Batting averages in baseball are defined by A = x/y, where x20 is the total number of hits and y>0 is the total number of at-bats. Treat x and y as positive real numbers and note that 0SAS1. Complete parts (a) through (c) below. a. Use differentials to estimate the change in the batting average if the number of hits increases from 64 to 68 and the number of at-bats increases from 170 to 174. First find the partial derivatives A, and Ay. 1 A = (Type an expression using x and y as the variables.) y Ay = (Type an expression using x and y as the variables.) Now, estimate the change in the batting average if the number of hits increases from 64 to 68 and the number of at-bats increases from 170 to 174. AA = (Round to five decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
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Batting averages in baseball are defined by A = x/y, where x20 is the total number of hits and y> 0 is the total number of at-bats. Treat x and y as positive real numbers
and note that 0<AS1. Complete parts (a) through (c) below.
%3D
a. Use differentials to estimate the change in the batting average if the number of hits increases from 64 to 68 and the number of at-bats increases from 170 to 174.
First find the partial derivatives A, and A,-
1
Ax
(Type an expression using x and y as the variables.)
X
A, =
y?
(Type an expression using x and y as the variables.)
Now, estimate the change in the batting average if the number of hits increases from 64 to 68 and the number of at-bats increases from 170 to 174.
AA =
(Round to five decimal places as needed.)
Transcribed Image Text:Batting averages in baseball are defined by A = x/y, where x20 is the total number of hits and y> 0 is the total number of at-bats. Treat x and y as positive real numbers and note that 0<AS1. Complete parts (a) through (c) below. %3D a. Use differentials to estimate the change in the batting average if the number of hits increases from 64 to 68 and the number of at-bats increases from 170 to 174. First find the partial derivatives A, and A,- 1 Ax (Type an expression using x and y as the variables.) X A, = y? (Type an expression using x and y as the variables.) Now, estimate the change in the batting average if the number of hits increases from 64 to 68 and the number of at-bats increases from 170 to 174. AA = (Round to five decimal places as needed.)
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