Asymptotes, Intervals ofIncrease or Decrease, Localmaximum and minimum,Concavity and points ofInflection, Sketch the function/Plot the graph) of it (Particularsolution).dNa+N = t, N(2) = 8a.b. 4+ 0.069T = 2.07,T'(0) = –30dt

(As per bartleby guidelines, for multiple questions asked, only the first one will be solved. Please…

Answered: Asymptotes, Intervals of Increase or…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 15T

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Minimum Find the minimum value of x2+20/(x+1) on the horizontal span of 0 to 10.
Maximum Sales Growth This is a continuation of Exercise 10. In this exercise, we determine how the sales level that gives the maximum growth rate is related to the limit on sales. Assume, as above, that the constant of proportionality is 0.3, but now suppose that sales grow to a level of 4 thousand dollars in the limit. a. Write an equation that shows the proportionality relation for G. b. On the basis of the equation from part a, make a graph of G as a function of s. c. At what sales level is the growth rate as large as possible? d. Replace the limit of 4 thousand dollars with another number, and find at what sales level the growth rate is as large as possible. What is the relationship between the limit and the sales level that gives the largest growth rate? Does this relationship change if the proportionality constant is changed? e. Use your answers in part d to explain how to determine the limit if we are given sales data showing the sales up to a point where the growth rate begins to decrease.
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find the inflection points (if any) on the graph ofthe function and the coordinates of the points on the graph where thefunction has a local maximum or local minimum value. Then graph the function in a region large enough to show all these points simultaneously. Add to your picture the graphs of the function’s first and secondderivatives. How are the values at which these graphs intersect thex-axis related to the graph of the function? In what other ways are thegraphs of the derivatives related to the graph of the function?129. y = x5 - 5x4 - 240 130. y = x3 - 12x
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find the inflection points (if any) on the graphof the function and the coordinates of the points on the graph wherethe function has a local maximum or local minimum value. Then graphthe function in a region large enough to show all these points simultaneously.Add to your picture the graphs of the function’s first andsecond derivatives. How are the values at which these graphs intersectthe x-axis related to the graph of the function? In what other ways arethe graphs of the derivatives related to the graph of the function? y = x3 - 12x2
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Asymptotes, Intervals of Increase or Decrease, Local maximum and minimum, Concavity and points of Inflection, Sketch the function/ Plot the graph) of it (Particular solution). dN a+N = t, N(2) = 8 a. b. 4+ 0.069T = 2.07,T'(0) = –30 dt