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A rocket of 8kg, including 4kg of fuel takes 35 seconds for the fuel to burn uniformly with no residue and produces a constant thrust of 140 newtons. It takes 35 seconds for the fuel to get spent off leaving gravity and air friction (resistance) to be the only forces acting on the rocket. If the air resistance is 0.02v2. Write initial value problems to determine the velocity of the rocket, with t being a function of time for (a) 0 ≤ t ≤ 35 (b) 35 ≤ t ≤ T, where T is the time the rocket reaches its maximum altitude, and for (c) T ≤ t ≤ Ti, where Ti is the time the rocket hits the ground.
find the probability that among six companies surveyed at random, the number that give employees 4 weeks of vacation after 15 years of employment is anywhere from 2 to 5.
Find the integral ∫-62 f(x) dx by interpreting the integral in terms of sums and/or differences of areas of elementary figures.
Find the airline's cost for 10,000 passengers (remember, that would NOT be 10,000) to travel from New York to Atlanta. Use the equation editor to show all work. Write a sentence to explain your answer.
farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be so as to minim..
construct a truth table for given relation.construct a truth table for each of the following a a nu b lambda a nu
The lifetime of an automatic transmission produced by the BW Company is normally distributed with a mean of 100,000 miles and a standard deviation of 20,000 miles.
define an equation to represent the baker's income based on the number of loaves and muffins he makes. How many of each should he make for maximum income?
b. Calculate the number of days with a demand for 3 days. Calculate the probability of two bottles per day
the well circulated air mixture is vented from the room at the same rate, find a formula for the percentage of carbon monoxide in the room at time t?
Now, in how many days will a total of 250 students in the residence hall get infected? Use a constant of propottionality accurate up to four decimal places.
The sales representative informs you that there are 65 houses for sale with two floor plans still available. Use x to represent floor plan one and y to represent floor plan two. Write an equation that illustrates the situation.
A swimming pool is circular with a 10-ft diameter. The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whol..
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