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ID: 2840881 • Letter: Q

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Explanation / Answer

10)

y = x^2 e^(-7x)

a)

differentiate to get the slope of the line.

slope = dy/dx = 2xe^(-7x) - 7x^2e^(-7x)

=>

slope = (2x - 7x^2) * e^(-7x)


b)

x = 0.084


c)

maximum value = 0.066