Find an equation of the tangent line to the curve at the point (1,1/e). y=x^4*e^-x
my attempt:
y'=(4x^3*e^-*e^-x)
y-y1=m(x-x1)
y-(1/e)=(4x^3)(e^-)(e^--1)
y=4x^4 e^-x - x^5 e^-x - 4x^3 e^-x + x^4 e^-x +1/e

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e. g. 98.7654). x f(x) 0 1 2 3

The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.

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