Find the derivative.
A. 8x4
B. 12x5/2
C. 2x4 - 2
D. 6x2
Answer: D
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (t2 - 5)i + (2t - 5)j + 8k
A. T = 
i - 
j; N = - 
i - 
j
B. T = 
i + 
j; N = 
i + 
j
C. T = 
i + 
j; N = 
i - 
j
D. T = 
i + 
j; N = 
i - 
j
Solve the problem.Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 809. Find a linear equation which fits this data, and which relates score to review time. Use this equation to predict an average score for persons taking a 50-hour review course. Round your answer to the tenths place.
A. 718.7 B. 707.2 C. 728.5 D. 714.5
Perform the indicated operation. Give answer in standard form.
A. 8 + 8i B. 7 + 7i C. 7 + 16i D. 7 + 8i
Solve the problem.The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. If a 20-kg object stretches a spring 30 cm, how far will a 6-kg weight stretch the spring?
A. 4 cm B. 56 cm C. 1.5 cm D. 9 cm