3. Find the arc length of the curve x = (1+t)², y = (1+t)*, 0 < t < 1. 4. Find the arc length of the curve = e' cos t, y = e' sin t, 0 < t < §.

Q: find an equation of the tangent line to the curve at the given point. y=2xsinx, (pi/2, pi

A: Given curve is y=2xsinx. Given point is π2,π. Differentiating the given curve with respect to x, we…

Q: what is the arc lenght of  the curve y=ln(sinx) between th points x=pi/3 x = 2pi/3 ?

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Q: Find the length of the curve x = e' cos(t), y = e' sin(t), 0 <t < r. Length =

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Q: x = 2 sin' (t) if 0<t< 2 sis Find the length of the curve \y=2cos² (t)

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Q: Find y’ if y = Arc cos (sin 4x).

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Q: Find the length of the curve The curve r = (1 + sin 2u)^1/2 , 0 … u … pi(2^(1/2))

A: We have been given the curve  r=1+sin2u where 0&lt;u&lt;π

Q: Find the arc length of the curve y = log(1/cosx) from x = (/4) tox= (/3)

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Q: Find the arc length of r(t) = 3 cos ti + 3 sin tj + 5t^(7/2) k

A: The given vector is r→t=3 cost i^+3 sint j^+5t72 k^....(1) To find: the arc length of the vector.

Q: V. The tangent line at the point (t, y) = (- to 4'2 1 Then, the curve y = cos t is y = bt - - - a a…

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Q: Find unit tangent of curve r(t)=

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Q: Find the length of the curve y = ln (sin x),  pai/6&lt;=x&lt;=pai/2.

A: The given curve is,