Provide an appropriate response.The position of an object in free fall near the surface of the plane where the acceleration due to gravity has a constant magnitude of g (length-units)/sec2 is given by the equation: s = -
gt2 + v0t + s0, where s is the height above the earth, v0 is the initial velocity, and s0 is the initial height. Give the initial value problem for this situation. Solve it to check its validity. Remember the positive direction is the upward direction.
A. 
= g , s '(0) = v0, s(0) = s0
B. 
= -g
C. 
= -gt , s(0) = s0
D. 
= -g , s '(0) = v0, s(0) = s0
Answer: D
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Solve the problem.Find an equation of the form 
that describes the outline of a satellite dish such that the bottom of the dish passes through (0, 0), the diameter of the dish is 32 inches, and the depth of the dish is 7 inches
A. y = 
x2
B. y = 
x2
C. y = 
x2
D. y = 
x2
Simplify the expression. Assume that all variables are positive and write your answer in radical notation.
? 
A. 
B. 
C. 
D. 
Divide and simplify.
÷ 
A. 
B. 
C. 
D. (z + 3)(z - 8)
Solve.A rectangle that is x feet wide is inscribed in a circle of radius 32 feet. Express the area of the rectangle as a function of x. Graph the function and from the graph determine the value of x, to the nearest tenth of a foot, which will maximize the area of the rectangle.
A. 45.7 feet B. 44.9 feet C. 44.5 feet D. 45.3 feet