4. We can express capital stock as a function of time: K(t). a. Express K(t) as the integral of the rate of net investment flow at time t, 1(t). Provide an economic interpretation of your result. b. Suppose I(t) = 3t0.5 and assume K(0) = c. Find the time path of capital.

Would the following events usually lead to capital deepening? Why or why not? A weak economy in which businesses become reluctant to make long-term investments in physical capital. A rise in international trade. A trend in which many more adults participate in continuing education courses through their employers and at colleges and universities.