Please answer both questions. Thank you. The volume of a cylinder of radius r and height h is V = ar²h.Calculate the percentage increase in V if r is increased by 5% and h is increased by 0.9%.Hint: Use the linear approximation to show that Y2ArAh+AVx 100%%The volume of a certain cylinder V is determined by measuring r and h.Which will lead to a greater error in V:O A. a 1% error in rO B. a 1% error in r is equivalent to a 1% error in hO C. a 1% error in h The monthly payment for a home loan is given by a function f(P,r, N) where P is the principal (the initial size of the loan), r theinterest rate, and N the length of the loan in months. Interest rates are expressed as a decimal: A % interest rate is denoted by r =:0.075.If P = 500000, r = 0.075, and N = 348(a 29-year loan), then the monthly payment is f(500000, 0.075, 348) = 692. Furthermore, withthese values we haveaf5350,drafaf0.007,-1.4315ƏNEstimate:(a) The change in monthly payment per 3000 increase in loan principal:Af =dollars(b) The change in monthly payment if the interest rate changes from r = 0.075 to r = 0.08:Af =dollars(c) The change in monthly payment if the length of the loan changes from 29 to 30 years:Af -dollars

Name: Please answer both questions. Thank you. The volume of a cylinder of r
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Description: Please answer both questions. Thank you. The volume of a cylinder of radius r and height h is V = ar²h.Calculate the percentage increase in V if r is increased by 5% and h is increased by 0.9%.Hint: Use the linear approximation to show that Y2ArAh+AV

Let the original radius and height be r and h respectively. Since radius is increased by 5%,…

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The volume of a cylinder of radius r and height h is V = ar²h. Calculate the percentage increase in V if r is increased by 5% and h is increased by 0.9%. Hint: Use the linear approximation to show that V - 2Ar Ah h AV Y x 100% % The volume of a certain cylinder V is determined by measuring r and h.

The volume of a cylinder of radius r and height h is V = ar²h. Calculate the percentage increase in V if r is increased by 5% and h is increased by 0.9%. Hint: Use the linear approximation to show that V - 2Ar Ah h AV Y x 100% % The volume of a certain cylinder V is determined by measuring r and h.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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