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...
Related questions
Question
do like example 7
![1
2. If y = 2
find the differential dy. Hence, estimate the value of
1 + (1.023 .
+ x?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F094a68cb-ae8f-4a26-8f61-869c6519ee11%2Fae5708e4-4828-47ab-ba96-ac3f8f8d25a5%2F280mhrp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1
2. If y = 2
find the differential dy. Hence, estimate the value of
1 + (1.023 .
+ x?
![differential dy
f'(3) 6x
3e ( 0.001)
%3D
0.003
4
Example 7: Estimate the value of 16.03 +
using differential.
V 16.03
Give your answer correct to three (3) decimal places.
Solution:
Let f(x) =
4.
Vx +
r(x) = 2x
(x)
f( Xo + 8x)
f( Xe ) + f'(Xo ) 8x
16 > 16.03
= 16
ôx
= 0.03
16.03 +
4.
f(16) + f'( 16) 8x
21
16.03
4.
V 16 +
V 16
32)(0.03)
(V16 j5 / (0.03)
6 +
1.
6.003
111](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F094a68cb-ae8f-4a26-8f61-869c6519ee11%2Fae5708e4-4828-47ab-ba96-ac3f8f8d25a5%2Fsyacrka_processed.jpeg&w=3840&q=75)
Transcribed Image Text:differential dy
f'(3) 6x
3e ( 0.001)
%3D
0.003
4
Example 7: Estimate the value of 16.03 +
using differential.
V 16.03
Give your answer correct to three (3) decimal places.
Solution:
Let f(x) =
4.
Vx +
r(x) = 2x
(x)
f( Xo + 8x)
f( Xe ) + f'(Xo ) 8x
16 > 16.03
= 16
ôx
= 0.03
16.03 +
4.
f(16) + f'( 16) 8x
21
16.03
4.
V 16 +
V 16
32)(0.03)
(V16 j5 / (0.03)
6 +
1.
6.003
111
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