Evaluate the double integral.

A. 117
B. 468
C. 39
D. 156


Answer: B

Mathematics

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Find the equation for the plane tangent to the parametrized surface S at the point P.S is the cone r(r, ?) = r cos ?i + r sin ?j + 2rk; P = .

What will be an ideal response?

Mathematics

Determine the truth value for the simple statement. Then use these truth values to determine the truth value of the compound statement. Use the chart or graph when provided.In Region X, people are spending more on leisure activities.  Annual per capita spending in dollars:Per capita spending on vacations was higher in Region X in 2010 than it was in 2000 or per capita spending on dining out was less in in Region X in 2010 than it was in 2000.

A. True B. False

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Find an equation of a polynomial function of least degree having the given complex zeros, intercepts, and graph.f(x) has complex zero 5i

A. f(x) = (x2 - 25)
B. f(x) = (x2 + 25)
C. f(x) = (x2 + 25)
D. f(x) = (x2 + 5)

Mathematics

Find the center, foci, and vertices of the ellipse.81x2 + y2 - 648x + 1,215 = 0

A.  + (y - 9)2 = 1
center: (9, 0); foci: (9, ), (9, -4); vertices:(9, 4), 
(9, -4)
B.  + (y - 4)2 = 1
center: (4, 0); foci: (4, 4), (4, -4); vertices:(4, 9), (4, -9)
C. (x - 4)2 +  = 1
center: (4, 0); foci: (4, 4), (4, -4); vertices:(4, 9), (4, -9)
D. (x - 9)2 +  = 1
center: (9, 0); foci: (9, ), (9, -); vertices:(9, 4), (9, -4)

Mathematics