Use the given feasible region determined by the constraint inequalities to find the maximum possible value of the objective function.f = 5x + 6y subject to the constraints 
A. 36
B. 44
C. 40
D. 46
Answer: D
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Solve the initial value problem.Differential Equation: 
= i + (7t3 - 5t)j + 
kInitial Condition: r(0) = 2j + (ln 6)k
A. r(t) = ti + 
j + ln(t + 6)k
B. r(t) = i + 
j + (ln 6)k
C. r(t) = ti + 
j + (ln t)k
D. r(t) = ti + 
j + (ln 6)k
Increasing the down payment on a mortgage reduces both the size of the monthly payments and the total interest paid. Calculate the reduction in the monthly payment by increasing the down payment by the amount specified, and the amount saved on interest over the life of the loan. Assume the mortgage is for 20 years and use the table to find the monthly payments. 
A. $151.80, $36,432.00 B. $164.68, $39,523.20 C. $139.38, $33,451.20 D. $123.51, $29,642.40
Write an equation for the piecewise function.
A. f(x) = 
B. f(x) = 
C. f(x) = 
D. f(x) = (x - 3)2 - 5
Give the equation of the horizontal asymptote, if any, of the function.g(x) = 
A. y = 3 B. y = 0 C. y = 1 D. no horizontal asymptotes