Determine whether the given ordered pair is a solution of the given equation.x2 + y2 - 6x + 4y = -11; (2, -3)
A. No
B. Yes
Answer: B
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Solve the problem.Find a field G = P(x, y)i + Q(x, y)j in the xy-plane with the property that at any point (a, b) ? (0, 0), G is a vector of magnitude 
tangent to the circle x2 + y2 = a2 + b2 and pointing in the clockwise direction.
A. xi - yj B. xi + yj C. -yi + xj D. yi - xj
Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = csc(cot x)
A. y = csc u; u = cot x; 
= csc(cot x) cot(cot x) csc2 x
B. y = cot u; u = csc x; 
= csc2(csc x) csc x cot x
C. y = csc u; u = cot x; 
= csc3 x cot x
D. y = csc u; u = cot x; 
= - csc(cot x) cot(cot x)
David and Nick were roommates in a dormitory and after graduation need to divide 5 vinyl records. They decided to use the adjusted winner method, and the table shows the points they assigned to each record. Which division is fair?
Solve the problem.To train for a race, Will begins by jogging 13 minutes one day per week. He increases his jogging time by 5 minutes each week. Write the general term of this arithmetic sequence, and find how many whole weeks it takes for him to reach a jogging time of one hour.
A. an = 5n + 8; 10 weeks B. an = 5n + 13; 10 weeks C. an = 5n + 13; 11 weeks D. an = 5n + 8; 11 weeks