Assuming that the equations define x and y implicitly as differentiable functions 
find the slope of the curve 
at the given value of t.x cos t + x = 2t, y = t sin t + t, t = 
A. 2 + ?
B. 
C. 
D. 2
Answer: B
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If a baseball pitcher has pitched 31 2/3 innings and has allowed 15 runs, find his ERA. [Remember the ERA (Earned Run Average) equals the number of earned runs allowed in 9 innings.]
What will be an ideal response?
Solve by the substitution method.
= 59x = 10 + 9y
A. 
B. 
C. {(x, y)|
= 5}
D. ?
Answer the question, concerning the use of substitution in integration.Suppose that we are using substitution to find an antiderivative. If, after making the substitution, we find that there is still an x-term left in the integrand, what should we do?
A. Use an alternative method, because substitution will never give the antiderivative. B. Go back to the equation relating x and u, solve for x, and substitute in the integrand. C. This would never happen if we made the correct substitution. D. None of the above
Find the missing length(s) in the right triangle. If necessary, round to the nearest tenth.
A. a = 16 cm; c = 32 cm B. a = 16 cm; c = 768 cm C. a = 24 cm; c = 768 cm D. a = 32 cm; c = 16 cm