Solve the system of linear equations.
x - y =
x -
y = 
A. (4, -6)
B. (1, -4)
C. (3, -1)
D. No solution
Answer: B
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Solve the problem.dy/dt = ky + f(t) is a population model where y is the population at time t and f(t) is some function to describe the net effect on the population. Assume k = 0.02 and when t = 0. Solve the differential equation of y when f(t) = -18t.
A. y = -900t + 45,000 - 35,000e-0.02t B. y = 900t + 45,000 - 35,000e0.02t C. y = -900t - 45,000 - 35,000e0.02t D. y = 900t + 45,000 - 35,000e-0.02t
Solve the initial value problem.Differential Equation: = (t4 + 4t2)i + 4tjInitial Condition: r(0) = -5i + 2j
A. r(t) = i + (t2 + 2)j
B. r(t) = i + (2t2 + 2)j
C. r(t) = i + 2t2j
D. r(t) = i + (2t2 - 5)j
Simplify.37 + (-73) - 18 - (-61) + (-10)
A. 17 B. -125 C. -3 D. -105
Write the partial fraction decomposition of the rational expression.
A. +
B. +
C. +
D. +