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1-34 7-10 Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. 7. 1 + 2x 1 +x 8. (1 + x)-3 1- 3x 9. 1/(1 + 2x)* -1- 8x 10. tan x I. A whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and'or eChapterfs). perience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it SECTION 2.9 Linear Approximations and Differentials 33. The circumference of a sphere was measured to be 84 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the maximum error in the calculated surface area. What is the relative error? (b) Use differentials to estimate the maximum error in the calculated volume. What is the relative error? 34. Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with diameter 50 m. 68°F

1-34 7-10 Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. 7. 1 + 2x 1 +x 8. (1 + x)-3 1- 3x 9. 1/(1 + 2x)* -1- 8x 10. tan x I. A whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and'or eChapterfs). perience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it SECTION 2.9 Linear Approximations and Differentials 33. The circumference of a sphere was measured to be 84 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the maximum error in the calculated surface area. What is the relative error? (b) Use differentials to estimate the maximum error in the calculated volume. What is the relative error? 34. Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with diameter 50 m. 68°F

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 9E
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1-34
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7-10 Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. 7. 1 + 2x 1 +x 8. (1 + x)-3 1- 3x 9. 1/(1 + 2x)* -1- 8x 10. tan x I. A whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and'or eChapterfs). perience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it SECTION 2.9 Linear Approximations and Differentials 33. The circumference of a sphere was measured to be 84 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the maximum error in the calculated surface area. What is the relative error? (b) Use differentials to estimate the maximum error in the calculated volume. What is the relative error? 34. Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with diameter 50 m. 68°F
Transcribed Image Text:7-10 Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. 7. 1 + 2x 1 +x 8. (1 + x)-3 1- 3x 9. 1/(1 + 2x)* -1- 8x 10. tan x I. A whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and'or eChapterfs). perience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it SECTION 2.9 Linear Approximations and Differentials 33. The circumference of a sphere was measured to be 84 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the maximum error in the calculated surface area. What is the relative error? (b) Use differentials to estimate the maximum error in the calculated volume. What is the relative error? 34. Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with diameter 50 m. 68°F
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