A system of nonlinear equations is given. Sketch the graph of the equation of the system and then determine the number of real solutions to the system. Do not solve the system.x2 + y2 = 25y - x2 = 0
A. Two
B. Two
C. Two
D. One
Answer: A
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Find the derivative of y with respect to the appropriate variable.y = (1 - 5t) coth-1 
A. 
- 5 tanh-1 
B. 
- 5 coth-1 
C. - 
t
D. (1 - 5t) coth-1 
Graph the linear inequality.x + y ? 2
A. 
B. 
C. 
D. 
Solve the problem.A water tank is formed by revolving the curve y = 3x4 about the y-axis. Find the volume of water in the tank as a function of the water depth, y.
A. V(y) = 
y9
B. V(y) = 
y3/2
C. V(y) = 
y1/2
D. V(y) = 
y3/2
A delivery truck must deliver packages to 6 different store locations (A, B, C, D, E, and F). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.
Using both the cheapest-link and the repetitive nearest-neighbor algorithm, the length of the shortest trip we can find (without using brute force) is:
A. 35 miles. B. 44 miles. C. 58 miles. D. 27 miles. E. none of these