Solve the problem.Let D be the smaller cap cut from a solid ball of radius 8 units by a plane 7 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
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Determine whether the given function satisfies a Laplace equation.f(x, y, z) = cos (-5x) sin (-2y) e(
z)
A. No B. Yes
Determine the equation of the given line, as well as the slope of the line. If the slope is undefined, state this.
A. x = -4, m: undefined B. y = x - 4, m = 0 C. y = -4, m: undefined D. y = x - 8, m = 1
Solve the problem.The 100th term in the arithmetic sequence 15, 11, 7, 3, . . . is
A. -340. B. -336. C. -385. D. -381. E. none of these
Find the simple interest and the final value of the deposit that earns the given rate for the indicated length of time. Round your answers to the nearest cent.$84,320 earning 7% for 2.5 years
A. $14,756.00; $99,076.00 B. $7766.32; $92,086.32 C. $14,165.76; $98,485.76 D. $20,658.40; $104,978.40