Question 2 Find the length of the curves (a) r(t) = (2cost)i + (2sint)j + t*k, 0stS/4 (b) r(t) = (3cost)i + (3sint)j+2t3/2 k, t = 0

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A: topic - equation of curve in x,y

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A: solution:-Given I=∫1+cosx+y121/2using Euler's equation ∂f∂y-ddx∂f∂y'=0sincef=1+cosx+y121/2is…

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A: Given

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A: y=ex+e-x2

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A: To Find: Point on the ellipse x=2cost, y=sint, 0≤t≤2π, closet to the point 34,0. Concept: Distance…

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A: Given:

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Q: nswer two only: [25] M W Find the equation for tangent to the curve y = x + cos(2x²) at x = 2.

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A: In this question, we will find the area of the region bounded by the given curves.

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A: Redraw the given figure as shown below.

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A: Since you have asked multiple questions in a single request so we will be answering only first…

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Q: If f'(x)=/cosec*.x-1 then what is the arclength of the curve y= f (x) on 3 2 B) 3 D) 3 E) V3-1 A) 1…

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Q: Find the exact length of the curve. y = ln(cos x),   0≤ x ≤ π/3

A: Formula used: L=∫ab1+dydx2dx

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Q: 1. Find the length of the curve r(t) = (sin 2t, cos! cos 2t) from t =0 to t 2n. %3D II

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Q: 7. Find the length of the curve f(1) = In(sin r), 0 < r < a/6.

A: Topic = Application of integration

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