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If a body of a mass m starting from rest is given a constant acceleration of a,then after time t,its velocity is v=at and its kinetic energy is E=1/2mv^2. If a mass of 0.5 tonne starting from rest is given a constant acceleration of 2.0 m/s^2, find the power being expended (that is ,the rate of energy supply) after 5 seconds.
Let f:R->R be uniformly continuous on R (the reals) and let f_n(x)=f(x+1/n) for x in the reals. Show that (f_n) converges uniformly on the reals to f.
Combining the information above, find the probability that the xth opportunity is a close call (that it occurs immediately before the nth shock).
The distance, D, in miles, that you can drive on $1 worth of gas as a function of the cost, g, in dollars, of a gallon of gas can be modeled by the power function: D(g) = 22.02g^-1.02
At square deals floor covering a popular floor covering sells for $9.00 per square foot . Write a function that gives the price ( P) of a square floo covering that has edge length of (x) feet.
Characterize completely the random variable that is Bin(49, 0.3).
Find two numbers whose product is 192 and the sum of the first plus three times the second is a minimum. (there should be a primary and a secondary equation)
Determine Probability Distribution, In a certain carnival game a player pays $1 and then tosses a fair coin until either a "head" occurs or he has tossed the coin four times.
A car moving at a speed of v mph achieves 24 + 0.1v mpg (miles per gallon) for v between 20 and 60 mph. Your speed as a function of time, t, in hours, is given by v=50(t/t+1). Write an integral that will give the total number of gallons of gas con..
Simple Probability, Sample Spaces, Events, A couple has three children, assume the likelihood of a boy is the same as a girl:
Recall that S_N (f)(x)= sum (n=-N to N) c_n e^{inx}= 1/2pi integral (from -pi to pi) f(x-t)sin ((N+1/2)t)/sin(t/2) dt
Solve a numerical method - Euler methods and Compare with the exact solution
The difference exists between the mean number
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