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A car is traveling on a straight road with velocity at time . For seconds, the car's acceleration , in , is the piecewise linear function defined by the graph above.
Suppose that f_n(0) converges to some number, denoted f(0), and also suppose that the sequence (f'_n) converges uniformly on (0,1) to some function g: (0,1) -> R. Prove that the sequence (f_n) converges uniformly. What is its limit?
On each play the probability of winning is 0.432 and of losing 0.568. If the gambler begins with $2, what is the expected number of times that he will play before quitting? (Round your answer to 3 decimal places.)
An apache helicopter of enemy is flying along the path given by y= x2 +7. Find the nearest distance from where a soldier placed at (3,7) can shoot down the helicopter.
Explain Stock probability, We have been informed that the stock has gone up 20%. What is the probability of a rise or fall in the GDP?
Suppose demand is expressed as QD = 300 - 50P. If we want to make this equation consistent with the typical supply and demand diagram, this equation must be stated as:
A box with no top is to be built by taking a 6'' - by - 10'' sheet of cardboard and cutting x - in. squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box.
the theoritical probability of undesirable side effects resultiing from taking grebex is 2 in 13. if 260 people take grebex , how many will encounter undesireable side effects.
The strength of a rectangular beam is proportional to the product of its width and the square of its depth. Find the dimensions of the strongest beam that can be cut from a circular cylindrical log of radius r.
Estimate the true proportion of all Americans who are in favor of gun control legislation using a 95% confidence interval. INTERPRET the answer.
Cubic Splines: Natural and Clamped, Calculate the natural cubic spline f(x) for the following data and then determine 1(1.5). (Use 3 significant digits.)
An equilateral triangle with sides of length 10 is inscribed in a circle. Find the distance from the center of the circle to any side of the triangle.
A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P=-25x^2+300x. What number of clerks will maximize the profit, and what is the maximum p..
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