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Find the absolute maximum and absolute minimum z-values of h(x, y) = 3x + 4y on...

Find the absolute maximum and absolute minimum z-values of h(x, y) = 3x + 4y on the circle x^2 + y^2 = 25 using Lagrange multipliers. Point(s) will be deducted if you do not check all relevant points, or if you check points that do not need to be checked.

Clearly indicate your final answers, and do not include points on the inside of the circle.

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