Suppose that a particle moves along a straight line with velocity - cos(t/2), sin(t/3), te [0, T], t e (T, 37], v(t) = in meters/second. What is the total distance traveled fromt = 0 up to t = 3T seconds ? (You only need to input Type your answer...

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Q: t2(sinh 2.75t – 5)

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A: rs=s, 2s, s2

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A: As per Bartleby guidelines rule I am answering only first question as both question are different…

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Q: 2. Find the derivative (dy/dx) of the following functions: n) y = 1- cos 3x sin 2x + sin 8x tan 4x

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Q: sin 4. Compute (1-7) dr. x(x−7)

A: (4)

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Q: Find the derivative of r = In (cos" x).

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Q: (b) Find the derivative, d af sin dr sin (vt) dt.

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Q: sin Vx z = 1+ cos Vx COS

A: We havez=sinx1+cosx

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