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motorboat travels 192 miles in 3 hours going upstream. it travels 306 miles going downstream in the same amount of time. what is the rate of the boat in still water and what is the rate of the current?
Let i be an integer with 1
A rectangular sheet of tin plate is 20 cm by 16 cm and is to be made into an open box with a base having an area of 140 cm2 , by cutting out equal squares from the four corners and then bending the edges upwards. Find the size of the squares cut o..
Let n be a natural number, and let f: R-->R be the function f(x) :=x^n. Show that f is differentiable on R and f '(x)=nx^n-1 for all x belonging to R
Calculating Projected Net Income. A proposed new investment has projected sales of $825,000. Variable costs are 55 percent of sales, and fixed costs are $187,150; depreciation is $91,000. Prepare a pro forma income statement assuming a tax rate of..
Two friends Dave and Pete often play squash and tennis together. Over the years, they have found that Dave wins 3 out of every 5 rounds of squash and 1 out of every 4 tennis matches
Convergence and Divergence: find an infinite series of the given absolute function by using the fact give also estimate natural log of values by substitution
stone is thrown straight up from the edge of a roof, 675 feet above the ground, at a speed of 10 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 6 seconds later?
I need to know how to find first 3 derivatives for f(x) = cos(sq) 2X. I am able to find derivatives for similar problems, but the 2X portion is throwing me off.
To finance the $15,000 cost of their kitchen remodeling, the Chews will make equal payments at the end of each month for 36 months. They will pay interest at the rate of 7.2% compounded monthly. Find the amount of each payment.
To minimize the cost of the pipeline, how far from the refinery should P be located? (Round your answer to two decimal places.)
Find a polar equation of the conic with focus at the pole and the given eccentricity and directrix.
A car rental agency rents 180 cars per day at a rate of 28 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income and what is the maximum income?
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