Find the equation for the plane tangent to the parametrized surface S at the point P.S is the sphere r(?, ?) = 3 cos ? sin ?i + 3 sin ? sin ?j + 3 cos ?k; P is the point corresponding to .

What will be an ideal response?


Answers will vary. One possibility is x + y + 2z = 6

Mathematics

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Solve the problem.Without doing any calculating find the derivative.(53x14 - 65x13 + 27x - 15)

A. 742 B. 0 C. 1 D. 53

Mathematics

Multiply the binomials.

A. x2 - x + 
B. x2 - x - 
C. x2 - x + 
D. x2  + 

Mathematics

Evaluate the integral.

A. - 
B. - 27
C. - 
D. - 9

Mathematics

Find an equation for the sphere with the given center and radius.Center (0, -5, -2), radius = 3

A. x2 + y2 + z2 + 10y + 4z = -20 B. x2 + y2 + z2 + 10y - 4z = -20 C. x2 + y2 + 3z2 + 10y + 4z = -20 D. x2 + y2 + 3z2 + 10y - 4z = -20

Mathematics