Suppose that a firm begins at time t=0 with a capital stock of K(0)=$500.000.and is planning...

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Suppose that a firm begins at time t=0 with a capital stock of K(0)=$500.000.and is planning to invest in new capital at the rate I(t)=600t2.use definite integral to find the level of capital 5 years from now and the level of capital 10 years from now,receptively (Hint:the rate of investment is the derivative of the time path of capital stock K(i.e.,dk/dt=1)) Suppose that a firm begins at time t=0 with a capital stock of K(0)=$500.000.and is planning to invest in new capital at the rate I(t)=600t2.use definite integral to find the level of capital 5 years from now and the level of capital 10 years from now,receptively (Hint:the rate of investment is the derivative of the time path of capital stock K(i.e.,dk/dt=1))