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A 12 inch piece of wire is to be cut into two pieces. One piece is to be used to form a square and the other to form a circle. How should the wire be cut if the sum of the areas is to be maximized?
Describe a work task, a hobby, or another activity that you regularly do, and sequentially list the various actions you take in order to complete this activity. Consider the complexity of your list and the amount of steps required to complete the ..
The average daily price of share of company was Rs 130.The highest and lowest price during the week were Rs 200 and Rs 100. resp.,Find the average daily price when highest and lowest price are not included.
It costs a $15 flat fee to rent a chain saw, plus $3 a day starting with the first day. Let x represent the number of days rented, so y represents the charge to the user (in dollars).
Why does math exist? For what reason do we need it?
You have 80m of fence to enclose a rectangular area for a snow sculpture competition. one side of the area is bound by the school, so the fence is required for only three sides of the rectangle.
describe the solutions of the following system in parametric vector form, and provide a geometric comparison with the solution set in Exercise 6.
For the series n=1Σ∞1, find a formula for the partial sums SN, the limits limn→∞ an and limN→∞ SN, and determine whether the series converges or diverges.
Suppose that at a certain instant the volume is 100 cm2, the pressure is 120 , and the pressure is increasing at a rate of 40 kPa/min. At what rate is the volume decreasing at this instant?
The 4 runners on a relay team all want to run the same distance in a race. The coach says that the first runner will go 1/4 of the distance. Then the second runner will go 1/3 of the remaining distance
break-even analysis a look at profit and loss as an entrepreneur there are going to be many decisions that you need to
A window is constructed from a rectangular sheet of glass of height h with a semicircular piece of glass at each end of radius r.
Find the angle between the diagonal of a cube of side length 19 and the diagonal of one of its faces, so that the two diagonals have a common vertex. The angle should be measured in radians.
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