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A farmer Wants to fence a rectangular yard using 260 ft of fencing. What dimensions should he use for the greatest area?
Let n be a natural number, and let f: R-->R be the function f(x) :=x^n. Show that f is differentiable on R and f '(x)=nx^n-1 for all x belonging to R
Given an algebraic series with the following properties:
Let G be a group. x and y are elements of G. Prove that: The inverse of xy is y^-1x^-1. The identity element, e, is unique
The theory of the broken chord asserts that if AB and BC make up a broken chord in a circle, where BC > AB and if M is the midpoint of arc ABC, the foot F of the perpendicular from M on BC is the midpoint of the broken chord ABC.
A car goes from station A to station B with a speed of 80 km/h and returns from B to A with a speed of 120 km/h. Find its average speed during the whole journey.
A box with a square base and open top must have a volume of 500000 cm3. Find the dimensions of the box that minimize the amount of material used.
Who is the Hermite interpolation technique named after? Describe at least three of his contributions to the field of mathematics. Use at least one source in addition to your textbook with an appropriate citation and reference. (Do not use Wikipedi..
Let R be a set with 2 laws of composition satisfying all ring axioms except the comutative law for addition
If the compant plans to increase monthly advertising expenditures at the rate of 1.5 thousand dollars per month, how fast will sales rise?
What percent of new expansion should be financed by equity?
What is the expected value of the sweepstakes for any individual? (Round to the nearest cent)
Two armies are advancing on two cities. The first army has 4 regiments and the second army has 3 regiments. At each city, the army that send more regiments to the city captures both the city and the opposing army regiment.
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