Prove for all integers n, k, and r with n ? k ? r that
Mathematics
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Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Vertices at (0, 8) and (0, -8); asymptotes y = 2x and y = - 2x
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Mathematics
Solve the problem.Let D be the region that is bounded below by the cone 
and above by the sphere 
Set up the triple integral for the volume of D in cylindrical coordinates.
A. 
B. 
C. 
D. 
Mathematics
A right circular cylinder of altitude h and with a base of radius r has lateral area L where 
.
Answer the following statement true (T) or false (F)
Mathematics
Determine whether the nonincreasing sequence converges or diverges.an = 
A. Diverges B. Converges
Mathematics