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factory worker wages, according to data released by city chamber of commerce, the weekly wages of factory workers are normally distributed according to the probability density function f(x)= (1/50√2π)e^((-1/2)((x-500)/50)^2) find the probability that a wo...

find the taylor series f(x)1/2(e^x + e^-x) ;x=0

find the derivative of the function f(x)= tan (10x^2)

A police cruiser hunting for a suspect pulls over and stops at a point 10 ft from a straight wall. The flasher on top of the cruiser revolves at a constant rate of 75 /second, and the light beam casts a spot of light as it strikes the wall. How fast is th...

The cross-section of a drain is a trapezoid. The sides and the bottom of the trapezoid each have a length of 10 feet. Determine the angle θ such that the drain will have maximal cross-sectional area.

according to data released by the chamber of commerce of a certain city, the weekly wages of female factory workers are normally distributed with a mean of 575 and a standard deviation of 50. Find the probability that a female factory worker selected at r...

to find the possible relative extrema of the function f(x,y) subject to the constraint g(x,y)=8, the lagrangian function based on the lagrange multiplier λ is given by....

a university alumni group wishes to provide an annual scholarship in the amount of 1500 beginning next year. if the scholarship fund will earn an interest rate of 8%/year compounded continuously, find the amount of the endowment the alumni are required to...

find the derivative of the function f(x) = x^2 cos (7x)

if 8 moles of fructose are fermented and 320g of ethanol is obtained,what is the yield of the fermentation