Mathematics
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bigfocalchord

For the things of this world cannot be made known without a knowledge of mathematics.

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Top posts (278) All Questions Answers | Votes Newest

15 If two integer triples have the same sum of 6th powers, then their sums of squares agree $\bmod 9$ Dec 24 '15
12 Finding Maximum Area of a Rectangle in an Ellipse [duplicate] Mar 6 '16
9 Prove that the root is a whole number Jan 15 '17
8 Separable Differential Equation (Check Answer) Dec 28 '15
7 A student forgot the Product Rule for differentiation and made the mistake of thinking that $(fg)'=f'g'$… Dec 16 '16
7 Find all prime numbers $p$ such that $16p+1$ is a perfect cube Dec 3 '17
7 Given $x_1 := \sqrt{2}$ and $x_{n+1} :=\sqrt{2x_n} $, prove $\sqrt{2} ≤ x_n ≤ 2$ Dec 28 '17
6 Using an integration technique:$ \int^b_a \left[f(x)+f^{-1}(x)\right]dx=b^2-a^2$ Jan 3 '17
6 If $a_n = \frac{1}{2} (a_{n-1}+a_{n-2})$ prove $a_n=2+4 \left(\frac{-1}{2}\right)^n$ for $n \geq 2$ Jan 5 '17
6 Proving $ z^n + \frac1{z^n} = 2\cos(n\theta) $ for $z = \cos (\theta) + i\sin(\theta)$ Jan 2 '16
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