (i.) Sketch the entire curve represented by the parametric equations. Be sure to indicate the orientation. (ii.) Find dy. The...
. Question 1. Consider the function f(x) = xcos(x) in the interval [0, 27]. Within the interval (0, 27), the critical points of f(x) are at x = 0.86 and x = 3.426. Also, the critical points of f'(x)...
Hello, Can someone please assist with the following: . 1. [-/1 Points] DETAILS BERRAPCALC7 5.5.001.MI. Consider the demand function d(x) and demand level x. d(x) = 6000 - 16x, x = 100 Find...
1). a poin p(r,teta) in polar coordinates is given. Determine the rectangular coordinates p(x,y). p(-2,7pi/4). 2). identify the type of graph of the polar equatio below r carre=9 sin 2teta. 3). find...
. Solving Logarithmic Equations Solve the Logarithmic Equation 5 log2 (a + 6) = 15 by following the steps below. Note: You must give each answer written as an equation. 5 log2 (x + 6) = 15 Original ...
. Evaluating Functions with Common Logs Locate the LOG button on your calculator. Use it to fill in the missing values in the table. When you use your calculator, remember to close parentheses after...
Approximately Pt= 6/(1+5e-0.7t) thousand people caught a new form of influenza within t weeks of its outbreak. How many people had the disease initially? How many people contracted the disease w...
An experimental drug was injected into the bloodstream of a rat. The concentration Ct of the drug (in micrograms per milliliter of blood) after t hours was modeled by the function: C(t)=0.3e^-0.4...
Using the spherical coordinates, calculate the center of inertia of the solid S located inside tersection of surfaces of equations where the mass density at the point (x, y, z) is equal to 12 times it...
Let E ⊆ R³ be the region described by the bounds of the following integral. Determine the integration bounds of the following integrals. . 2-y 3+y f(x, y, z) dz dx dy =. f(x, y, z) dz dy dx f(x, ...
. Question 1. Consider the function f(x) = x cos(x) in the interval [0, 27]. Within the interval (0, 27), the critical points of f(x) are at x = 0.86 and x = 3.426. Also, the critical points of f...
. webassign.net 1. [-/2 Points] DETAILS SCALCET9 6.2.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the reg...
. 13 275 A = 11.3 220 9.2 170 If the increase in both weight and length over the next 2 weeks is 40% for group I, 9% for group II, and 0% for group III, then the increases in the measures during the...
. 13 275 A = 11.3 220 9.2 170 If the increase in both weight and length over the next 2 weeks is 40% for group I, 9% for group II, and 0% for group III, then the increases in the measures during the...
. Ace, Baker, and Champ are being purchased by ALCO, Inc., and their outstanding debts must be paid by the purchaser. The following matrix gives the amounts of debt and the terms for the companies b...
Please assist thanks in advance. . Pearson MyLab ar X Course Home X Do Homework - A X login.pearsoncmg x Do Homework - A x 3 login.pearsoncmg x P Do Homework - A X + C mylab.pearson.com/Student/Playe...
. Find the center, transverse axis, vertices, foci, and asymptotes. Graph the following equation. ( x - 5)2 (y + 6)2 = 1 25 36 . . . The center is at]. (Type an ordered pair. Type exact answers, usi...
. Find the center, foci, and vertices of the ellipse. Graph the equation. 25x2 + 36y2- 50x + 360y + 25 = 0 . . . Type the coordinates of the center of the ellipse in the boxes below. (h, k) = (0) Ty...
. The reflector of a searchlight is in the shape of a paraboloid of revolution. Its diameter is 24 centimeters and its depth is 18 centimeters. How far from the vertex should the light bulb be place...
. Find the vertex, focus, and directrix of the following 20 Ty parabola. Graph the equation. x2 + 8x = 4y-8 16- . . . The vertex is (Type an ordered pair.) 12 -8 16 The focus is (Type an ordered pai...
. Question 1. Consider the function f(x) = x cos(x) in the interval [0, 27]. Within the interval (0, 27), the critical points of f(x) are at x = 0.86 and x = 3.426. Also, the critical points of f...
. Consider the following integral. 7 6 - 8 - dx 1. Given the substitution u = x6 - 8, find du. du = dx Rewrite the given integral in terms of u. Evaluate the integral by making the given substitutio...
. ULIMILD MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find f. F' ( t ) = - 12 1+ + 2 ' f(1 ) = 0 "(t ) = 12 Need Help? Read It Watch It Viewing Saved Work Revert to Last Response Submit Answer 1...
. Let S be the portion of the cylinder y = e" in the first octant that projects parallel to the x-axis onto the rectangle Ryz: 1 Sys3, 0 Szs 1 in the yz-plane N (see the accompanying figure). L...
. Although it is not defined on all of space R" , the field associated with the line integral below is simply connected, and the component test can be used to show it is conservative. Find a po...
. Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The portion of the cylinder x + y = 4 between the planes z = 2 and z = 8 . . . Let u = z ...
. u Let R be the region in the first quadrant of the xy-plane bounded by the hyperbolas xy = 1, xy = 9, and the lines y = x, y = 16x. Use the transformation x = -, y = uv with u > 0 and v > 0 ...
. Question 7 0/1 pt 9 3 19 0 Details A Pop-Warner football punter kicks the ball at about the 3 yard line. h(x) = -x2+ 12x - 27 models the flight of the ball, where h(x) is the height of the ball...
. Question 5 0/1 pt 9 3 19 0 Details On Utapau, while riding a boga, General Kenobi dropped his lightsaber 370 feet down onto the platform where Commander Cody was standing. h(s) = -18s + 20s + 370,...
. The Sixth Gate After walking through the fifth gate, your computer informs you that more than half of the gates have been crossed. "Only 4 left", you conclude. "Computer, what is th...
. Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = 2x and the planes z = 0, z = 6 and y = 4.. Evaluate the triple integral z dV where E is the solid E boun...
. Question 12 6 pts Set up the double integral of f(x, y) over R, where R is the region bounded by the curves y = > and y = 4 - x. y=3/x X y=4-x . fil , " fled ) dy da of fay ) dady of l s(,...
. Question 13 6 pts Find the mass of of a two-dimensional plate that occupies the quarter circle x2 + y < 1 in the first quadrant and has density function p(x, y) = = (22 + 32). (Hint: Use a doub...
. Question 18 6 pts A company does some research and finds that the demand for their product is given by the function f(p) = 50 - p2 4 where p is the price in dollars. Find the elasticity of the dem...
. Question 10 6 pts A brine tank contains 8 L of water in which 5g of salt is dissolved. A solution containing 2 g/L of the salt flows into the tank at a rate of 4 L/hr, and the well-stirred mixture...
. Please make decision if function is Answer: polynomial or not: f(x) = 3x4 -6x-2-5 Please find out leading coefficient and degree Answer: g(X) = 10 - 4x+ 3.72x5- 2x13 Please find out leading coeffi...
. The Fourth Gate You arrive at the fourth gate, feeling confident in your skills. "It is a good thing I had some practice before landing on this planet", you think. You look carefully at ...
. Which of the following are the solutions of tan x + sec x = 1 on the interval [0, 2n)? 2x 4x O 3. 3 2x 4x 3'3 , O 3. 3 1 0 * 3. Which of the following are the solutions of cos + x + sin 3 + x =...
Please help. (a) Find the series' radius and interval of convergence. Find the values of x for which the series converges (b) absolutely and (c) conditionally. 00 n =0 vn +4 (a) The radius of converge...
2. Sketch a diagram of any angle in standard position terminating in quadrant II, that has the point P(-x,y) on its terminal arm. What are the coordinates (in terms of x and y) of a point Q on the ter...
The normal monthly temperatures (°F) for Omaha, Nebraska, are recorded below. a. Write a sinusoidal function that models Omaha's monthly temperature variation. b. Use the model to estimate the normal...
Write the formula for Newton's method and use the given initial approximation to compute the approximations x, and X2 f ( x) = x - 2x - 3, x0 = 2 Write the formula for Newton's method for the given fu...
Consider the function f(x,y,z) = sqrt(x^2+y^2+z^2) expresses the triple integral as an iterated integral in spherical coordinates for the given function and the region E, bounded by the spheres x^2+y^...
Use reference angles to find the exact value of the following expression sec W / H Select the correct choice below and, if necessary, fill in the answer box t A. sec (Simplify your answer. Type an exa...
Please answer the following in full: . Find the derivative for each of the following functions. 1. Determine the derivative of the following functions. a) y = x2 + sin x b) p(x) = 3ex - 1/2 cos x + ...
Use the (x,y) coordinates in the figure to find the value of tan 21 undefined. Select the correct choice below and, if necessary, fill in the ans O A. tan 2n = (Simplify your answer, including any rad...
Please answer the following in full: . 1. Use the limits definition lim f( xth) - f(x) to find an expression for the derivative to the functions; a. f(X) = 3x b. f ( x) = 3/ x c. f (X) = 3x2. 2. a. ...
Please only answer 1,3, and 4: . 1. Determine how the following lines interact. a. (x, y, z) = (-2, 1, 3) + t( 1, - 1, 5) ; (x, y, z) = (-3, 0, 2) + s(-1, 2, -3) b. (x, y, z) = (1, 2, 0) + t(1, 1, -...
please answer the following questions in full: . 1. Determine vector and parametric equations for the line through the point A(2, 5) with direction vector m = (1, -3).. 3. Determine parametric eq...
Please answer all 3 Time remaining 57 minutes Please help thanks. If the point (, ) lies on the graph of y # f(x), then the graph of y = includes the point Select one: OA. (.?) O B. (2, 2 ) Oc. (.) OD...
. Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the tree and measure the angle of elevation to the top of the tree to be 51, how far from the base o...
. Use a calculator, spreadsheet, or another tool to solve for the unknown sides of the given right triangle. The length of the hypotenuse is 10. a is the length of the side opposite the 10 angle and...
PLEASE DO NOT USE A CALCULATOR AND PLEASE SHOW ALL WORK. NO CALCULATOR PLEASE. SHOW ALL WORK. D Question 3 20 pts Sketch the region enclosed by the given curves and find its area y = -Vx -2, y+ x = 2 ...
. Consider the following function. f (20 ) = 5x2 + 2x+6 2<1 lax + 4 x> 1 Determine a value of a such that the function is differentiable everywhere. Give an exact answer. Otherwise, enter DNE ...
. Question 16. [10 points] Consider the following system of linear differential equations: = dt -6:x - 2y dy dt = 22x + 9y (a) Find the eigenvalues and eigenvectors associated with the system. (b) D...
. Consider the function on the given interval defined below. f (a) = 2x - 4 cos(a), [-7, 7] Find the local and absolute maxima and minima points. If there are multiple points in a single category, l...
what would be the value of S4?. IVIAA MATHEMATICAL ASSOCIATION OF AMERICA 02352 / WW5 / 9 Previous Problem Problem List Next Problem WW5: Problem 9 (1 point) Consider the integral I - / (x3 + 3x + 2x ...
How do you solve them??. Let f(x) be the function defined below. f(x) = 8x2 In(x), x >0 For each of the following, enter DNE if no such answer exists. Enter multiple values in a comma-separated ...
How do you solve these problems??. Plutonium-238 is a radioactive element that decays over time into a less harmful element at a rate of 0.8% per year. A power plant has 50 pounds of plutonium-238 to ...
. QUESTION 12. [7 pts] The number of insects near a lake is decribed by the DTDS: t+1 = 7 at (1 - xt) - hat for t = 0, 1, 2, ..., where h is the harvesting effort and t is measured in days. We need ...
. QUESTION 13. [7pts] Consider f(x) = 3 - 2ez-1. Answer and show the work for the below questions, and use them to graph f. a) Find the domain of f. b) Find the assymptotes (vertical and horizontal)...
Evaluate the following integral using trigonometric substitution. 8 dx 0 164-X2 O A. x = 8 sec 0 O B. x = 8 sin 0 O C. x = 8 tan 0 Rewrite the given integral using this substitution. 8 12 dx Op 164-X2...
Determine the radius and interval of convergence of the following power series. 2k K = 1 . .. The radius of convergence is R = Find the interval of convergence. Select the correct choice below and fil...
. 30) The function for a current is I(t) = 9 cos(120nt) where / is the current, in amperes, and t is the time in seconds. a) Find the current when t = 6 5. b) The electromotive force, E(t), in a cir...
. 6 The function f(x) = is represented as a power series 1 - 10x f(x) = > CnIn 1=0 Find the specified coefficients in the power series. CO= C1= CA Find the radius of convergence R for the series....
. The function f(x) = 3x In(1 + x) is represented as a power series CnI" . 72=0 Find the specified coefficients in the power series. CO = C3= CA = Find the radius of convergence R of the series...
Hi! can you help me with these? . 1 4.5 points Eliminate the parameter to find the rectangular equation for the following: x = 0.25t y = t2 O y = 16x2 y=-16x2 O y= 4x2 O y= 16x 2 4.5 points Which is...
. Find T's (x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x) = Using the Taylor Remainder Theorem, find all values of a for which this approximation is within 0.003804...
. ITEMS INFO 2 Practice similar Find two numbers differing by 48 whose product is as small as possible. Enter your two numbers as a comma separated list, e.g. 2, 3. The two numbers are. ITEMS INFO 6...
Q1 Q2 Q3 Q4 Need help with these questions on Lagrange Multipliers, thank you!. A rectangular building with a square front is to be constructed of materials that costs 11 dollars per ft" for the ...
Find the area of the shaded region. f(x)=5x+4x2−x3, g(x)=0 -66-2626xy f g2 A coordinate system has a horizontal x-axis labeled from negative 6 to 6 in increments of 1 and a v...
A clothing company determines that its marginal cost, in dollars per dress, is given by the function below. Find the total cost of producing the first 180 dresses, disregarding any fixed cost...
In a psychology experiment, the time t, in seconds, that it takes a rat to learn its way through a maze is an exponentially distributed random variable with the probability density function ?...
Find the accumulated future value of the continuous income stream at rate R(t), for the given time T, and interest rate k, compounded continuously. R(t)=$400,000, T=23 years, k...
D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find t...
. Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (4x - 3y)i + (y - 3x)j and curve C: the square bounded by x = 0, x = 3, y = 0, y = 3. The flux is (S...
hello, please please answer all the questions above in CLEAR format, so that I can also explain!!! please write out the step by step process as well as the answer. Word File Edit View Insert Format To...
hello, please please answer all the questions above in CLEAR format, so that I can also explain!!! please write out the step by step process as well as the answer. Word File Edit View Insert Format To...
Please show your detailed work for both problems.. Explain why the integrals ff (x) dx and J f (x) dx are improper. Determine whether the improper integral converges or diverges. Evaluate the integral...
Sketch the graph of the function f (x), following the steps mentioned below for analyzing the graph characteristics: a. Write the domain D of the function f. b. Find x-intercepts and y-intercepts o...
EXERCISE 1 A: Adjust AP prices into EP prices where appropriate. Then determine to total EP cost, and the portion cost. (don't forget scroll down for 1- B below) Recipe: Minestrone ...
Section 10.9 Reading Assignment: Convergence of Taylor Series Answer Only Exercise 2 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three questions very carefully a...
Section 10.10 Reading Assignment: Applications of Taylor Series Answer Only Exercise 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three questions very carefully...
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Hi, I need help with these questions on Lagrange Multipliers please. Thank you!. A company's total profit from selling _ thousand units of Product A and y thousand units of Produc...
. 1-27. Examine each graph below. Based on the shape of the graph and the labels on the axes, write a sentence to describe the relationship that each graph represents. Homework Help a. b. W Height (...
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