Find f'(x) at the given value of x.f(x) = -5x2 + 6x + 4; Find f'(-3).
A. -24
B. 36
C. 12
D. 40
Answer: B
Mathematics
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Solve the problem.A heat engine is a device that converts thermal energy into other forms. The thermal efficiency, e, of a heat engine is defined by 
where Qh is the heat absorbed in one cycle and Qc, the heat released into a reservoir in one cycle, is a constant. Find 
.
A. 
= 
B. 
= 
C. 
= 
D. 
= 
Mathematics
At what points is the given function continuous?f(x, y, z) = 
A. All (x, y, z) such that x ? 0 and y + z ? 0 B. All (x, y, z) in the first octant C. All (x, y, z) such that x - y - z ? 0 D. All (x, y, z)
Mathematics
Evaluate the permutation.
A. 495 B. 19,958,400 C. 3 D. 11,880
Mathematics
Round to the indicated place value.Round 1.6368 to the nearest tenth.
A. 1.5 B. 1.64 C. 1.7 D. 1.6
Mathematics