19. y = In(1 – x²), 0

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A:

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A: Solution:Given   y=sin x and sin-1 xTo find the area of the region on the interval 0,12Formula:∫sinx…

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A: To set up the integral which gives the arc length of the curve y = ex, 0 ≤ x ≤ 2.

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A: Side View

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A: as per our guidelines we are supposed to answer only one question if there are multiple questions…

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A: Question 1,Given,            y=cot1-x21+x

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A: To find a curve that passes through the point (1,5) and has an arc length on the interval [2,6]…

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A: Given: The curve y=lnx,  for x∈1, e2.

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A: The formula for the arc length of a function f(x) bounded by the interval [a,b] is: Arc…

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A: y=lnsin x, π6≤x≤π2

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A: Simplification

Q: proof

A:

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A: Given,          limθ→0sinθθ

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A: Given:y=lnsecx    for 0≤x≤π4Length of the curve:L=∫ab 1+dydx2  dx

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A: Use angle formula for arc Convert angle in radian

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A: Given: ∫sin-1x2dx

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A: y=x23-x2+32sin-1x3 Differentiating with respect to x, we get…

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A: Given:

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A: Given that y=sinx and y=cosx. We have to find the area of region bounded by the y=sinx and y=cosx…

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A:

Q: Find all points (if any) of horizontal and vertical tangency to the curve                x = cos2 θ,…

A: Given: x=cos2θy=cosθ To Find: Find all points (if any) of horizontal and vertical tangency to the…

Q: dyda Siny

A:

Q: Find the image of the point under a dilation centered at (0, 0) with the given scale factor. (5, 9)…

A: The solution of the problem is given in the next step.