### Questions (75)

 4 Strategies for proving that a critical point is neither maximum nor minimum 3 Find the general solution of $e^y (\cos xy - y \sin xy)dx + e^y (\cos xy - x \sin xy)dy = 0$ 3 Solve the initial value problem $x'=\frac{1+x}{1-t^2},x(0)=1$ 3 Very specific quibble re: proving that $g(x)=\sqrt{x}$ is continuous at $c \neq 0$ using $\epsilon-\delta$ arguments 3 Let $F=2X^3-X^2+5X-6$, $G \in \mathbb{R}[X]$, $\deg(G)=2$. If $F + G$ has roots $-1,0,1$, find lowest degree $H$ s.t. $G\mid H$, $\gcd(H,H')=X^2(X-6)$

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 0 multivariable-calculus × 18 0 proof-verification × 8 0 limits × 12 0 elementary-number-theory × 7 0 real-analysis × 11 0 modular-arithmetic × 7 0 calculus × 9 0 linear-algebra × 6 0 divisibility × 9 0 continuity × 6

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 2 Using strong induction to prove divisibility statements

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