(a) Sketch the triangular region in the first quadrant

Chapter 10, Problem 42

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(a) Sketch the triangular region in the first quadrant bounded by the lines y 5x, y 3x 6, and the xaxis. One vertex of this triangle is the origin. Find the coordinates of the other two vertices. Then use your answers to compute the area of the triangle. (b) More generally now, express the area of the shaded triangle in the following figure in terms of m, M, and b. Then use your result to check the answer you obtained in part (a) for that area.

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