In which quadrant must the terminal side of ? lie if sin ? and cot ? are to have the different sign?
?
A. IV
B. II and III
C. I and IV
D. I and II
E. III and IV
Answer: B
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The autonomous differential equation represents a model for population growth. Use phase line analysis to sketch solution curves for P(t), selecting different starting values P(0). Which equilibria are stable, and which are unstable?
= 1 - 6P
What will be an ideal response?
Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum 
, using the indicated point in the kth subinterval for ck.f(x) = x2 - 1, [0, 8], right-hand endpoint
A. 
B. 
C. 
D. 
Evaluate the integral.
A. e7/6
B. ln 
C. 
ln 
D. 
ln 
Complete the square for the binomial. Then factor the resulting perfect square trinomial.x2 - 11x
A. x2 - 11x + 121 = (x - 11)2
B. x2 - 11x + 
= 
2
C. x2 - 11x + 
= 
2
D. x2 - 11x - 
= 
2