Find the exact slope of the tangent line to the 4 cos(t) parametric curve at the point ly = 7 sin(t) where t = 3 Give an exact answer, do not use a decimal. Preview

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A: The length of any curve for x1≤x≤x2 is given by,l(Length)  = ∫x1x21+dydx2  dx   Also use ∫secx dx =…

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A: Recall: Equation of line: y-y1=mx-x1 ; where m=dydx or  y2-y1x2-x1 Length of the curve…

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Q: I = 4 cos(t) Find the exact slope of the tangent line to the parametric curve y = 3 sin(t) at the…

A: Here we use the chain rule of differentiation.

Q: Find the slope of the tangent line to polar curve 5 r = 5 cos 0 at the point Vē' 4 2, Preview

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Q: Given the parametric equation of a curve: x(θ) = sin θ − 1 and y(θ) = θ + cosθ a. Find dy/dx b. Find…

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: Our guidelines for multiple questions answer only first question

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A: The derivative dydx defines the slope of the tangent drawn to the curve.

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A: Given: x=4cosθ, y=4sinθ; θ∈0,π for finding arc lengthL, first we convert given equation in…