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A piece of wire is 20 cm long. It is to be cut into two pieces (not necessarily of the same length). One piece is ti be bent into a square and the other into a circle. How should this be done so that the resulting sum of the areas of the two objects is a minimum? A maximum?
Find the slope and the equation of the tangent line to the graph of the function at the given value of x.
What is the probability that the mean annual snowfall during 40 randomly picked years will be between 105 inches and 112 inches?
a motorboat travels 128 km in 2 hours going upstream.it travels 208kn going downstream in the same amount of time what is the rate of the boat still in the water? what is the rate of the current?
The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. If the ship uses 200 barrels of oil in traveling 500 miles at 28 miles per hour, determine how many barrels of oil are used..
If you are 22 years old, deposit $7,825 each year into a traditional IRA for 48 years at 11% interest compounded annually, and retire at age 70, how much money will be in the account upon retirement?
If you have 248 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
Write a differential equation for the total quantity of dead leaves (per square centimeter) at time t.
Each of the numbers 0 through 24 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.
The sales representative here tells you they also have two floor plans available, but they only have 42 homes still for sale. Write an equation that illustrates the situation. Use x and y to denote floor plan one and floor plan two respectively.
Use the graph to find critical points. Label these points on your graph. Apply the extreme value theorem to find the absolute extrema of f(x) on the closed interval , [-1.5, 1.5]
Probability of rolling the given sum on two dice. You are rolling a pair of dice, one red and one green. What is the probability of the following out comes
You walk 105 yards due south, then 127 yards due west, and then 40 yards due north. How far are you from your staring point?
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