Recent content by Eds

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    Meaning of irrational exponent

    This shows how bad things are in some schools. If you are going to consider irrational exponents then a better approch is needed. The modern way is: 1. Define the Natural logarithm using an integral, viz, ln(x). This is continuous and continuously differentiable for x>0 2. Its inverse...
  2. E

    Proving v^2 = n^2 (A^2-x^2) from v dv/dx = -n^2x

    Integrate both sides wrt x, giving you: integral v dv = -n^2 integral x dx. This, with intial conditions( v=0 at x = a), gives you the required quadratic. Next up, learn to spell and write English.
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    How do I plot the graph of f(x) = 4/(x+3)?

    Learn to draw y = 1/x, first then realize what transformation maps y = 1/x on to y = 1/(x+3). The 4 only represents a one-way stretch in the y-direction, doesn't it.
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    Pulley Problem, 1 crate hanging, 1 crate on an incline

    Tension is less than weight of crate. You have 2 equations involving T and a: Mg – T = Ma (for crate) & T – mgsin(33.3°) = ma (mass on slope). Now all you have to do is solve these 2 simultaneous equations for T & a. Don't you have any notes on this?
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