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a trough is 12 ft long, 2ft high and 2ft wide at the top and has isosceles triangular ends. if water is put in at the rate of 1ft^3 per minuter, how fast is the depth increasing when it is 1.5 ft deep?
Two weather tracking stations are on the equator 146 miles apart. A weather balloon is located on a bearing of N 35°E from the western station and on a bearing of N 23°E from the eastern station. How far is the balloon from the western station?
Prove that any two universal (initial) objects in a category C are equivalent. Prove that any two couniversal (terminal) objects in a category C are equivalent.
Calculate the critical value
A representative is to be selected from each of 3 departments in a small college. There are 7 people in the first department, 5 in the second department, and 4 in the third department.
Fit a second order Newton's interpolating polynomial to estimate log 10 using the data x=8, 9, and 11. Complete the true percentage relative error.
Each of the numbers 0 through 30 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even.
Identify one or more control procedures (either general or application controls, or both) that would guard against each of the following errors or problems.
The expected gains & losses under each economic type of conditions are shown in the following table.
Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Show that if n is odd then the set of all n-cycles consists of two conjugacy classes of equal size in An. Let G be a transitive permutation group on the finite set A with |A|>1. Show that there is some g in G such that g(a) is not equal to a for al..
Find the dimensions of the box with maximum possible volume that can be sent through the service, assuming that the width and height of the box are equal.
Probability of the Workers at Motor Works 64% of the workers at Motor Works are female, while 66% of the workers at City Bank are female.
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