Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Question
tutor 28 answer no 2 only, short work path
Transcribed Image Text:approximate the differential dy when x changes from 64 to 64,07
28 LINEAR APPROXIMATIONS AND DIFFERENTIALS
MAT
TUTORIAL 28
1
If y =
If y =
1 + (1.023y
2
find the differential dy. Hence, estimate the value of
1 + x
3. If S =
16 find the differential dS when r changes from 3.0 cm to 3 05
4. By using differentials, estimate the value of (8.01 ) +
(8.01 )
Give your answer correct to four decimal places.
5.
Use differentials to estimate 1.02 + V 1.02 to four decimal places.
( 49.02 ) - 8.
1/2
Use differentials to estimate ( 49.02 )2
Give your answer correct to 2 decimal places.
6.
Use differentials to approximate ( 16.02)
three decimal places.
7.
2 16.02. Give your answer correct to
8.
Use differential to estimate the value of 4.01 - TAoi: Give your answer correct to
four decimal places.
9.
Use differentials to estimate the value of V9.03 +
to three decimal places.
V9.03
1
using differentials.
V 80.9
10. Estimate the value of V 80.9 +
Give your answer to 3 decimal places.
11. Use differentials to estimate the value of V 64.04
2
V 64.04 to two decimal places.
12. Given R = (t + 1) sint, approximate the value of R if t increases from
0 cm to 0.05 cm.
13. If f(x) = x
Hence, estimate the value of (1.05 ) V5 - (1.05 ).
5 - x, find the differential df.
14. Use differentials to estimate the value of (1.06 )5
- (1.06 ? to tu
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