-sin3t cos3t. For what values of t is the block at its resting position x 0?A block is attached to a spring and set in motion on a frictionless plane. Its location on the surface at any time t in seconds is given in meters by x =The block is at its resting position when twhere k is a nonnegative integerk(Type exact answers in terms of t.)

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Asked Nov 13, 2019
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-sin3t cos3t. For what values of t is the block at its resting position x 0?
A block is attached to a spring and set in motion on a frictionless plane. Its location on the surface at any time t in seconds is given in meters by x =
The block is at its resting position when t
where k is a nonnegative integer
k
(Type exact answers in terms of t.)
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-sin3t cos3t. For what values of t is the block at its resting position x 0? A block is attached to a spring and set in motion on a frictionless plane. Its location on the surface at any time t in seconds is given in meters by x = The block is at its resting position when t where k is a nonnegative integer k (Type exact answers in terms of t.)

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Expert Answer

Step 1

Given: -

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1 sin 3t cos3t x = -

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Step 2

To find: -

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The values oft for which x =0

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Step 3

Calculation...

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- sin 3tcos 3t 3 1 -sin 3t +cos 3t 3 sin 3t+ 3 cos 3t 0 -sin 3t 3cos 3t sin 3t -3 cos 3t tan 3t - 3t tan 3 t =- tanV3 t: 9

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Trigonometry