3. Write down the name of the conic given by the polar curve r = 6/(2-sine). Determine the vertices and the center in the polar coordinate and the length of the major axis. Hence, sketch it.

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A: area between curve

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A: Topic:- application of integration

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A: Solution is given below:

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A: To find out the tangent line approximation.

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A: Given that      f(x) = x3

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A: Find the derivative of 4x3                 Let        y= 4x3

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Q: e3x-6-2, [2x - 5], √x²-9, if x ≤ 2 if 2 3

A: answer is in next step

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Q: 15. Sketch y = f(x). Properties are: Max at P(2, 2) Mins at Q(4, -1), R(-1,2). Oblique asymptote y =…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs x = y³ and x = y…

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A: We have to find equation of tangent