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Trigonometry (MindTap Course List)

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

Section: Chapter Questions

Problem 8PS

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Revenue and Marginal Revenue Functions) Suppose the unit price p in dodars for a
quantity x demanded of a certain product of a company is given by
P = -0.05x + 700
(0 ≤ x ≤ 20,000)
(i) Find the revenue function R(x); (ii) Find the marginal revenue function R'(x);
(iii) Find the marginal revenue function at production level x = 1700.
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Marginal Revenue The demand function for a certain boat company's 34 ft Sundancer yacht is p = 300 − 0.01x ln(x) where x denotes the number of yachts and p is the price per yacht in hundreds of dollars. (a) Find the revenue function R(x) and the marginal revenue function R'(x) for this model of yacht. R(x) = R'(x) = (b) Use the result of part (a) to estimate the revenue to be realized from the sale of the 425th 34 ft Sundancer yacht. (Round your answer to the nearest dollar.) $_________
Marginal Revenue The demand function for a certain boat company's 34 ft Sundancer yacht is p = 500 − 0.01x ln(x) where x denotes the number of yachts and p is the price per yacht in hundreds of dollars ' (a)Find the revenue function R(x) and the marginal revenue function R'(x) for this model of yacht. R(x)= R'(x)= Use the result of part (a) to estimate the revenue to be realized from the sale of the 475th 34 ft Sundancer yacht. (Round your answer to the nearest dollar.) $
Net change in cost A company’s marginal cost function is .1x2 - x + 12 dollars, where x denotes the number of units produced in 1 day. (a) Determine the increase in cost if the production level is raised from x = 1 to x = 3 units. (b) If C(1) = 15, determine C(3) using your answer in (a).
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1. Integration By Parts (Short-Cut Method)
For the function f(x)=x +2cos x on the interval [0,2pi]:a) Find the critical values.b) Find the open intervals on which f is increasing or decreasing using sign analysis.c) Find the relative extrema using the first derivative test.d) Find the relative extrema using the second derivative test.e) Find the intervals of concavity.f) Find any inflection points (x, y).2. Sketch the graph of a function with the following characteristics: f(2)=f(4)=0 f(x) > 0 for x<3 f(3) does not exist f(x)<0 for x>3 f "(x) > 0, x ≠ 3 questions d ,e f, 2(1), 2(2), 2(3) ,2(4) ,2(5) need to be answered.thanks
For the function f(x)=x +2cos x on the interval [0,2pi]:a) Find the critical values.b) Find the open intervals on which f is increasing or decreasing using sign analysis.c) Find the relative extrema using the first derivative test.d) Find the relative extrema using the second derivative test.e) Find the intervals of concavity.f) Find any inflection points (x, y).2. Sketch the graph of a function with the following characteristics: f(2)=f(4)=0 f(x) > 0 for x<3 f(3) does not exist f(x)<0 for x>3 f "(x) > 0, x ≠ 3
Using the equation y= x^3/ x^2 - 4 Determination of the second derivative of the function Determination of critical numbers for the second derivative test Intervals of concavity (based on the 2nd derivative test) Points of inflection (including both x and y values – you may use decimal approximations – round to 2 decimals) Info X and y intercept is (0, 0) Restrcitons is XER -{2,-3} Vertical asymptote is x=2 and x= -2 HA does not exist Discontinuity at x=-2,2 Derivative of the 1st function is y’=x^4-12x^2/(x^2-4)^2

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