(a) Find the time path of capital K(t) given the following rates of net investment flow functions (i) I(t) = 12t¹/⁹ (ii) I(t) = 3t¹/4 (iii) I(t) = 7t¹/3 (iv) For each of (i) to K(0) = 10 K(0) = 3 K(0) = 5 (iii), find the amount of capital formation over the time interval [1,3]

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(a) Find the time path of capital K(t) given the following rates of net
investment flow functions
(i)
I(t) = 12t¹/⁹
(ii)
I(t) = 3t¹/4
(iii) I(t) = 7t¹/3
(iv)
K(0) = 10
K(0) = 3
K(0) = 5
(iii), find the amount of capital formation over
For each of (i) to
the time interval [1,3]
Transcribed Image Text:(a) Find the time path of capital K(t) given the following rates of net investment flow functions (i) I(t) = 12t¹/⁹ (ii) I(t) = 3t¹/4 (iii) I(t) = 7t¹/3 (iv) K(0) = 10 K(0) = 3 K(0) = 5 (iii), find the amount of capital formation over For each of (i) to the time interval [1,3]
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