Suppose a , b , c ∈ Z . If a2 + b2 = c2 ,...

Suppose a , b , c ∈ Z . If a² + b² = c² , then a or b is even.

a) Proof by Contraposition

b) Proof by Contradiction

Expert Solution

venereology answered 9 months ago

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Gases A2 and B2 react according to the equation: A2 + B2 → AxBy . If...

Gases A2 and B2 react according to the equation: A2 + B2 → AxBy . If equimolar ( not necessarily stoichiometrically equivalent) quantities are placed in a reaction vessel with a massless, frictionless piston and allowed to react to completion. The density of the gas mixture after reaction is 1.5X the original density. Find the empirical formula? Is there only one possibility? Explain.

2- Gases A2 and B2 react according to the equation: A2 + B2 → AxBy ....

2- Gases A2 and B2 react according to the equation: A2 + B2 → AxBy . If equimolar ( not necessarily stoichiometrically equivalent) quantities are placed in a reaction vessel with a massless, frictionless piston and allowed to react to completion. The density of the gas mixture after reaction is 1.5X the original density. Find the empirical formula? Is there only one possibility? Explain.

derive the Pythagorean theorem (a2+b2=c2) which is one of the most important theorems in mathematics

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| | a1 | a2 | |----|------|------| | b1 | 0.37 | 0.16 | | b2...

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The equation of an ellipse is x2/a2+y2/b2=1, where a and b are positive constants, a ³ b. The foci of this ellipse are located at (c, 0), and (-c, 0), where c = (a2 – b2)1/2. The eccentricity, e, of this ellipse is given by e=c/a, while the length of the ellipse’s perimeter is \int_0^((\pi )/(2)) 4a(1-e^(2)sin^(2)\theta )^((1)/(2))d\theta . If 0 < e < 1, this integral cannot be integrated in terms of “well-known” functions. However, fnInt, may be used...

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