Find the derivative: f x = e x 2 + 2x - 3

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H OMEWORK 5 S OLUTIONS Math 1910, Fall 2019 7.1.19 Find the derivative: f ( x ) = e x 2 + 2x - 3 .
7.1.29 Find the derivative: f ( x ) = e x + 1 + x 2e x - 1 .
7.1.83 Wind engineers have found that wind speed v (in m/s) at a given location follows a Rayleigh distri- bution of the type W ( v ) = 1 32 ve - v 2 / 64 This means that the probability that v lies between a and b is equal to the shaded area in Figure 8. (a) Show that the probability that v [ 0 , b ] is 1 - e - b 2 / 64 (b) Calculate the probability that v [ 0 , 5 ] .
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