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8h
comment Evaluate $\iint dydx$ on the domain $0\leq r\leq1$, ${\pi}/{3}\leq\theta \leq{2\pi}/{3}$
They are the same...
8h
revised Evaluate $\iint dydx$ on the domain $0\leq r\leq1$, ${\pi}/{3}\leq\theta \leq{2\pi}/{3}$
added 503 characters in body
8h
answered Evaluate $\iint dydx$ on the domain $0\leq r\leq1$, ${\pi}/{3}\leq\theta \leq{2\pi}/{3}$
8h
comment Evaluate $\iint dydx$ on the domain $0\leq r\leq1$, ${\pi}/{3}\leq\theta \leq{2\pi}/{3}$
What wrong with just stating that this is the area of the sector of the unit circle where $\pi/3 < \theta < 2\pi/3$ (i.e. $\pi/6$)?
1d
comment Solve the equation $4\sqrt{2-x^2}=-x^3-x^2+3x+3$
Note that not all roots of this degree 6 polynomial will necessarily solve the original problem (even if they are real)
1d
comment Exam question: Are zero points justified for this answer?
Your solution is fine. Unless this was potentially worth 1 mark, giving you zero is pretty stupid imo.
2d
comment How to find the antiderivative of f(x).
Indeed, that works
2d
answered How to find the antiderivative of f(x).
2d
awarded  calculus
2d
awarded  Enlightened
Jul
27
awarded  Nice Answer
Jul
27
answered Easy method to check integrability as elementary functions
Jul
27
comment What is $0\div0\cdot0$?
"face screaming in fear" is the perfect emoji for this context.
Jul
27
comment What do you call this thing in probability theory?
@WillR I agree that the theorem itself is too hard, but the spirit of it (e.g. if you flip a coin a large number of times, the likelihood of getting 0 heads is very small) is pretty straightforward. An intuitive argument for it could be very simple.
Jul
27
comment What do you call this thing in probability theory?
@WillR I think I might agree with you. The reason I thought this wasn't about the LLN is because of the part "so the probability of having a life becomes higher", but of course in the law of large numbers your actual probability of finding life on a particular planet doesn't change. I think I suggested expectation in the same sense you suggest the LLN, and I think Borel-Cantelli actually captures the concept better than either of them.
Jul
27
comment What do you call this thing in probability theory?
I'm pretty sure this isn't about the laws of large numbers - it sounds to me like Marco is thinking of expectation, but it's hard to tell.
Jul
27
comment Solve Double Integral Using Change of Variables: $\int^1_0 \int^{y^2}_0 {y\cos(x-y^2)dxdy}$
The substitution $u=y^{2}$ seems like a very helpful one!
Jul
27
revised The word “integral” in calculus unrelated to “integral” / “integer” in algebra?
added 573 characters in body
Jul
27
answered The word “integral” in calculus unrelated to “integral” / “integer” in algebra?
Jul
27
answered L'Hospital rule, exponental ratio