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A triangle with base 2 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest whole number.)
We use the Fourier expansions of certain poynomial functions to compute the sum of some useful numerical series. The formulas are quite general and give, at the end, the Fourier expansion of every polynomial function.
For a student club fund-raiser, the number of $2.00 raffle tickets printed was three times the number of $5.00 raffle tickets. If all of the tickets are sold, receipts from the $5.00 tickets will be $50.00 less than those from the $2.00 tickets.
A company's costs, in millions of dollars, are given by the equation, C = x2 - 3x - 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items?
Jack and Jill ran a 100 meter race. Jill ran the race in 10 seconds and won by 10 meters; Jack had run only 90 meters when Jill crossed the finish line.
Pasta comes with tomato sauce and can be ordered with some , all, or none of these ingredients in the sauce: {onions, garlic, carrots, broccoli,shrimp, mushrooms, zucchini, green pepper}.
A truck travels at a constant speed of 30.0m/s for 0.8 h. Find the total distance traveled in km.
For every adult ticket sold, the school can donate $5.00 to charity. A total of 512 tickets are sold 0.5 of them are adult tickets. How much money can the school donate?
Find the equation of the tangent line
Computing probability, mean and standard deviation for the given information and evaluate the mean number of sales expected.
Similarly, one additional unit will be occupied for each 1 dollar decrease in rent. What rent should the manager charge to maximize revenue?
Solve the following linear system using Gaussian elimination. Solve the following linear system using Gaussian elimination.
To estimate the proportion p of passengers who had purchased tickets for more than $400 over a year's time, an airline official obtained a random sample of 75. The number of those purchasing tickets for more than $400 was 45.
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