Find the equation for the plane tangent to the parametrized surface S at the point P.S is the cylinder r(?, z) = 16 cos2 ?i + 8 sin 2?j + zk; P is the point corresponding to .

Fill in the blank(s) with the appropriate word(s).


y = 8

Mathematics

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Factor completely, or state that the polynomial is prime.x3 + 2x2 + x + 2

A. (x2 + 2)(x + 1) B. (2x2 + 2)(x + 1) C. (x2 + 1)(x + 2) D. (x2 + 1)(2x + 2)

Mathematics

Use the graph to complete the identity. = ? 

A. cos x B. sec x C. sin x D. csc x

Mathematics

Solve the problem.A certain area of forest is populated by two species of animals, which scientists refer to as A and B for simplicity. The forest supplies two kinds of food, referred to as F1 and F2. For one year, species A requires 1.45 units of F1 and 1 units of F2. Species B requires 2.4 units of F1 and 1.9 units of F2. The forest can normally supply at most 859 units of F1 and 491 units of F2 per year. What is the maximum total number of these animals that the forest can support?

A. 931 animals B. 200 animals C. 491 animals D. 338 animals

Mathematics

Find the product.

A.
B. - 
C. - 
D.

Mathematics