Applications of Integral Calculus Find the total utility equation for a consumer if the marginal utility is MU = 12 - 9 Q

Q: Integrating Of the form A- (a) 2(1+)

A: Here we have, I=∫x sin-1(x)dx ..................... (1) using integration by parts.

Q: Estimating time Suppose you want to travel D miles at a constantspeed of (60 + x) mi/hr, where x…

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Q: Example 52. Let X1 and X2 have the joint pdf Find a) the joint pdf of Y1 = X1- X2 and Y2 = X1 + X2,…

A: Let X and Y be the random variables on a sample space S with respective image sets X(S) =…

Q: uestion 20 The revenue (in rand) from renting x apartments is given by the function R(x) = 6x³ – 8a²…

A: Marginal revenue is differentiation of revenue function.

Q: Revenue The total revenue for a product can be calculated as the area under the demand curve.…

A: The demand function given is as, Dq=110q2-10q+260 in the interval 0≤q≤50. It is given that the width…

Q: tributIO Show that the column and row totals of Table 1 give the marginal of X alone and of Y alone.

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Q: Acceleration Due to Gravity Find the acceleration a(t) of a ball tossed vertically in the air from…

A: Consider the given initial velocity  u=12ms

Q: Estimating time Suppose you want to travel D miles at a constantspeed of (60 + x) mi/hr, where x…

A: Consider the given linear approximation is, As 63-60=3 consider the value of x=3. Substitute D =93…

Q: A model for the yield Y of an agricultural crop as a function of the nitrogen level N and…

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Q: A large tank initially contains 500 litres of brine in which 5 kilograms of salt is dissolved.…

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Q: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = -0.75x2 +…

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Q: Marginal Revenue The demand function for a certain boat company's 34 ft Sundancer yacht is p = 600 -…

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Q: Demand for a product modeled by function: p=D(x)= 6(-e0.1x) where p is the price per unit,in…

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Q: 94 MC- where x is the number of units. Find the total cost of producing units 19. A company's…

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Q: Estimating time Suppose you want to travel D miles at a constantspeed of (60 + x) mi/hr, where x…

A: Linear approximation of T at x=a is T(x)=L(a)=T(a)+T'(a)(x-a) Since  Time=DistanceSpeed

Q: Net change in cost A company’s marginal cost function is .1x2 - x + 12 dollars, where x denotes the…

A: The marginal cost function is C'(x)=0.1x2-x+12 By integrating the marginal cost function, we find…

Q: A tank contains 80 kg of salt and 2000 L of water. A solution of a concentration 0.02 kg of salt per…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: c) A physical quantity C is given by 2t C(m, n, t) %3D Vmn The maximum percentage error in the…

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Q: A bicycle is classified by the diameter of its tires. For example, a 20-inch bicycle has tires that…

A: The number of rotations that the tires rotate in one minutes in given in case of both bicycles.…

Q: A 500-gallon tank contains a 0.5 lb/gal salt solution with a volume of 200 gal. Then the tank is fed…

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Q: NTEGRAL CALCULUS: WALLI'S FORMULA Show complete solution

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Q: (i) Evaluate A (ii) Find the marginal pdf's

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Q: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = −0.75x2 +…

A: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = −0.75x2 +…

Q: Two substances A and B are combined to form a product C. The formation of the product is…

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Q: Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the…

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Q: The rate of change of the radius of a sphere is constant. The rate of change of the volume is ? A.…

A: Rate of change of radius of a sphere is constant.

Q: Sounds are produced when vibrating objects create pressure waves in some medium such as air. When…

A: Given, the threshold intensity I0 = 10-12 w/m2. The formula to measure sound levels…

Q: section 7.1 : Integration by Parts Evaluate the Integrals

A: Evaluate the integral. (7). ∫x2+2xcos x dx

Q: A tank contains 100 kg of salt and 1000 L of water. A solution of a concentration 0.05 kg of salt…

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Q: Calculus: Use a local LINEAR approximation to estimate 9.021.5

A: the given number, 9.021.5

Q: 61. Total Profit A marginal profit function (in dollars per unit) at a production level of x units…

A: The marginal profit function is the derivative of profit function  P'(x) = dP(x)/dx  P(x) = ∫ P'(x)

Q: Using Integration By Parts, 2x² e3" dx = u v - |2x2 e3" dx = u v-, -Svau Find u v- Sv du · x3 e 3 dx…

A: Integral

Q: A large tank initially contains 500 litres of brine in which 5 kilograms of salt is dissolved.…

A: Given that v(0)=500 y(0)=5kg The value of input is : Rin=0.06×2.5=0.15 kg/min The value for output…

Q: 61. Total Profit A marginal profit function (in dollars per unit) at a production level of x units…

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Q: Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the…

A: Find your answer below

Q: 9- Changing dimensions in a box The lengths a, b, and c of the edges of a rectangular box are…

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Q: One popular model for the interactions between two molecules is the Leonard-Jones 6-3 potential.…

A: The given function is, Vr=1r6-Ar3

Q: QI) Using Fixed point, bisection, and Newton-Rapson methods, Find a numerical solution of the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: %3D Use the Chain Rule to evaluate the partial derivative oh at the point (q, r) = (3,2), where h(u,…

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Q: QI/ Find the orthogonal trajectories of the family of curves x+y -c.x Q2/ Show that. WARITH…

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Q: Integral Calculus: A particle moves according to the given velocity function over the given…

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Q: 10) Marginal Cost: A company's marginal cost function is MC(x) = x ? + 4 dollars, where x is the…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: %3D A business's marginal cost in dollars per unit, is given by CI(x) = 0.04r² +5 where I is the…

A: integration

Q: Applications of Integral Calculus - Find the equation for total revenue and average revenue from the…

A: From  the given Marginal revenue  MR = 20 - 8Q  Total revenue and average revenue is calculated as…

Q: PARTIAL DERIVATIVE SYMBOL (Note: use the letter) Find the ff: Result of substitution Resulting…

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Q: A swimming pool is initially filled with 500 m3 of water with a chlorine concentration of 10 g/m³.…

A: A swimming pool is initially filled with 500 m3 of water with a chlorine concentration of 10 g/m3.…

Q: e total cost to produce x boxes of cookies is C dollars, where C = 0.0001x - 0.03x2 + 3x + 400. In t…

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Q: Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 220,000 + 9600x…

A: We need to differentiate cost function with respect to x