Recent content by math20

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    Proving Steady State of Initial Vector S0

    If the sum of the components of each column vector of a matrix is 1, then the sum of the components of any initial vector will be preserved. It is important to note in the following proof that the dot product, when take with a vector whose components are all one(denoted \vec 1), is equivalent to...
  2. M

    Undergrad How Do You Calculate Maximum Height in Projectile Motion Using Calculus?

    The t value of the maximum will be a zero of H'(t) since that is when the paper clip stops going up and starts to go back down. Since H'(t) = 64-32t, 64-32t=0 => 64=32t => t=2 with H(2) = 64. Also, you would be shooting the paperclip up at 64 feet per second from a height of 0 feet with that...
  3. M

    Undergrad Is My Chain Rule Derivation Correct for u*sin(x^2)?

    If u is a function of x and you are differentiating with respect to x, then it looks correct to me.