Verify that the integral of the beta density from -∞0 to co equals 1 for (a) a = 2 and ß = 4; (b) a = 3 and ß= 3.
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- Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be described by the differential equation dPdR=4DRP2 where D is the density of the plants in an area. Source: Ecology. Given the initial condition P(0)=1, find a formula for P in term of R.Use the total differential to approximate each quantity. Then use a calculator to approximate the quantity, and give the absolute value of the differences in the two results to 4decimal places. (1.922+2.12)13