Find the mass of the solid S bounded by the paraboloid z = 6x² + 6y² and the plane z = 5 if Shas constant density 3.

What will be an ideal response?


19.63

Mathematics

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Solve the problem.The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 3 cm on a side is 54 g, find the weight of the liquid in a cubical container 4 cm on a side.

A. 128 g B. 8 g C. 52 g D. 64 g

Mathematics

Provide an appropriate response.For what value of c does the quadratic function f(x) = x2 - 6x + c have exactly one x-intercept?

A. 24
B. -9
C.
D. 9

Mathematics

Find the center and radius of the circle whose graph is shown. Write the standard form of the equation of the circle.

A. r = 4; (h, k) = (2, 4); (x + 2)2 + (y + 4)2 = 16 B. r = 4; (h, k) = (2, 4); (x - 2)2 + (y - 4)2 = 16 C. r = 2; (h, k) = (2, 4); (x - 2)2 + (y - 4)2 = 4 D. r = 2; (h, k) = (2, 4); (x + 2)2 + (y + 4)2 = 4

Mathematics

Factor the expression completely. If the polynomial is prime, state this as your answer.9x2 + 12x + 4

A. (3x + 2)(3x - 2) B. (3x - 3)2 C. (3x + 2)2 D. (3x - 2)2

Mathematics