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Under a certain condition the Pressure p and volume v of gas satisfy the equation p^5v^7 =1000. Suppose that at some moment the volume of the gas is 4liters; the pressure is 200units, and the pressure at the rate 5units per second. Find the rate at which the volume is changing.
A manufacture has been selling 1950 television sets a week at $480 each. A market survey indicates that for each $10 rebate offered to a buyer, the number of sets sold will increase by 100 per week.
Find the velocity of the top of the ladder at time t=2.
A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell 3862 gallons on a day that they charge $1.40 per gallon. Find a linear function that expresses gallons sold as a functio..
To order meat to be grinded at the meat factory costs 1/10 of the meat as the fee. If you need 2 pounds of meat, how much meat will the meat factory have to grind?
If 5 J of work are needed to stretch a spring from 10 cm to 11 cm and 7 J are needed to stretch it from 11 cm to 12 cm, what is the natural length L of the spring?
Arjun's school is selling tickets to a fall musical.
If its length is 2 feet longer then twice its width, what are the dimensions of the playing field?
Probability: Binomial approximation to normal distribution. In a large university, 30% of the incoming first-year students elect to enroll in a personal finance course offered by the university
To make an open-top rectangular box, a 3 inch by 5 inch rectangular sheet of cardboard has congruent squares cut from each corner. What are the dimensions of the maximum volume, and what is the volume of that box?
at the instant when the water is 5 m deep find the rate at which the water is leaking out if the water level is falling at the rate of 0.1 m/hr.
today merkel amp sons deposited three checks for 510 690 and 420 respectively. these checks will be added to the firms
Should You Believe a Statistical Study - Is there bias in the sample used in the study and are there any problems in defining or measuring the variables of interest in the study?
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