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A jet takes 5 hours to travel a distance of 4600 mi against the wind. The return trip takes 4 hours with the wind. What is the rate of the jet in still air and what is the rate of the wind?
A woman w = 6 ft tall is standing near a street lamp that is s = 14 ft tall. Find a function that models the length L of her shadow in terms of her distance d from the base of the lamp.
Vanilla Box Company is going to make open-topped boxes out of 11 × 11-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way? (Round your answer to the neare..
a ski lift that runs to the top of a hill has a rise of 1/9. The horizonal distance from the bottom of the lift to the center of the mountain is 7000 feet. How hight is the hill?
Calculate the surface area of an unopened steel can that has a height of 5cm and a radius of 7cm.
Suppose that f: C->C and that f is analytic at a point z0 element of C. Prove that there exists a real number r>0 such that, the nth derivative of z0=[n!/(2 pi r^n)]x[int(e^(-niy)f(z0+re^(iy)) from 0 to 2pi with respect to y for all n element of N..
Develop a point estimate of the mean value of y when x1 = 180 and x2 = 310 (to 3 decimals).
Find the center of mass of the lamina bounded by y = x^2 and y=2x and the density is ?(x,y) = xy.
Find the steady state response to a simple harmonice input of period 2pi/omega and amplitude alpha. Give the amplitude and phase for the component x_3(t) only.
Important information about Mathematics - Probability, A sample contains 4 white balls, 2 green balls and 5 purple balls.
b. Calculate the number of days with a demand for 3 days. Calculate the probability of two bottles per day
Probability of rolling the given sum on two dice. You are rolling a pair of dice, one red and one green. What is the probability of the following out comes
The height of one square pyramid is 36 m. A similar pyramid has a height of 18 m. The volume of the larger pyramid is 1600 m3. Determine each of the following.
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