Find the equation for the plane tangent to the parametrized surface S at the point P.S is the cylinder r(?, z) = 5 cos ?i + 5 sin ?j + zk ; P is the point corresponding to 

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


y = 5

Mathematics

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Give the appropriate form of the partial fraction decomposition.

A.  +  +  
B.  +  +  
C.  +  
D.  +  

Mathematics

Find the center and radius of the circle with the given equation. (x + 5)2 + (y - 10)2 = 144

A. Center (-5, 10), r = 144 B. Center (10, -5), r = 144 C. Center (-5, 10), r = 12 D. Center (10, -5), r = 12

Mathematics

Find the values of x for which the expression is a real number.

A.
B.
C.
D.

Mathematics

Solve the problem.A collection of dimes is arranged in a triangular array with 13 coins in the base row, 12 in the next, 11 in the next, and so on with 1 dime in the last row. Find the value of the collection.

A. $4.55 B. $0.91 C. $18.20 D. $9.10

Mathematics