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Re: Several Variable Calculus \text{Find the surface area of the part of the plane }2x+y +2z = 16 \text{ bounded by the surfaces }\\x = 0, y = 0\text{ and }x^2+y^2=64 I might be misinterpreting the question but I thought that they're basically asking for 1/4 * area of curve of intersection...

Re: Several Variable Calculus I was able to deduce that 0\le \theta\le 2\pi\text{ and }0\le \phi \le \frac{\pi}{2} It's always rho that gets me. Unless I picked the order of integration wrong.

Re: Several Variable Calculus I think spherical is preferred here (could be mistaken). But using the best approach, how would you determine the limits for this \text{Find the volume of the solid bounded between the spheres }\\x^2+y^2+z^2=a^2\, \text{and }x^2+y^2+(z-a)^2 = a^2

Re: Several Variable Calculus \text{Express the volume above the cone }z=\sqrt{x^2+y^2}\\\text{and inside the sphere }x^2+y^2+z^2=2az\\ \text{using Cartesian, cylindrical and spherical coordinates} Even with the diagram in front of me I still struggle to figure out my boundaries of...

Re: UNSW chit chat thread 2017 Sorry, these are not included in the actuarial program and I have no information about them.

Re: UNSW chit chat thread 2017 Per Tronnes is worth listening to for ACCT1511. I didn't enjoy the rest of my lecturers but I think they changed who lectured it though.

Which whilst possible for just one test, is insanely hard for all of them

Not everyone does part IIIs anyway

Re: Several Variable Calculus I get lost in this Einstein summation convention so can I see how this problem would be approached using it? \text{For a general }\textbf{a}=(a_1,a_2,a_3)^T \in \mathbb{R}^3\text{ find the matrix }A\in M_{3,3}(\mathbb{R})\\ \text{such that }\textbf{a}\times...

Re: UNSW chit chat thread 2017 SCIF helped me make friends but the course itself was bs

Re: MATH2601 Linear Algebra/Group Theory Questions Okay good I agree. But what would be an easy method to generate a counterexample?

Re: MATH2601 Linear Algebra/Group Theory Questions \text{Let }T:\mathbb{R}^2\to \mathbb{R}^3\text{ be linear and suppose }\\T(\textbf{v})=(1,2,3)\text{ and }T(\textbf{w})=(2,4,6) \text{Must }\textbf{v}\text{ and }\textbf{w}\text{ be linearly dependent?}

Re: MATH2601 Linear Algebra/Group Theory Questions T:\mathbb{P}_2 \to \mathbb{R}^3, \, T(p) = (p(a),p^\prime(b),p(c)) \text{Found in b): w.r.t. the standard bases, the matrix of T is}\\ A=\begin{pmatrix}1&a&a^2\\ 0&1&2b\\ 1&c&c^2\end{pmatrix} \text{Deduced in c): Using the fact that...

Re: Statistics Hmm. The original question defined V and W as the time taken for two different persons have to wait for their train to ride (given that they do not have to wait any more than 1 hour). The fact that V and W were Unif(0,60) could suggest why it's a triangle (and not say the bell...

Re: Statistics Awesome, I finally see it.

Re: Statistics That's interesting, u - 60 < z \le u was the first thing I had. \text{But in that case, after I did }f_Z(z) =\int_0^{60} \frac1{3600}du\\ \text{What becomes the domain of }z\text{ then?}

Re: Statistics f_{V,W}(v,w) = \frac{1}{3600}, \, 0 \le v,w < 60 \text{Required: The density of }Z=W-V \text{Approach so far: Additionally, define }U=W\\ \text{After some computation, }f_{Z,U}(z,u) = \frac{1}{3600}\text{ and }0\le u < 60 Once again stuck on domains. I keep forgetting...

Re: MATH2601 Linear Algebra/Group Theory Questions V=\{p \in \mathbb{P}_3 \mid p(2) = 0\}\text{ (assumed to be a V.S.} \text{RTP: }B=\{(t-2),(t-2)^2,(t-2)^3\}\text{ is a basis for }V So the question is obviously easy first year stuff. I'd prove linear independence and then use dim(V) = B...

Re: MATH2601 Linear Algebra/Group Theory Questions Is there an intuitive explanation for this? Let T be a linear map on a finite-dimensional inner product space V Then T is an isometry iff T is unitary

Re: Statistics Nice. I knew I was missing something.