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A classic problem from Calculus I is to take a wire of length L and cut it into pieces. One piece is bent into a circle and the remainder is bent into a square.
(a) Determine how the wire should be cut so the maximum area is enclosed by the two shapes. In particular, how much of the wire is used for the circle and how much is used for the square?
(b) How much area is enclosed in the square?
(c) How much area is enclosed in the circle?
(d) What is the maximum enclosed area?
To pay for their child's college education, the parents invested $10,000, part in a certificate of deposit paying 8.5% annual interest, the rate in a mutual fund paying 7% annual interest. The annual income from the mutual fund. How much money was..
find the slope of an object either where you live, where you work, or outside somewhere. Examples might include a ladder positioned against a wall or against a house, a banister on a set of stairs, a slide in a park, etc.
Trigonometric function to estimate the exact value.
If a ball is thrown straight up into the air with an initial velocity of 45 ft/s, it height in feet after t second is given by y=45t-16t2. Find the average velocity for the time period begining when t=2 and lasting.
an airline has 20 planes is short on money and doesnt want to spend any more than necessary to keep the planes safely
A rectangular trench is to be dug which is to be 180 ft long, 90 ft wide and 8 ft deep. A large dump truck can carry 20 cubic yards in a load. How many truck loads will be required to remove the dirt from this trench?
A metal storage tank with volume V is to be constructed in the shape of a right circular cylinder surrounded by a hemisphere. What dimensions will require the least amount of metal?
A public storage company charges new customers an initial fee of $10.50. Each month of storage costs $13.50.
a number has 3 digits. it is an even square number less than 500.the product of its digits is evenly divisible by 15. what is the number?
The two steps in preparing chocolate candy bars are molding and packaging. Personal fatigue and delay allowances are set at 15%. The molding machine operator is rated at 110% and the packer is rated at 80%.
the contingency table below shows the results of a random sample 200 state representatives that was conducted to see
break-even analysis a look at profit and loss as an entrepreneur there are going to be many decisions that you need to
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