### Questions (448)

 25 Why is the hypotenuse in trig always positive regardless of the quadrant? 16 Vector spaces. When in the real world are we checking if it's a vector space or not? 15 Why is this equation of what appears to be a circle not a function? How do show this algebraically. 9 What makes this answer unsimplified? 8 Isn't $\lim_{h \to 0} \frac{c-c}{h}$ indeterminate, as $\lim_{h \to 0} \frac{c-c}{h} = \frac{0}{0}$?

### Reputation (5,299)

 +10 Why is the hypotenuse in trig always positive regardless of the quadrant? +10 Can you apply the ratio or root test to complex series? +10 GRE problem involving LCD, prime factorization, and sets. -2 What is the antiderivative of $(e^x)^2$

### Answers (3)

 0 If $mv < pv < 0$, is $v > 0?$ (1) $m < p$ (2) $m < 0$ 0 Prime factor question and geometry 0 Two similar combination questions, but drastically different methods. Why the difference?

### Tags (88)

 0 calculus × 117 0 algebra-precalculus × 21 0 linear-algebra × 81 0 ordinary-differential-equations × 15 0 sequences-and-series × 59 0 trigonometry × 10 0 integration × 41 0 multivariable-calculus × 9 0 definite-integrals × 22 0 inequality × 9

### Bookmarks (5)

 47 A question about differentiating equations that are impossible to solve for a variable 4 Does $\sum_{n=1}^\infty \frac{\cos(n\pi/3)}{n!}$ absolutely converge? 3 $y'' - y' = e^x$ (Variation of Parameters) 2 Series Convergence of $\sum\limits_{n=1}^{\infty} \frac{\cos(n\pi/3)}{n!}$ by Ratio Test -1 Finding an intuitive understanding of $\operatorname e$ and natural logs…

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