A police cruiser hunting for a suspect pulls over and stops at a point a = 10 ft from a straight wall. The flasher on top of the cruiser revolves at a constant rate of 75°/second, and the light beam casts a spot of light as it strikes the wall. How fast is the spot of light moving along the wall at a point 50 ft from the point on the wall closest to the cruiser?
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Round the answer to the nearest tenth, if necessary.
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__________ ft/sec
Fill in the blank(s) with the appropriate word(s).
340.3
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Use the definition f'(x) = 
to find the derivative at x.f(x) = 3x4 - 9x3 + 4
A. 3x3 - 9x2 + 4 B. 12x3 - 27x2 + 4 C. 3x3 - 9x2 D. 12x3 - 27x2
Perform the indicated operations and simplify.0.12(-7) - 0.85
A. -0.92 B. -3.9375 C. -1.55 D. -0.0785
Solve the problem.An insurance company says that at age 50 one must choose to take 
at age 60, $30,000 at 70, or 
at 80 ($0 death benefit). The probability of living from 50 to 60 is 0.85, from 50 to 70, 
, and from 50 to 80, 0.46. Find the expected value at each age.
A. 60 - $8500 70 - $13,800 80 - $23,000 B. 60 - $8500 70 - $18,300 80 - $23,000 C. 60 - $6100 70 - $18,300 80 - $23,000 D. 60 - $8500 70 - $25,500 80 - $42,500
Find the slope-intercept equation for the tangent line to the graph of f at the given point.f(x) = 
at 
A. y = - 
x + 
B. y = 
x + 
C. y = 13x - 16
D. y = -39x - 80