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A farmer builds a fence with two gates, each 4 meters wide, around a square field x meters on a side. The cost of the fence is $20 per meter plus $300 per gate. Give an expression for the project cost in terms of x.
Why does math exist? For what reason do we need it?
Write an inequality, using x to represent your gross monthly salary and y to represent your monthly car payment, which could be used to calculate the range of payments that will work in your budget.
1. The functions f(x)=2-x and g(x) = -2xf(x)=2-x and g(x) = -2x have the same graph. 2. The base of an exponential function can be any real number.
A closed rectangular container with a square base is to have a surface area of 150inches squared. Find the maximum possible volume of such a box.
the intensity of light from a light bulb, measure in watts (w), varies inversely as the square of the distance (d) from the light bulb. Suppose I is45 w/m(squared) when the distance is 6m.
Let R(t) be the field of rational functions. Answer the following (with proofs): If we identify the rational numbers with a subset of R(t), what function corresponds to a given rational number r?
The speed of a particle moving in a circle of radius 0.1m is v =1.0t where t is time in second. Find the resultant acceleration of the particle at t = 5s.
Compute the number of different spanning trees of Kn for n = 1, 2, 3, 4, 5, 6. Conjecture a formula for the number of such spanning trees whenever n is a positive integer.
According to an article in the Maclean's magazine, "Cable, satellite and wireless companies may be charging illegal late fees. Companies may calculate a compounded late-fee rate of two percent a month. However, because they charge even if a customer ..
A cylinder is to be constructed so that it will have a minimum surface area while holding 128 pi cubic feet of gasoline. Determine the necessary dimmensions. Be sure to verify your answers indeed guarantee that a minimization has been accomplished..
Determine value of money after time 't' by compound interest method - How much money will be in the account in 10 years?
Suppose A & B are Hermitian matrices and AB=BA, show that A and B are simultaneously diagonalizable, ie, there exists an unitary matrix C so that both C*AC adn C*BC are diagonal.
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