Solve the problem.A searchlight is shaped like a paraboloid of revolution. If the light source is located 5 feet from the base along the axis of symmetry and the opening is 14 feet across, how deep should the searchlight be?
A. 12.3 ft
B. 2.5 ft
C. 9.8 ft
D. 0.9 ft
Answer: B
Mathematics
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Use the nth-Term Test for divergence to show that the series is divergent, or state that the test is inconclusive.
A. diverges
B. converges; ln 4
C. inconclusive
D. converges; ln 
Mathematics
Find all the first order partial derivatives for the following function.f(x, y) = (6x4y5 + 5)2
A. 
= 60x4y4(6x4y5 + 5); 
= 48x3y5(6x4y5 + 5)
B. 
= 2(6x4y5 + 5); 
= 2(6x4y5 + 5)
C. 
= 48x3y5(6x4y5 + 5); 
= 60x4y4(6x4y5 + 5)
D. 
= 24x3y5; 
= 30x4y4
Mathematics
Determine if the type of relation is linear, nonlinear, or none.
A. none B. linear C. nonlinear
Mathematics
Find the limit or state that it does not exist.
(-1)
A. 0 B. 1 C. -1 D. Does not exist
Mathematics