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A stone is thrown straight down from the edge of a roof, 925 ft above the ground, at a speed of 7 ft/sec. A. Given that the acceleration due to gravity is -32 ft/sec^2, how high is the stone 5 seconds later? B. At what time does the stone hit the ground? C. What is the velocity of the stone when it hits the ground?
Find the Fourier Transform of f(x) = e^((-x^2)/(2a^2). note: complete the square in the x term in the exponent and make the change of variable; y=x+(*a^2)*i*b.
Find the inverse of the matrix.
A system consists of four subassemblies connected in series. The individuak subassembly reliabilities are as follows:
Analyze the stability of the fixed points of linear differential systems. Provide several explicit examples, with graphical illustrations
Mathematics-Supply Greater Than Demand- Transportation Model, A company which owns hauling trucks moves materials between three sources (depots) and three destination projects.
Use Mad to compare simple moving & weighted moving average
If {Phi_0, Phi_1, ..., Phi_n,...} are orthogonal polynomials in which are normalised to be monic (i.e. have leading coefficient equal to 1) show that ||Phi_k||
Assume that 10% of the population is left-handed. If three people are chosen at random, what is the probability that at least one will be left-handed?
Let A be the area of a circle with radius r that is increasing in size with respect to time. If the rate of change of the area is 12 cm/s, find the rate of change of the radius when the radius is 18cm.
Where x is the number of years since the material was put into the vault. If 200 pounds of the material are initially put into the vault, how many pounds will be left after 90 years?
Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx. is f integrable on [0,1]?
The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (1,2,2) is 120 degrees.
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