In the following sketch, O is the centre of the circle. AE= ED and DT=TC. %3D Prove that (1) Ê =Ô¡ B=Ô2 (2)

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A: Since solve the first question for you. If youwant any specific question to be solved then please…

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A: Graph are given below:

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Q: - 77T then use the rectangular coordinates of P(t) ft= to fin 6. sint = %3D cost = %3D

A: Solution:

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Q: Use the arc length formula 2 dx dy L + dt dt dt to find the arc length of the curve. x = cos 12t, y…

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Q: Find the arclength of y = 3r/2 on 1 < a < 3

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A: The curve is r(t)=a cos3ti + a sin3tj   Interval is 0, 2π

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A: topic - equation of a circle

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A: Here I am attaching image so that you understand each and every step.

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A: Given Differentiating r with respect to thita ,we get

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A: Solution: dy/dx =2x  ,    y(0)=-1

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Q: 5. Evaluate (y +tan x)dx+(x -2ry+y)dy, where C is the circler +y' =4 and is oriented in a positive…

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Q: (2? – y) dæ + (y² + æ) dy] - where C is the parabolic arc Y = x2 from (1, 1) to (0, 0). Oo None of…

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Q: Consider the parametric equations x = t2 - 1 and y = t2 + 2t. (a) Find (dy)/(dx) and (d2y)/(dx2).…

A: Consider the parametric equations  x = t2 − 1 and y = t2 + 2t

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A: Solution is in step 2