Question: 6. Suppose we have a quantity x that varies with time t, which we write x(t) to indicate that it can be different at different

 6. Suppose we have a quantity x that varies with timet, which we write x(t) to indicate that it can be differentat different times. Define dx (t)/dt to stand for that quantity's rateof change with time. (Don't blame me: blame Newton and Liebnitz.) Ifx(t) follows the equation: dx(t)/dt = -(0.06]x + 0.36, at what level

of x will it be constant-i.e., not changing over time? Call thatequilibrium value x*. If x(t) > x*, is x growing or shrinkingover time? If x(t)image text in transcribedimage text in transcribed

6. Suppose we have a quantity x that varies with time t, which we write x(t) to indicate that it can be different at different times. Define dx (t)/dt to stand for that quantity's rate of change with time. (Don't blame me: blame Newton and Liebnitz.) If x(t) follows the equation: dx(t)/dt = -(0.06]x + 0.36, at what level of x will it be constant-i.e., not changing over time? Call that equilibrium value x*. If x(t) > x*, is x growing or shrinking over time? If x(t)

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