fan96's latest activity

  • fan96
    fan96 replied to the thread Maths neatness.
    If your fraction stack is growing out of control, you can just get rid of the fraction entirely - write...
  • fan96
    fan96 replied to the thread MORE MATH HELP!!.
    There isn't really a systematic way (that I'm aware of) of obtaining every asymptote for a given function, but here are a few general...
  • fan96
    fan96 replied to the thread Challenging (?) Proof Question.
    If one wanted to actually find examples of M , here is an approach that works for M \in \mathbb R . I'll use the hyperbolic function...
  • fan96
    fan96 replied to the thread Challenging (?) Proof Question.
    Is the condition M \notin \mathbb Z really necessary? The only case of this I can see is 1 + 1/1 = 2 \in \mathbb Z, so it would be...
  • fan96
    fan96 reacted to CM_Tutor's post in the thread Challenging (?) Proof Question with Like Like.
    Prove that if M \notin \mathbb{Z} but M + \cfrac{1}{M} = \cfrac{M^2 + 1}{M} \in \mathbb{Z}, then M^n + \cfrac{1}{M^n} \in \mathbb{Z} for...
  • fan96
    fan96 replied to the thread Perms & Coms.
    If the queues are distinct, then we should have 17280 = \underbrace{\left( \binom{8}{4} \times 4! \times 4!\right)}_{\text{no...
  • fan96
    For both balls we have \begin{cases} y_1(t) &= -\frac{9.8}{2}t^2+100\sin(\pi/6)t+h \\ x_1(t) &=100\cos(\pi/6)t\end{cases}...
  • fan96
    fan96 replied to the thread What do I transfer to?.
    Computer Engineering requires only standard Phys 1B and it's not a prerequisite for anything else. There are quite a few ELEC courses...
  • fan96
    fan96 replied to the thread Vectors.
    Recall that for two vectors \bold x, \bold y we have \cos \theta = \frac{\bold x \cdot \bold y}{|\bold x||\bold y|}, where \theta...
  • fan96
    fan96 replied to the thread 4 types of relations.
    Unfortunately it's not that simple. You can't "break up" the absolute value function like that. If y = |x-3| , then y = \pm(x - 3)...
  • fan96
    fan96 replied to the thread 4 types of relations.
    That's called the absolute value function, and it's defined by |x| = \begin{cases} x, &\text{if }x \ge 0, \\-x, &\text{if }x <...
  • fan96
    fan96 replied to the thread Help with complex.
    Say you have a statement you're trying to prove by induction. A normal induction proof would go like "if this statement is true for k...
  • fan96
    This is one of the more common differentiation mistakes. \frac{d}{dx} x^x \overset{?}=x \cdot x^{x-1} For trigonometry in general...
  • fan96
    fan96 reacted to jazz519's post in the thread Term 1 2019 Results Discussion Thread with Like Like.
    I know this was last year haha but I wanted to answer the question properly haha 😂. Just found out I topped that course, as well as my...
  • fan96
    The quantity \frac{k^2-RX^2}{2\cdot PX \cdot QX} can probably be simplified so as to remove k . The answer I gave holds...
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