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Let a, b, c 2 Z+.
(a) Prove that if a|b, then ac|bc for all c.
(b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.
(c) Prove that gcd(a, a + b) = gcd(a, b).
degree of a diffrential equation
Find the normalized differential equation which has {x, xex} as its fundamental set
sin (cot -1 {cos (tan -1 x)}) tan -1 x = A => tan A =x sec A = √(1+x 2 ) ==> cos A = 1/√(1+x 2 ) so A = cos -1 (1/√(1+x 2 )) sin (cot -1 {cos (tan -1 x)}) = s
1. Solve the given differential equation, subject to the initial conditions: . x2y''-3xy'+4y = 0 . y(1) = 5, y'(1) = 3 2. Find two linearly independent power series soluti
What is the slowest a boat can travel across a river if the river is flowing with a velocity field of X^2?
We here move to one of the major applications of differential equations both into this class and in general. Modeling is the process of writing a differential equation to explain a
More Volume Problems : Under this section we are decide to take a look at several more volume problems. Though, the problems we see now will not be solids of revolution while we
kikos toy company boasts that their remotes have the greatest range . their claim is that you can access their signal up to 1320 feet from their device . a competing company, yozzo
Formulas
compute the monthly payment on a 30 year level payment mortagagesasuming an annual mortgages principal of $400000
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