Question

14 If r = (1-cos t) i+(t-sin t)j then find dr/dt.​

Answer 1

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Answer 2

Concept:

d ( sin x) / dx = cos x

d ( cos x ) / dx = - sin x

Given:

We are given that:

r = ( 1 - cos t ) i + ( t - sin t ) j

Find:

We need to find dr / dt.

Step-by-step explanation:

r = ( 1 - cos t ) i + ( t - sin t ) j

Differentiating both sides with respect to t:

dr / dt = d [ ( 1 - cos t ) i + ( t - sin t ) j ] / dt

The differentiation of sin x is cos x and cos x is - sin x

Using it, we get that:

dr / dt = (0 - ( - sin t) ) i + ( 1 - cos t ) j

dr / dt = ( sin t ) i + ( 1 - cost t ) j.

Therefore, after differentiating r with respect to t, we get the answer as ( sin t ) i + ( 1 - cost t ) j.

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