### Questions (74)

 12 Notation: Is $(\Delta x)^2 = \Delta x^2$? 7 Coefficients of the characteristic polynomial 7 Defining the Cosine Function from First Principles, intuitively 7 What is a homogeneous Differential Equation? 6 Better proof for $\frac{1+\cos x + \sin x}{1 - \cos x + \sin x} \equiv \frac{1+\cos x}{\sin x}$

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 +30 Differentiable map sending square to circle +30 Finding all real solutions of $x-8\sqrt{x}+7=0$ +20 From binomial theorem to differential calculus +15 Different soccer pairings in quarter finals - check my solution

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 5 Find the points of intersection between two curves $y=e^{-x^{2}}, y = xe^{-x^2}$ 5 Introduction to Category Theory 5 Derivative of $F(x)=\int^{1}_{0}\frac{\sin(xt)}{t}dt$ 5 Maclaurin series expansion of $f(x) = \ln(3x^2 +4x +1)$ 4 Is Sloane's Gap due to random chance or human factor?

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 16 calculus × 13 7 abstract-algebra × 4 14 algebra-precalculus × 7 7 definite-integrals × 2 8 integration × 6 6 linear-transformations × 2 7 combinatorics × 8 5 linear-algebra × 18 7 probability × 4 5 euler-maclaurin

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