Solve the problem.A spinner has regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3?
A. 
B. 
C. 
D. 17
Answer: C
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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 - 2, [0, 8], midpoint
A. 
B. 
C. 
D. 
Use reduction formulas to evaluate the integral.
A. - 
cot3 4x - 
cot 4x + x + C
B. - 
cot2 4x + 
cot 4x - x + C
C. - 
cot3 4x + 
cot 4x + x + C
D. - 
cot3 4x + 
cot 4x + C
Determine whether the origin is an attractor, repellor, or a saddle point of the dynamical system xk+1 = Axk, where A is given below. Determine the direction of greatest attraction or repulsion, appropriately.A = 
A. Repellor; direction of greatest repulsion: along the line through 0 and 
B. Attractor; direction of greatest repulsion: along the line through 0 and 
C. Saddle point; direction of greatest attraction: along the line through 0 and 
, direction of greatest repulsion: along the line through 0 and 
D. Attractor; direction of greatest attraction: along the line through 0 and 
Solve the system of linear equations by the method of elimination. Find (x,y) and check your solution algebraically.
?
?
?
A. ?(14, 13) B. (-14, -13)? C. (-14, 14) D. (-14, 13) E. (14, -13)