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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tutor 28 answer 1,2 only
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc32ca5a9-fa89-4035-ac59-02a6d49f7e2d%2F15fca50e-4d14-49ea-9e6e-27ca01bc49d1%2F6x4c8l_processed.jpeg&w=3840&q=75)
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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