Explanation Given information: The given expression is ℺ t = 0.01 . Calculation: The formula of relative rate of change can be written as f ' ( t ) f ( t ) ≈ 1 f ( t ) ( f ( t + △ t ) − f ( t ) △ t ) . We have estimate the relative rate of change of f ( t ) = t 2 at t = 10 . So f ( 10 ) = ( 10 ) 2 = 100 So relative change can be calculated as follows, f ' ( t ) f ( t ) ≈ 1 f ( 10 ) [ f ( 10

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ISBN: 9781119399353

Author: DA

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Chapter 2.3, Problem 64P

To determine

To estimate:

The relative rate of change of f(t)=t2 at t=10.

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Chapter 2.3, Problem 63P

Chapter 2.3, Problem 65P

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2. (15 pts) Write the Maclaurin series for the function f(x) = sinx. Use it to write the Maclaurin series for g(x) = sin. Express find as a series. Write it in sigma notation as well.

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