Determine whether Rolle's Theorem applies to the following functions on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem.f(x) = 10x2 + 100x; [-10, 0]
A. x = 5
B. x = -5
C. x = -10
D. x = -250
Answer: B
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Simplify by factoring. Assume no radicands were formed by raising negative numbers to even powers.
A. x
B. xyz
C. xy
D. xy
Solve the problem.A vertical right circular cylindrical tank measures high and
in diameter. It is full of oil weighing
How much work does it take to pump the oil to a level
above the top of the tank? Give your answer to the nearest ft ? lb.
A. 862,556 ft ? lb B. 729,855 ft ? lb C. 1,725,111 ft ? lb D. 718,796 ft ? lb
Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) =
A.
B.
C.
D.
Solve triangle ABC. Round side lengths and angle measures to the nearest tenth when necessary.b = 2, c = 3, A = 80°
A. a ? 2.3, B ? 63.4°, C ? 36.6° B. a ? 3.3, B ? 63.4°, C ? 36.6° C. a ? 4.3, B ? 36.6°, C ? 63.4° D. a ? 3.3, B ? 36.6°, C ? 63.4°