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calculate area of a square a square picture is mounted in a frame 1 cm wide. the area of the picture is 2/3 of the total area. find the length of a side of the picture.
Find the first five terms in the Taylor series about x = 0 for f(x). Find the interval of convergence for the series in part (a).
Calculating Projected Net Income. A proposed new investment has projected sales of $825,000. Variable costs are 55 percent of sales, and fixed costs are $187,150; depreciation is $91,000. Prepare a pro forma income statement assuming a tax rate of..
Use the quadratic formula to find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
The base of an aquarium with volume V = 220 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
During the worst periods of hyperinflation in a certain country the price of food increased at a rate of 25% per month. State whether this increase was linear or exponential
Find the derivative of y with respect to x. y = sec ^ -1 (x^2 + 1), x > 0
Describe what cyclic groups are and show that they are abelian. Describe their structure and the structure of their subgroups and factor groups up to isomorphism.
Use excel solver to find solution for LP problem A couple has agreed to attend a "Casino Night" as part of a fundraiser for the local hospital. They do not like to gamble because they believe that gambling is generally a losing proposition.
You drop a coin down a wishing well of unknown depth h and hear a splash 4 seconds later. You know that the distance the coin covers t seconds after being dropped is 1/2 gt2, where g = 9.8 m/s2 is the acceleration due to gravity, and that the spee..
Four number are drawn at random from a box of ten numbers 0, 1,....,9. Find the probability that the largest number drawn is a six.
Erika's cell-phone bill for july was $82. she sent a check for $50 and then made $37 worth of calls in August. How much did she then owe on her cell-phone bill?
The same experiment as in part (a) above is done with the 7 letters from CHICAGO. Find the probability that the result spells CHICAGO. Find probability that the result spells NEW YORK
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