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1) Apply (-4?2) to compute the amount of work done in lifting a 100 lb weight a height of 10 ft assuming that this work is done against the constant force of gravity.
2) A cylindrical tank of radius 5 ft and height 10 ft is resting on the ground with its axis vertical. Use (answer from question 1) to compute the amount of work done in filling this tank with water pumped from ground level. (use p = 62.4 lb/ft^3 for the weight density of water).
3) Show by direct computation that the centriod of the triangle with vertices (0,0), (r,0), and (0,h)is the point(r/3,h/3). Verify that this point lies on the line from the vertex (0,0) to the midpoint of the opposite side of the triangle and two-thirds of the way from the vertex to that midpoint.
A poster is to have an area of 240 in2 with 2 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area?
A two-person game is played in which a fair coin is tossed until either the sequence HT (heads, tails) or the sequence TT (tails, tails) appears.
justin had $33 dollars before spending n dollars on jeans. How much money remains?
An investor recently purchased a corporate bond which yields 9%. The investor is in the 36% combined federal and state tax bracket. What is the bond's after-tax yield?
The recycling company announce that it will lower the price,starting immediately ,by $0,15 per hundred pounds per day .The scouts can make only one trip to the recycling center.Find the best time for trip.What total income will be recived?
The average grade on a midterm exam in a certain math class was an 88. Is this a parameter or a statistic?
Let G be k-critical graph with respect to vertex-arboricity (k>=3). Prove that for each vertex v of G, the graph G-v is not (k-1)-critical with respect to vertex-arboricity.
compute the work required to compress a spring 3 more cm when it is already compressed 2 cm, assuming that the spring constant is k + 150 kg/s^2
An initial population of 655 quail increases at an annual rate of 18%. Write an exponential function to model the quail population.
Attendance at the Fireman's Ball has been declining. Each year, the number attending is 2/3 of the previous year's attendance and the cost of food is 3/4 that of the previous year.
At what rate is the angle between the string and the horizontal changing whe 200ft of string has been let out, i.e., the distance from the kite to the person flying the kite is 200 feet? Is the size of the angle increasing or decreasing? (you may ..
What is a complex fraction? What are the two ways to simplify a complex fraction? Show an example. What is the least common denominator? How do we use the least common denominator when adding rational expressions?
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