Recent content by mattxr250

  1. M

    Minimizing Total Area: Optimal Dimensions for Triangles and Squares

    well, i found the formula for the area of an equilateral triangle... [(3^(1/2))/4](L^2)... i really need help guys...any suggestions?
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    Minimizing Total Area: Optimal Dimensions for Triangles and Squares

    oh, isn't that a "30, 60, 90" triangle if you draw an altitude from a vertex to the opposite side?? ok, maybe I'll try that...but... what do I differentiate?? the two forumlas for area?
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    Minimizing Total Area: Optimal Dimensions for Triangles and Squares

    well, as stated the area of the square is just W^2...and although the formula for the area of triangle is (1/2)b(h), I don't know how to get to that... to get the optimization part you need the equations for the area, differentiate them, and then find the min of f '(x), but I don't know...
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    Minimizing Total Area: Optimal Dimensions for Triangles and Squares

    HallsofIvy, I had the 3L + 4W = 10...As you stated, the sides of the triangle cannot be the same length as the square because you don't have to differentiate to find a minimum area...heres what i came up with for setting that equation equal to L... L = (10-4W)/3... so does this make sense...
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    Minimizing Total Area: Optimal Dimensions for Triangles and Squares

    I was wondering if someone could workout this problem... The sum of the perimeters of an equilateral triangle and square is 10. Find the dimensions of the triangle and the square that produce a minimum total area. Thanks for any help
  6. M

    Prove the Power Rule (calculus)

    yes I have and I came up with... q(y^(q-1))(dy/dx) = p(x^(p-1)) but I'm stuck after I get here...i guess I could isolate dy/dx, but I'm not sure where to go from there...any help?
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    Prove the Power Rule (calculus)

    Ok guys, I'm new here and I need some help with a math problem... The problem asks me to prove the power rule ---> d/dx[x^n] = nx^(n-1) for the case in which n is a ratioinal number... the one stipulation is that I have to prove it using this method: write y=x^(p/q) in the form y^q = x^p...
  8. M

    Prove Power Rule: Implicit Differentiation w/ Rational Exponents

    Ok guys, I'm new here and I need some help with a math problem... The problem asks me to prove the power rule ---> d/dx[x^n] = nx^(n-1) for the case in which n is a ratioinal number... the one stipulation is that I have to prove it using this method: write y=x^(p/q) in the form y^q = x^p...
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