Give your answer correct to Use differential to estimate the value of y 4.01 V4.01 8. four decimal places. Use differentials to estimate the value of V9.03 + V9.03 1 to three decimal places. 9.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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answer no 9 only, do like this way example 7 

Give your answer correct to
Use differential to estimate the value of y 4.01
V4.01
8.
four decimal places.
Use differentials to estimate the value of V9.03 +
1
to three decimal places.
9.
9.03
Transcribed Image Text:Give your answer correct to Use differential to estimate the value of y 4.01 V4.01 8. four decimal places. Use differentials to estimate the value of V9.03 + 1 to three decimal places. 9. 9.03
differential dy
= f'(3) 8x
3e" (0.001)
0.003
4.
using differential.
Example 7: Estimate the value of y 16.03 +
16.03
Give your answer correct to three (3) decimal places.
Solution:
Let f(x)
4.
Vx +
1.
f'(x) =
2Vx
f( Xo + 8x )
f(Xo ) + f'(Xo ) 8x
16 > 16.03
X, = 16
8x = 0.03
4.
V 16.03 +
f( 16) + f'(16 ) 8x
V16.03
V 16 +
V 16
4.
+
2-
16 )
(8- 32) (0.03)
%D
6 +
6.003
111
Transcribed Image Text:differential dy = f'(3) 8x 3e" (0.001) 0.003 4. using differential. Example 7: Estimate the value of y 16.03 + 16.03 Give your answer correct to three (3) decimal places. Solution: Let f(x) 4. Vx + 1. f'(x) = 2Vx f( Xo + 8x ) f(Xo ) + f'(Xo ) 8x 16 > 16.03 X, = 16 8x = 0.03 4. V 16.03 + f( 16) + f'(16 ) 8x V16.03 V 16 + V 16 4. + 2- 16 ) (8- 32) (0.03) %D 6 + 6.003 111
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