Solve the problem.Let D be the smaller cap cut from a solid ball of radius 6 units by a plane 3 units from the center of the sphere. Set up the triple integral for the volume of D in rectangular coordinates.

A.
B.
C.
D.


Answer: B

Mathematics

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Find parametric equations for the line described below.The line through the point P(7, 2, -1) parallel to the vector 

A. x = -4t - 7, y = 5t - 2, z = -4t + 1 B. x = 4t + 7, y = -5t + 2, z = -4t - 1 C. x = 4t - 7, y = -5t - 2, z = -4t + 1 D. x = -4t+ 7, y = -5t + 2, z = 4t - 1

Mathematics

Solve the system using substitution.

A. (7, 0) B. (0, -7) C. (1, -8) D. empty set; inconsistent system

Mathematics

Refer to the figure in which O is the center of the circle, ray PA is a tangent, m?BOC = 80°, PE = 10 ft, PD = 12 ft, PB = 19 ft, ER = 4 ft, ER = 4 ft, and BR = 5 ft.



If AQ = 12 ft , find AR.
(a) 5 ft (b) 2 ft (c) 0.5 ft (d) 7 ft

Mathematics

Solve for the specified variable.A = ; solve for b

A. b = 
B. b = 
C. b = 
D. b = 

Mathematics