The intensity I of light at a depth of x meters below the surface of a lake satisfies the differential equation dI/dx = (−1.4) I. (a) At what depth is the intensity half the intensity I0 at the surface (where x = 0)? (b) What is the intensity at a depth of 10 m (as a fraction of I0)? (c) At what depth will the intensity be 1% of that at the surface?
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