Solve the problem.Let D be the smaller cap cut from a solid ball of radius 10 units by a plane 9 units from the center of the sphere. Set up the triple integral for the volume of D in spherical coordinates.

A.
B.
C.
D.


Answer: C

Mathematics

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The area of a triangle can be derived from the area of a kite in which of the following ways??

A.

?Half of the width of a kite × 1/2 × the length of the kite = the area of the triangle.


B.

?Twice the area of one of the congruent triangles equals the area of the kite.


C.

?They have the same formula , and thus must be the same shape.


D.

?a and b are true.


E.

?None are true.


Mathematics

Find the product.(y - 8)(y2 + 8y - 5)

A. y3 - 16y2 - 69y + 40 B. y3 + 59y - 40 C. y3 - 69y + 40 D. y3 + 16y2 + 69y - 40

Mathematics

Identify the constant term, leading term, and leading coefficient of the polynomial.-a + 9a3 - 4a7 + 4a2

A. -4 ;  4a2 ;  4 B. -4 ; -a ; -1 C. 0 ; -4a7 ; -4 D. 0 ;  9a3 ;  9

Mathematics

Round the decimal to the given place value.82.9733, nearest hundredth

A. 82.9733 B. 82.87 C. 83.07 D. 82.97

Mathematics