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Suppose that the position of a particle as a function of time is given by the formula s(t) = 4t3 - t4
(a) Find the velocity and acceleration as functions of time.
(b) Find the times at which the velocity is zero and the times at which the acceleration is zero.
(c) Find the position at the time when the velocity is maximum.
(d) Find the position when the acceleration is maximum.
If a rock is thrown upward on the planet Mars with a velocity of 17 m/s, its height (in meters) after t seconds is given by H = 17t - 1.86t2. (Round all numbers to two decimal places.)
A poster is to have an area of 150 in2 with 1 inch margins at the bottom and sides and a 5 inch margin at the top. What dimensions will give the largest printed area?
Calculate the mean and standard deviation (by hand) for the MINITAB created binomial distribution with the probability of a success being ½. Either show work or explain how your answer was calculated. Mean = np, Standard Deviation =
Your weekly paycheck is 20 percent less than your coworker's. Your two paychecks total 885. Find the amount of each paycheck.
Prove, using the definition of a limit, that limn→∞ n n2 + 1 = 0. 2. Prove, using the definition of a limit, that limn→∞ n 2 + 1 n2 + 3 = 1. 3. Let c be a fixed positive number and an = 1 1 + nc where c > 0. Use the definition of a limit to prove tha..
Don Williams uses his small motorboat to go 3 miles upstream to his favorite fishing spot. Against the current, the trip takes 1/2
For each of the following, prove or disprove the limit exists: limx→3(2x - 1) and limx→3 x2
Find the probability of winning, Find the expected number of tosses per game.
Solve the problem of Critical Path and PERT. A PERT project has 45 activities, 19 of which are on the critical path. The estimated time for the critical path is 120 days. The sum of all activity variances is 64, while the sum of variances along the..
Prepare a research paper on two independent variables
A recipe that makes 7 servings calls for cups of juice. How many cups of juice are there per serving?
A baseball diamond is a square with side 90ft. A batter hits the ball and runs towards first base with a speed of 29 ft/s.
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