For the functions f(x) and g(x), determine the domain of (f ? g)(x) (the product of f and g).f(x) =
, g(x) = 9x2 - 5
A. {x ? x is a real number and x ? 5}
B. {x ? x is a real number}
C. {x ? x is a real number and x ? 0}
D. {x ? x is a real number and x ? -9}
Answer: C
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For the given polar equation, write an equivalent rectangular equation.r = 10 sin ?
A. = 10x
B. x2 + y2 = 10x
C. x2 + y2 = 10y
D. = 10y
Perform the indicated operations in the proper order.-18 ÷ 6 - 7 ÷ 7
A. 2 B. 3 C. -3 D. -4
Give the equation of the oblique asymptote, if any, of the function.f(x) =
A. x = y - 4 B. y = x - 12 C. y = x - 4 D. no oblique asymptotes
A tank has the shape of an inverted right circular cone with a base radius of 4 m and a height of 9 m. If the tank is filled to a height of 1 m, find the work required (to the nearest joule) to empty the tank by pumping the water over the top of the tank. (The mass of water is 1000 and the force of gravity is 9.8
.)
What will be an ideal response?