Chapter 4: Q. 9 (page 364)

Preview of Differential Equations:
Given each of the following equations involving a functionf, find a possible formula for f(x).
$f' (t) = \sin b t$

Short Answer

Expert verified

The possible formula for the function $f' (t) = \sin b t$ is $f (t) = - \frac{1}{b} \cos b t$ .

Step by step solution

Step 1. Given Information.

The function:

$f' (t) = \sin b t$

Step 2. Consider the function.

Consider the function,

$f (t) = - \frac{1}{b} \cos b t f' (t) = \frac{d}{d t} (- \frac{1}{b} \cos b t) = - \frac{1}{b} (- \sin b t) . b = \sin b t$

So the function is $f (t) = - \frac{1}{b} \cos b t$

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Preview of Differential Equations:
Given each of the following equations involving a functionf, find a possible formula for f(x).
$f' (t) = \sin b t$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Consider the function.

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Preview of Differential Equations:Given each of the following equations involving a functionf, find a possible formula for f(x).f'(t)=sinbt

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Consider the function.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Preview of Differential Equations:
Given each of the following equations involving a functionf, find a possible formula for f(x).
$f' (t) = \sin b t$