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10) Find the slope of the tangent line to the graph of y = x-5x³ + 2 when x-2 11) Find the equation of the tangent line to the graph in problem 10 when x-2.. Write the equation of the tangent line in slope intercept form 12) Find all the values of x where the tangent line to y = 2x + 9x² – 60x + 4 is horizontal (hint horizontal lines have slope 0) %3D

10) Find the slope of the tangent line to the graph of y = x-5x³ + 2 when x-2 11) Find the equation of the tangent line to the graph in problem 10 when x-2.. Write the equation of the tangent line in slope intercept form 12) Find all the values of x where the tangent line to y = 2x + 9x² – 60x + 4 is horizontal (hint horizontal lines have slope 0) %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Course Home b My Questions | bartleby Math 148 weekend number 2.pdf x 48%20weekend%20number%202.pdf 日| + %00L 15) After declining over the past century, the percentage of men aged 65 and older in the workforce has begun to rise in recent years, as shown by the following table Year Percent of men 65 or older in the workforce 1920 55.6 1930 54 1940 41.8 1950 45.8 33.1 096 1970 26.8 1980 16.3 06 000 2010 17.7 20.5 2020 23.3 A) use the regression feature on your calculator to find a cubic function (use CubicReg) that models the data LET x=0 correspond to the year 1920 and change all the other years accordingly b) Use your answer in part a to the rate the at which the percent of men aged 65 and older in the workforce was changing in 1965, 2015 and 2021 54°F Cloudy
Transcribed Image Text:Course Home b My Questions | bartleby Math 148 weekend number 2.pdf x 48%20weekend%20number%202.pdf 日| + %00L 15) After declining over the past century, the percentage of men aged 65 and older in the workforce has begun to rise in recent years, as shown by the following table Year Percent of men 65 or older in the workforce 1920 55.6 1930 54 1940 41.8 1950 45.8 33.1 096 1970 26.8 1980 16.3 06 000 2010 17.7 20.5 2020 23.3 A) use the regression feature on your calculator to find a cubic function (use CubicReg) that models the data LET x=0 correspond to the year 1920 and change all the other years accordingly b) Use your answer in part a to the rate the at which the percent of men aged 65 and older in the workforce was changing in 1965, 2015 and 2021 54°F Cloudy
Course Home x b My Questions | bartleby Math 148 weekend number 2.pdf x lath%20148%20weekend%20number%202.pdf %00L O HI+ 10) Find the slope of the tangent line to the graph of y = x+ – 5x + 2 when x=2 11) Find the equation of the tangent line to the graph in problem 10 when x=2.. Write the equation of the tangent line in slope intercept form 12) Find all the values of x where the tangent line to y = 2x3 + 9x2 - 60x + 4 is horizontal (hint horizontal lines have slope 0) 13) Assume that the price, in dollars, of a sound system is given by 000 =Dd Where q represents the quantity demanded for the product a) Find the Revenue function R(g) and the marginal revenue function R'(q) b) Find an interpret (write a sentence explaining the meaning) of the marginal revenue when demand is 10 systems Suppose the cost of producing q sound systems is given by the equation C(q) = 0.4q2 + 160q + 50 %3D c) Find the profit function, P(q) and the marginal profit function P'(q) d) Find and interpret he marginal profit when the demand is 10 systems 14) An analyst has found that a company's cost and revenue functions for a particular product are given by x2 C(x) = 2x, R(x) = 6x Respectively where x is the number of items produced a) Find marginal cost function, the marginal revenue function and the marginal profit function b) What value of x makes marginal profit equal 0 c) Find the profit when the marginal profit is zero 54°F Cloudy
Transcribed Image Text:Course Home x b My Questions | bartleby Math 148 weekend number 2.pdf x lath%20148%20weekend%20number%202.pdf %00L O HI+ 10) Find the slope of the tangent line to the graph of y = x+ – 5x + 2 when x=2 11) Find the equation of the tangent line to the graph in problem 10 when x=2.. Write the equation of the tangent line in slope intercept form 12) Find all the values of x where the tangent line to y = 2x3 + 9x2 - 60x + 4 is horizontal (hint horizontal lines have slope 0) 13) Assume that the price, in dollars, of a sound system is given by 000 =Dd Where q represents the quantity demanded for the product a) Find the Revenue function R(g) and the marginal revenue function R'(q) b) Find an interpret (write a sentence explaining the meaning) of the marginal revenue when demand is 10 systems Suppose the cost of producing q sound systems is given by the equation C(q) = 0.4q2 + 160q + 50 %3D c) Find the profit function, P(q) and the marginal profit function P'(q) d) Find and interpret he marginal profit when the demand is 10 systems 14) An analyst has found that a company's cost and revenue functions for a particular product are given by x2 C(x) = 2x, R(x) = 6x Respectively where x is the number of items produced a) Find marginal cost function, the marginal revenue function and the marginal profit function b) What value of x makes marginal profit equal 0 c) Find the profit when the marginal profit is zero 54°F Cloudy
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