Find the marginal revenue for selling x units. (The revenue is measured in dollars.) R= 7x + 12/x dR dollars per unit dx

Q: For the function y = 4x2: (a) Find the average rate of change of y with respect to x over the…

A:

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A:

Q: Total revenue is RCX)=J0,1x²+0.2x² What is rate of (R=, x=units) Change?

A:

Q: where x is the number of units sold. Find his marginal revenue and interpret it when the quantity…

A: Given: The monthly revenue of electronic game is given by R(x) = 130x -0.11x2,      0 ≤ x ≤ 800…

Q: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(5x + 3)−1 − 1000 where x is…

A:

Q: Find the rate of change of total revenue, cost, profit with respect to time. Assume that R(x) and…

A: Given that…

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A:

Q: A right-circular cylinder has a height which is three times its diameter. The diameter of the…

A: Given, A right circular cylinder, Diameter,2r=8cm Radius,r=82=4cm Height=3(diameter) Height=32r=6r…

Q: None

A:

Q: dx ii) d-2(x); (1+ x²' | 82(x) In(x)dx d1/3(x)x²dx, iii)

A: I am solving these in step 2

Q: The marginal revenue for selling the xth box of light bulbs is  10 + 0.001x2e−x/100.  Find the…

A: Given: The marginal revenue for selling the xth box of light bulbs is given by: 10+0.001x2e-x100 The…

Q: Analytically consider the variation of rainfall around a typical rain gauge that registered 2.0 mm…

A:

Q: The length () of rectangle is decreasing at the rate of 2 cm/sec while the width (w) is increasing…

A: This question can be solved using rate of change of physical quantities.

Q: the marginal revenue (in dollars per unit) for a month for a commodity is t-0.2r , find the total…

A: If marginal revenue function is given then to find out total revenue function we have to integrate…

Q: The volume of a square decreases at a constant rate of 0.8m3s-1. Find an equation for the rate of…

A:

Q: Two variables are proportional if they can be written at y = kx , where k is some constant. This…

A:

Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s…

A: We have to find the linear approximation.

Q: A bicyclist is riding on a path modeled by the function f(X) = 0.04(8x-x^2), where x and F(X) are…

A: The path is given by the function: f(x)=0.048x-x2

Q: S4xy1+ x dx 5.

A: on solving this we get the

Q: Find the average rate of change of the function f(x) =x +5x from x, = 1 to x, =2. The average rate…

A:

Q: Suppose you are drinking root beer from a conical paper cup. The cup has a diameter of 10…

A: From the given information, the radius of the cone is 5 centimeters and height(depth) of the cone is…

Q: Use differentials to estimate (or approximate) the amount of tin in a closed tin box with height…

A: To use differentials to estimate (or approximate) the amount of tin in a closed tin box with height…

Q: t-value ? t-critical?

A: Obtain the value of the test statistic. The value of the test statistic is obtained below as…

Q: The fluorescence of each of a series of acidic solutions of qu mined five times. The results are…

A: By taking the average fluorescence intensity as a function of conc. as follows : Hence,

Q: The total cost of producing x shirts is: C(x) = 6000 + 30x, %D in dollars. Find the rate at which…

A: Differentiate the cost function to calculate the rate of change of cost.

Q: ating er linear dlferential equation below. hot actually solve the equation.) dy + 3x³y = In x dx

A:

Q: The marginal revenue for the sale of a product can be modeled by dR/dx=0.04x+100/x+10. where x is…

A:

Q: he revenue (in dollars) from the sale of x units of a certain product can be described by R(x) =…

A: Given that:Rx=100x-0.07x2To find R''x

Q: The monthly output of a certain product is Q(x) = 2600x5/2 where x is the capital investment in…

A: The monthly output of a certain product is  Q(x) = 2600 X5/2 Where x is the capital investment in…

Q: Find the average rate of change of the function f(x)= x + 9x from x, =2 to x, = 4. The average rate…

A:

Q: Find the average rate of change of the function f(x) = x+5x from x, = 1 to x, = 2. The average rate…

A: Topic - functions and average

Q: Estimate - dx using left endpoints for n = 3 approximating rectangles. х 2 dx is approximately

A: We have to find the Riemann sum for ∫232xdx with n=3 rectangles, using left endpoints.

Q: A company's marginal profit is given by m(x)=-2x + 300 dollars per item, where x is the number of…

A: The average of any function f(x) in the interval [a, b] is given by:

Q: The marginal revenue of the xth box of flash cards sold is 400e-0.003x dollars per box. Find the…

A: Given that the marginal revenue of the x-th box of flash cards sold is 400e-0.003x dollars per box.…

Q: The marginal profit for a product is modeled by dp = -0.0002x + 14.2dx Apply the integration to…

A:

Q: The sides of a cube increase at a rate of K cm/s. When the sides have a length of 2 cm, the rate of…

A:

Q: an object is moving in than positive x direction slowing at a rate of 2.93 m/s^2. After moving…

A: To find the initial speed

Q: An inverted circular cone has a radius of 10 cm and a height of 15 cm. When water level in the cone…

A: GIVEN: radius of inverted circular cone = 10 CM Height = 15 cm

Q: The marginal revenue for selling the xth box of light bulbs is  10 + 0.001x2e−x/100.  Find the…

A: The marginal revenue is given by 10+0.001x2e-x100 Therefore the total revenue is given by…

Q: The marginal revenue of the (n)th box of flash cards sold is 100e-0.001n dollars. Find the revenue…

A: The revenue earned by selling the nth box of flash card is R'n=100e-0.001n Here the boxes are…

Q: (x² – 5x)e* dx

A:

Q: The volume of a cube decreases at a rate of 10 meters33 per second. Find the rate at which the side…

A:

Q: Mrs. Santa has a ball of cheese wrapped in red wax and decided to cut in half, to share with her…

A: Here we solve the given problem of differential.

Q: A tank is utilized for mixing sugar solutions which can initially contain 80 gallons of water. A…

A: To find: Amount of sugar in the tank after 10 minutes

Q: A partially filled tank with 100 gallons of water in which there are 10 pounds of dissolved salt. a…

A:

Q: The radiation R (t) in a substance decreases at a rate that is proportional to the amount present;…

A: Please refer the attached image for complete solution.

Q: The marginal revenue of the xth box of flash cards sold is 200e-0.003x dollars per box. Find the…

A:

Q: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(3x + 3)−1 − 1000 where x…

A: The revenue from the sale of a product is, in dollars,R = 1500x + 3000(3x + 3)−1 − 1000where x is…

Q: Use differentials to approximate the change in revenue (in dollars) corresponding to an increase in…

A: dydx represent  rate of change in y with respect to x . i.e. how much y changes when x increase by…

Q: nstant of integration.) ex² + 7x - 4 dx x - 5

A: