A factory selling cell phones has a marginal cost function C'(x)=0.01x^2-3x+229 where x represents the number of cell phones, and a marginal revenue function given by R'(x)= 429-2x. Find the area between the graphs of these curves and x=0. What does this area represent?

A factory selling cell phones has a marginal cost function C'(x)=0.01x^2-3x+229 where x represents the number of cell phones, and a marginal revenue function given by R'(x)= 429-2x. Find the area between the graphs of these curves and x=0. What does this area represent?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.CR: Chapter 9 Review

Problem 54CR

See similar textbooks

Related questions

Q: Approximate the point of intersection of the graphs of f and g. (Round your answers to three decimal…

A: follow the procedure given below.

Q: Compute the length of the curve r(t) = (41² + 1, 81² - 5,1) over the interval 0 < t < 2. (Use…

A: To find the length of the parametric curve r(t)=4t2+1,8t2-5,t3 over the interval 0≤t≤2. Here, let…

Q: x2 1. Let f(x) = 3Vx² – 1 and g(x) = x4 81 (a) Determine the domain of f and g. (b) Compute gof and…

Q: lim e 0 t/ Select one True False

A: limx→0+e1xusing chain rulelet f(x) =1xg(u) =eulimx→0+ f(x) = limx→0+ 1x =∞

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

Q: * (Find the integral of e^2x c

Q: 1 2 dx dy = 2 Select one: O True O False

Q: 3. [For students with ID # ending in 4 or 5.] Through the point (4, 2, -5) and perpendicular to the…

A: Here, the given equation of the plane is 3x+y-6z=8 So, the coefficients of x,y and z will give us…

Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

A: Let x and y be the dimension of the farm. x be the side along the barn. y is the side where cost is…

Q: Write the first four elements of the sequence. n+1 3n- -1, 1, 콩, 글 1, 금, 글, 유 5. 2 0, 글, 글, 콩

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

Q: dx dy 2 Select one: True False

Q: Find the derivative of the function. f(u) = u7e−u

Q: Maximize and minimize f(x, y, z) 3x + y + 2z subject to 2x + 3y2 + 4z² 210 %3D

A: We have to use lagrange multipliers.

Q: Use mathematical induction to prove the given statement for all positive integers n. 20+10+0+..…

A: We have to prove given statement with mathematical induction.

Q: Question Suppose that the length I, width w, and area A = lw of a rectangle are differentiable…

A: l=7 , w= 9A = lw differentiate w.r.t tdAdt=l dwdt+ wdl dt

Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y – 2z subject…

A: Solve the following

Q: 2. Find the volume oF solid obt ained by revolving the region bounded by the about the x- axis the…

Q: Find the area of the region bounded by the given pair of curves. Area inside the circle r = 3 cos 0…

Q: The dimensions ofavectangubr region are varging with the bimeltyacCording W-zt+6cm/see where Listhe…

Q: Listen Use the Ratio Test to determine if the series converges or diverges. ne-Sn n=1 Converges…

Q: Given f () = 7z - 5 and f'(-3) = – 3 and f(- 3) = -1. Find f'(z) 95 5x- 2 - and find f(3) =

A: Given, f"(x)= 7x-5 f'(-3)=-3 f'(-3)= -1

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: Given query is to find the average height

Q: Finding a Limit Graphically In Exercises 5 and 6, use the graph to find the limit (if it exists). If…

A: f(t)=ln(t+2)t At some point t=a we say that limit exists if both right and left side limits exist…

Q: 21) Find tre fourth degree Taylor poly nomial Centned at C=4 for the function. m 7 (x)=In(x) Angues…

A: Pn(x) = f(c) +f'(c)x/1! +f"(c)x2/2! +.....+fn(c)xn/n! here we have to make upto 4 degree f'(x) = 1/x…

Q: Sz IF A-(-2 4) 2 3-( (-24リ Cュ Prove! CA *B) *C = AK( B+C)

A: We want to show the above equation is true.

Q: Problem X.6 Let f(z) = : Find the interval of convergence for f,f',f". %3D n2 n=1

A: Ratio test:limn→∞ an+1an <1f(x)=∑n=1∞ xnn2limn→∞ xn+1 n2(n+1)2 xn <1limn→∞ x 1+1n2…

Q: Let a=ci+ja=ci+j and b=9i+45jb=9i+45j. Find c so that a and b are orthogonal.

Q: Find the solution with the given initial condition. r"(1) = (e', sin (1), cos (t)), r(0) = (1,0, 1),…

A: First we integrate r"(t) twice and then imposing given initial conditions we get our required…

Q: Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D".…

Q: 3. Determine all the roots (real or complex) of the polynomial p(x) = 2x4+13x³+27x2+13x-15.

A: Since you have posted multiple questions. As per guidelines, we"ll solve only first question. If you…

Q: Free-Falling Object In Exercises 37 and 38, use the position function s(t) = -4.9f + 250, which…

Q: Graph the following vector addition: + Start from the origin. One vector to show One vector to…

Q: 7. * In [In (In æ)]

Q: Find the dimensions of a rectangle (in m) with area 216 m² whose perimeter is as small as possible.…

Q: Differentiate y = e^(10 (x) + x^5) the x in () is meant to be the square root of x the question…

Q: Determine if the following statement is true or false. The points P1(14, 8, 9), P2(7, 2, 0), P3(0, –…

A: Find your answer below

Q: The curve y: 3/2 is rotated about the y – axis. Calculate the surface area for 0<x<2

Q: Find the area between the curve f(x)=x^2+15 and the x-axis from x=3 to x=5.

A: Given query is to find the area under the curve.

Q: Find the tangent plane to the equation z = 7e. 4y at the point (8, 16, 7) = Z Question Help: D Video…

A: Given z=fx,y=7ex2-4y Point x0,y0,z0=8,16,7 To find the tangent plane:

Q: For vectors i : onto v. and w = calculate the scalar projection of w %3D comp;w (Give an answer…

A: scalar projection of w on v is =v.w|v||w|compvw¯=…

Q: Use logarithmic differentiation to find dy/dx. y = x6/x dy %3D dx II

Q: Use the first derivative test to find the location of all local extrema in the interval (1,7) for…

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 4/3 and whose components have…

A: use lagrange multipliers to find a vector in 3-space whose length is 43 and whose components have…

Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

Q: In Problems 25-32, find the indicated value. 25. f.(1,3) if f(x, y) = 5x'y- 4xy2

A: Given that : f(x,y) = 5x3y - 4xy2 and fx(1,3) To find : Value of f(x,y)

Q: ind the horizontal and vertical asymptotes of f(x). If there are no asymptotes of a given type,…

A: The given question can be solved as shown in step2.

Q: Find the demand function q = D(x), given the following elasticity conditions. E(x) = q= 235 when x=…

Q: Please

Q: r = 3 cos 0

A: The given curve, r=3 cosθ

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Explain the relationship between the slope and the derivative of fx at x=a.
The revenue function is R(x)= (x^2 - 9600)/(-32) Find the marginal revenue. The marginal revenue is...
The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x)=x(80x^2+60x), where x is the amount of cheese sold, in hundreds of pounds. The "profit" is -$20 when no cheese is sold. a. Find the profit function. b. Find the profit from selling 200 pounds of Brie cheese.
A manufacturer has determined that the revenue from the sale of x rocking chairs is given by the function R(x) = 87x + ln(x^4 + 14) dollars. Find the marginal revenue function.
The marginal profit from selling x chairs is P'(x)=-10x2 +100x+50 dollars per chair. There are no fixed costs to consider. What is the total profit realized from producing 10 chairs?
The marginal cost of manufacturing xx yards of a certain fabric is C′(x)=3−0.01x+0.000006x^2 (in dollars per yard). Find the increase in cost if the production level is raised from 1500 to 7000 yards.
if the birth rate of a population is b(t)=2200+52.3t+0.74t^2 people per year and the death rate is d(t)=1460+28.8t people per year, find the area between these curves for 0≤t≤10. what does this area represent?
Find the slope of f (x) = ln⁡(3x^2+8)/(-2) at (2,−1.50).
The marginal profit is given by MP= P'x = x(90x+2x^2). Find the total profit function.
The total profit (in dollars) from the sale of x answering machines is P(x) = 20x – 0.3x² – 240. %3D (A) Find the exact profit from the sale of the 26th machine. Exact Profit on 26th machine = (B) Use the marginal profit to approximate the profit from the sale of the 26th machine. Approx. profit on 26th machine =
The marginal cost of producing the xthxth PC is C′(x)=10+(x^2/60000) and the fixed cost is 20000. What is the cost of producing 600 PCs?
The marginal cost of manufacturing x yards of a certain fabric is C''(x) = 3 -0.01x + 0.000006x2 (in dollars per yard). Find the increase in cost if the production level is raised from 2500 to 8000 yards. Increase in cost = $ Thank you so much for your help.