Provide an appropriate response.Find the coordinates of all points (x, y) on the graph of the equation x2y - y3 = 8 where the tangent line is horizontal.

A. (-2, -2), (2, 2)
B. (0, 0)
C. (0, -2)
D. (-2, 0), (0, -2), (2, 0)

Answer: C

Mathematics

Find by using the Chain Rule. Express your final answer in w = xy2; x = t + s, y = st2

A. 4s2t4 + 5s3t3 B. 5s2t4 + 4s3t3 C. 5s2t3 + 4s3t4 D. 5s3t4 + 4s2t3

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Mathematics

Set up an integral for the length of the curve.y4 + 4y = 4x - 1, 1 ? y ? 2

A.
B.
C.
D.

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Mathematics

Write the expression in terms of sines and/or cosines, and then simplify.sec2 x(1 + cos2 x)

A.
B. sin x
C.
D.

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Mathematics

Simplify.(5x-4)-3

A.
B.
C.
D. 125x¹²

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Mathematics