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What is (a) even asking for? A right triangle is formed in the first quadrant by the x- and y-axes and a line through the

What is (a) even asking for?

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A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (1, 2) (see figure below). (0. y) 2+ (1, 2 ) (a) Write the length L of the hypotenuse as a function of x. L = ,X 2 1 (b) Use a graphing utility to approximate x graphically such that the length of the hypotenuse is a minimum. 10- 10 OT 2 -4 6 8 O -10- O 10 2 8 10 -2 4 2 -B 2 B O -10- Find the value of x that produces the minimum value L. (Round your answer to three decimal places.) X = (c) Find the vertices of the triangle such that its area is a minimum. (Order your answers from smallest to largest x, then from smallest to largest y.) ( x, y ) = CL ( x, V ) = (L (x, y) = (l

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