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An airplane takes off on a runway that is 2 kilometers long. The plane starts off with an initial velocity of 5 meters/sec and moves with acceleration a(t)=a0+.1*t^0.75 (where a0 is a constant) for 45 seconds and then lifts off the end of the runway. How fast was the plane traveling (in meters/sec) on lift off? Model and solve using differential equations. Show all differential equations and all work.
Sketch the situation. What is the net force charge on q3? What is the unit vector pointing in the direction of the net force?
Please sketch a graph of a function f have the indicated characteristics. Please explain.
Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the probabilities of the following results.
A computer store has 50 printers of which 25 are laser printers and 25 are ink jet printers. If a group of 10 printers is chosen at random from the store, find the mean and variance of the number of ink jet printers.
A plane flies at a average speed of 300 miles per hour. The expression 300t gives the distance traveled by the plane in t hours. find the distance traveled by the plane in 8 hours.
What is the probability that it is orange? What is the probability that it is orange, given it is NOT red?
optimus prime is flying straight up at 44 ms when he accidentally drops his mega-ray blaster and it falls 65 m to the
shown below is summarized data for a company for the year end december 31.sales of merchandise for
Where t is the number of minutes since the faucet was turned on. To the nearest gallon, how much water flows out of the faucet during the first two minutes the faucet is turned on?
An apple orchard has an average yield of 32 bushels of apples/tree if tree density is 24 trees/acre. For each unit increase in tree density, the yield decreases by 4 bushels/tree. How many trees should be planted in order to maximize the yield?
Calculate the result from the given survey of voters - Evaluate the standard deviation from the range (i.e., use the range rule of thumb).
Follow the method of Example 3 to describe the solutions of the following system in parametric vector form. Also, give a geometric description of the solution set and compare it to that in Exercise 5.
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