Solve the problem.A reflecting telescope has a mirror shaped like a paraboloid of revolution. If the distance of the vertex to the focus is 25 feet and the distance across the top of the mirror is 62 inches, how deep is the mirror in the center?
A. 
in.
B. 
in.
C. 
in.
D. 
in.
Answer: C
Mathematics
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Find all the first order partial derivatives for the following function.f(x, y) = x3 - 10x2y - 5xy3
A. 
= x2 - 10xy - 5y3; 
= -10x2 - 5xy2
B. 
= 3x2 - 20xy - 5y3; 
= -10x2 - 15xy2
C. 
= 3x2 + 2xy - 5y3; 
= -10x2 + 3xy2
D. 
= 3x2; 
= -10x2 - 15xy2
Mathematics
Solve.
= 0
A. 0, 5 B. -5, 5 C. -5, 0 D. 0
Mathematics
Write the mixed number as an improper fraction.-19
A. - 
B. - 30
C. - 209
D. - 
Mathematics
Use the graph of the given function to find any relative maxima and relative minima.f(x) = x3 - 12x + 2
A. minimum: (2, -14); maximum: (-2, 18) B. no maximum or minimum C. maximum: (2, -14); minimum: (-2, 18) D. maximum: (-2, 18) and (0, 0); minimum: (2, -14)
Mathematics