Find a simplified difference quotient for the function.f(x) = x2 - 3x
A. 2x + h - 3
B. 2xh + h - 3
C. 2x - 3h
D. 2(x + h) - 3
Answer: A
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Find the product.(-6)(-3)(5)
A. 90 B. -90 C. 80 D. 190
Find the area of the specified region.Inside the lemniscate r2 = 6 sin 2? and outside the circle r =
A. 3 - ? + 6
B. 2?
C. 3 - ?
D. (2? + 3
)
Solve the problem.Hooke's law is applicable to idealized (linear) springs that are not stretched or compressed too far. Consider a nonlinear spring whose restoring force is given by F(x) = 17x - 0.2x3, for |x| ? 8. How much work is done in compressing the spring from its equilibrium position (x = 0) to x = -0.5? Round to two decimal places when appropriate.
A. 4.24 J B. 339.2 J C. 678.4 J D. 2.12 J
Use a calculator to find the root or power rounded to six decimal places.
A. 28.764062 B. 28.089144 C. 28.086144 D. 28.094144