Solve the problem.If v = 4i - 4j + k, find a vector perpendicular to both v and i + k.
A. 3i + 2j - 3k
B. -4i - 3j + 4k
C. 2i + 3j - 2k
D. i - j + 3k
Answer: B
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Solve the problem.A spring on a horizontal surface can be stretched and held 0.5 m from its equilibrium position with a force of 50 N. How much work is done in compressing the spring 2.5 m from its equilibrium position?
A. 625 J B. 125 J C. 312.5 J D. 62.5 J
Determine if the graph of the function opens upward or downward and whether it has a maximum or a minimum point.f(x) = 3 - 4x2
A. Downward, minimum B. Upward, minimum C. Downward, maximum D. Upward, maximum
Use the Trapezoidal Rule with n = 4 steps to estimate the integral.
A. 1
B. 2
C. 4
D. 
Solve the problem.Instruments on a satellite measure the amount of power generated by the satellite's power supply. The time t and the power P can be modeled by the function P = 50e-t/300, where t is in days and P is in watts. How much power will be available after 378 days? Round to the nearest hundredth.
Fill in the blank(s) with the appropriate word(s).