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Solve the given problem by integration.
The acceleration of parachutist is given by
, where k is a constant depending on the resisting force due to air friction. Find v as a function of the time t.
A computer sale is happening
Using the transformation of coordinates x = (3/8)u - (1/8)v and y =-(1/8)u + (3/8)v, express the integral ∫∫D(24x + 8y )dx dy as an iterated integral in the variables u and v. Do not evaluate the integral.
After a sale, the price of a stereo was marked up $35 to a regular price of $310. What was the sale price?
a) what will the unit price? b) what will be the profit at this rate of production
The surface area of this pyramid is 189 The area of the square base is 49. What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
Billy goes cycling. His bike has wheels of diameter 70 cm. He has invented a counter for his bike, which counts the number of revolutions the wheels make. One day the counter shows 280 revolutions. How far has billy cycled? Show your answer to the..
A poll states that 30% of the workers in a large company have new desks. If 6 workers are selected at random, what is the probability that at least one worker has a new desk?
Lifetime of a washing machine - The lifetime of a certain manufacturer's washing machine is normally distributed with mean 4 years. Only 15% of all these washing machines last at least 5 years
Calculate the expected value of having built a large plant. Calculate the expected value of having built the small plant
Express the limit limn→∞ i=1Σn xi ln(1 + xi2)?x, where ?x = 6-2/n and xi = 2 + i?x, as a definite integral on the interval [2, 6]
at the age of 30 you decide to start saving money. at first you can only afford to deposit 200 per month. however at
The base of a solid is a circle of radius ‘ a ‘, and its verticle cross section are equilateral triangles. Find the radius of the circle if the volume of the solid is 20 cubic meters.
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