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suppose that a projectile is fired straight upward from the surface of the earth with initial velocity v0 and assume its height y(t) above the surface satisfies the initial value problem: y''=-GM/(y+R)^2-b*e^(-ay), y(0)=0, y'(0)=v0. Compute the maximum altitude the projectile reaches and the time (from launch) for the projectile to reach the maximum altitude. In the above, G,M,R,v0,a,b are all given constants.
The distance between the building and the pole is 189 ft, and the pole casts a shadow that is 4.25 ft long. How tall is the building?
Felipe drove miles using gallons of gas. At this rate, how many gallons of gas would he need to drive miles?
150 members indicated that they plan to attend the next Summer Olympic Games, and 90 indicated that they plan to attend the next Winter Olympic Games. How many members of the club plan to attend.
957 randomly selected light bulbs were tested in a laboratory, 491 lasted more than 500 hours. Find a point estimate of true proportion of all light bulbs that last more than 500 hours.
if a spool has a dimater of 7 centimeters, how many revolutions of the spool would you need to wind up a kite string that is 30 meters long? Please show work.
Find the probability of 14 or more widowed people in a random sample of 290 bowling league members?
A simple question on the Mean of a Binomial distribution, 80% of the community favored building a police substation in their neighborhood.
How high does it go before returning to the ground?
Calculate the result from the given survey of voters - Evaluate the standard deviation from the range (i.e., use the range rule of thumb).
Probability and combination based questions. A golf ball is selected at random from a golf bag. If the golf bag contains 9 Titleist's, 8 Maxflis, and 3 Top Flites, find the probability of each event.
An irrigation canal has the shape of a trapezoid. Let x = the bottom width, y = the water depth, and theta = the angle of inclination of the sides from the horizontal.
When graphing a linear inequality, how do you select the area (which side of the line) that is being represented (and has to be shaded) by the inequality?
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