Recent content by paech

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    Finding the Side-lengths of a Rectangle with Given Area Increase

    Homework Statement A rectangle is 2 metres longer than it is wide. On the other hand, if each side of the rectangle is increased by 2 metres, then the area increases by 24 square metres. Find the side-lengths of the rectangle. Homework Equations The Attempt at a Solution So my...
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    Inequality with two absolute values

    Homework Statement Find all real values of x that satisfy the following inequality. Homework Equations |x-3| > |x + 1| The Attempt at a Solution Splitting up the inequality into cases I get: 1. |x-3| > x + 1 and 2. |x-3| < -x - 1 1. x-3 > x + 1 or x-3 < -x - 1...
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    Differentiation of a function in a domain

    Ah right, thanks. I had a feeling that I was misinterpreting the problem and that I just needed to differentiate it as I normally would.
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    Differentiation of a function in a domain

    Homework Statement Find the derivatives at an arbitrary point x in the domain of the following functions f_i: D_i → ℝ, where for 1 ≤ i ≤ 6 the domain D_i is the maximal subset of ℝ on which the mapping is defined - you don't have to determine the domains. Homework Equations a) f_1 (a) =...
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