Recent content by lp27

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    Differentials - not understanding directions

    Thank you, that was straight forward.
  2. L

    Differentials - not understanding directions

    Homework Statement Find dy and evaluate dy for the given value x and dx . y = x^3 - 3x, x = 2, dx = 0.05 Homework Equations The Attempt at a Solution I have no idea how to begin this problem. I assumed that I find y'. Then plug in x into y'. Following that, I am not sure.
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    Optimization of inscribed circle

    Homework Statement Given the function y = 12- 3x^2, find the maximum semi-circular area bounded by the curve and the x-axis. Homework Equations A= Pi(r^2) The Attempt at a Solution I found my zeros, 2 and -2, and my maximum height of 12 from the y'. A' = 2Pi(r)
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    Finding max. and min. values analytically

    Homework Statement y = 2x^2-14x Homework Equations The Attempt at a Solution y' = 4x - 14 4x - 14 = 0 x = 14/4 f(14/4) = 2(14/4)^2 - 14 (14/4) = -49/2 I don't know how to continue from there. ((14/4), (-49/2)) is my critical point?
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