Recent content by drasord

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    MHB What is the Optimal Rectangle in a Semicircle with Radius R?

    Or now I have to find area: A = l * w A = 2R/sqrt(2) * sqrt(R^2/2) A = sqrt(2) * sqrt(x) * sqrt(x^2) ?
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    MHB What is the Optimal Rectangle in a Semicircle with Radius R?

    So now I have A, length, and width. Correct? A = $$2x * sqrt(R^2 - x^2)$$
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    MHB What is the Optimal Rectangle in a Semicircle with Radius R?

    Absolutely - sorry for the delay! This is my understanding of how to "optimize" the problem: So I've found the area, I believe. But I need to find the "rectangle of largest area that can be inscribed in a semicircle of radius R". I'm confused about how to do this. And what does the...
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    MHB How Do You Sketch the Curve of y = f(x) with Given Characteristics?

    Hello guys, I'm really stuck on this problem. Could anyone provide help? f(x) = x^2 - 1 Obtain: (i) domain (ii) intercepts (iii) symmetry (iv) asymptotes (v) intervals of increase/decrease (vi) local maxima and minima (vii) concavity and points of inflection Use these values to...
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    MHB What is the Optimal Rectangle in a Semicircle with Radius R?

    I'm really stuck on this problem. Could anyone provide some help? Find the length and width of the rectangle of largest area that can be inscribed in a semicircle of radius R, assuming that one side of the rectangle lies on the diameter of the semicircle. Also, find the area of this rectangle...