8. Use differential to estimate the value of √ 4.01 four decimal places. 9. Use differentials to estimate the value of √√9.03 + 1 √4.01 Give your answer correct to to three decimal places. √9.03

Calculus: Early Transcendentals
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Author:James Stewart
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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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28 LINEAR APPROXIMATIONS AND DIFFERENTIALS
TUTORIAL 28
1
, approximate the differential dy when x changes from 64 to 64.07
If y
√x
1
If y =
find the differential dy. Hence, estimate the value of
1 + x²
+ (1.023).
TLF
3.
If S = P + 16 find the differential ds when r changes from 3.0 cm to 3.05 cm
4. By using differentials, estimate the value of (8.01 )² +
(8.01 )
Give your answer correct to four decimal places.
5.
Use differentials to estimate √1.02 +
1.02 to four decimal places.
6.
- 8.
Use differentials to estimate (49.02) - (49.02)¹/2
Give your answer correct to 2 decimal places.
Use differentials to approximate (16.02 )"
three decimal places.
+2√ 16.02. Give your answer correct to
1
8.
Use differential to estimate the value of √ 4.01
four decimal places.
√4.01
4.01. Give your answer correct to
9. Use differentials to estimate the value of √9.03 +
1
to three decimal places.
√9.03
10. Estimate the value of
80.9 + 1
using differentials.
80.9
Give your answer to 3 decimal places.
11. Use differentials to estimate the value of √64.04³-√ 64.04 to two decimal places.
2
12. Given R = (2+1) sint, approximate the value of R if t increases from
0 cm to 0.05 cm.
13. If f(x) = x³ √5 - x², find the differential df.
Hence, estimate the value of (1.05 )³√√5
(1.05 )².
14. Use differentials to estimate the value of (1.06 )³√√5 - (1.06 1² to tur
7.
Transcribed Image Text:28 LINEAR APPROXIMATIONS AND DIFFERENTIALS TUTORIAL 28 1 , approximate the differential dy when x changes from 64 to 64.07 If y √x 1 If y = find the differential dy. Hence, estimate the value of 1 + x² + (1.023). TLF 3. If S = P + 16 find the differential ds when r changes from 3.0 cm to 3.05 cm 4. By using differentials, estimate the value of (8.01 )² + (8.01 ) Give your answer correct to four decimal places. 5. Use differentials to estimate √1.02 + 1.02 to four decimal places. 6. - 8. Use differentials to estimate (49.02) - (49.02)¹/2 Give your answer correct to 2 decimal places. Use differentials to approximate (16.02 )" three decimal places. +2√ 16.02. Give your answer correct to 1 8. Use differential to estimate the value of √ 4.01 four decimal places. √4.01 4.01. Give your answer correct to 9. Use differentials to estimate the value of √9.03 + 1 to three decimal places. √9.03 10. Estimate the value of 80.9 + 1 using differentials. 80.9 Give your answer to 3 decimal places. 11. Use differentials to estimate the value of √64.04³-√ 64.04 to two decimal places. 2 12. Given R = (2+1) sint, approximate the value of R if t increases from 0 cm to 0.05 cm. 13. If f(x) = x³ √5 - x², find the differential df. Hence, estimate the value of (1.05 )³√√5 (1.05 )². 14. Use differentials to estimate the value of (1.06 )³√√5 - (1.06 1² to tur 7.
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