Find out the height of the cliff
At t = 0, a stone is dropped from the top pf a cliff above a lake. Another stone is thrown downward 1.6s later from the same point with an initial speed of 32m/s. Both stones hit the water at the same instant. Find the height of the cliff.
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Find the cdf and pdf for the product of U and V. (The first will require computaion of a double integral over an appropriate (u,v) region.)
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Air is compressed in a car engine from 22 °C and 95 kPa in a reversible and adiabatic manner. If the compression ratio, V1/V2 of this piston-cylinder device is 8, determine the final temperature of the air.
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Derive De Moivre's result log(Q/M)=-(2t^2)/n or equivalently log(M/Q)=(2t^2)/n.(Hint: Divide the arguments of the first two logarithm terms in the expression in the text by m. Then simplify and replace in the remaining logarithm terms by the first
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