Recent content by dexstarr

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    MHB Simplifying the Integral of 20 sec^3(x) dx using Trigonometric Identities

    I'm having a hard time breaking this down using tri identities. } = integral sign 20}sec^3(x) dx 20}sec^2(x) * sec(x) dx 20}[tan^2(x)-1] * sec(x) dx after this I'm stuck. I tried letting u = tan(x) or sec(x) but i can't seem to cancel anything out.
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    MHB Understanding Dimensional Analysis: Solving for i, j, and k Values

    I'm having trouble understanding a step. How are the values of " i , j , and k " derived? When equating the powers what step has to be done? I have been stumped on this for a while and I think I'm just over thinking it. https://www.dropbox.com/s/agc0ga9hsjd04jn/Sample%20Problem.png
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    MHB Maximizing Area: Solving an Inscribed Circle Problem in an Isosceles Triangle

    s = (2 + x)/(2) or (1 + x/2) r^2 = [((1 + x/2)-1)((1 + x/2)-1)((1 + x/2)-x)] / (1 + x/2) r^2 = (2x^2 - x^3) / (4x+8) r^2 ' = (-x^3-2x^2+4x) / (2x^2+8x+8) (-x^3-2x^2+4x) / (2x^2+8x+8) = 0 Max is x= -1 + (5)^1/2 Min is x= 0 Is this correct so far?
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    MHB Maximizing Area: Solving an Inscribed Circle Problem in an Isosceles Triangle

    Hey Everyone, I'm having trouble setting up this word problem. I know that area of a circle is pir2 and area of a triangle is 1/2bh but for some reason I can't find a way to combine these equation together. What are the radius and area of the circle of maximum area that can be inscribed in an...