Solve the problem.A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 26 ft and the vertical clearance must be 10 ft at a point 12 ft from the center. Find an equation for the ellipse.
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Answer: C
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Find the moment or center of mass of the wire, as indicated.Find the moment about the x-axis of a wire of constant density that lies along the curve y = 2
from 
to 
.
A. 21
B. 
C. 14
D. 
Use the distributive property to multiply. Then, if possible, simplify the resulting expression.3(7 + m)
A. 21m B. 21 + m C. 21 + 7m D. 21 + 3m
Solve the problem.The profit function for a product is given by P(x) = -0.7x3 + 115.5x2 - 3710x - 84,000 dollars, where x is the number of units produced and sold. Determine the levels of production and sale that give break-even.
A. 80 or 100 units B. 120 units C. 100 units D. 90 or 120 units
Find the functions f and g so that F(x) = (f o g) (x).F(x) = 
A. f(x) = 1/x, g(x) = x2 - 7 B. f(x) = 1/x2, g(x) = - 1/7 C. f(x) = 1/x2, g(x) = x - 7 D. f(x) = 1/7, g(x) = x2 - 7