The volume V of a cylinder is computed using the values 3.9m for the diameter and 6.7m for the height. Use the linear approximation to estimate the maximum error in V if each of these values has a possible error of at most 4%. Percentage error in V: %

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 71E
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Answer both questions. For question 1 only part c is required. 

The volume V of a cylinder is computed using the values 3.9m for the diameter and 6.7m for the height. Use the linear approximation to
estimate the maximum error in V if each of these values has a possible error of at most 4%.
Percentage error in V:
Transcribed Image Text:The volume V of a cylinder is computed using the values 3.9m for the diameter and 6.7m for the height. Use the linear approximation to estimate the maximum error in V if each of these values has a possible error of at most 4%. Percentage error in V:
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 the
interest rate, and N the length of the loan in months. Interest rates are expressed as a decimal: A % interest rate is denoted by :
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, with
0.075.
these values we have
af
af
0.007,
af
5350,
-1.4315
ar
ƏN
Estimate:
(a) The change in monthly payment per 3000 increase in loan principal:
Af - 21
dollars
(b) The change in monthly payment if the interest rate changes from r = 0.075 to r = 0.08:
Af = 26.75
dollars
(c) The change in monthly payment if the length of the loan changes from 29 to 30 years:
Af - 17.178
dollars
Transcribed Image Text: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 the interest rate, and N the length of the loan in months. Interest rates are expressed as a decimal: A % interest rate is denoted by : 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, with 0.075. these values we have af af 0.007, af 5350, -1.4315 ar ƏN Estimate: (a) The change in monthly payment per 3000 increase in loan principal: Af - 21 dollars (b) The change in monthly payment if the interest rate changes from r = 0.075 to r = 0.08: Af = 26.75 dollars (c) The change in monthly payment if the length of the loan changes from 29 to 30 years: Af - 17.178 dollars
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