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I don't know how to do for a,b,c fProblem A 12-foot ladder is placed on the xy-axis as shown below. The end A of the

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I don't know how to do for a,b,c

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\fProblem A 12-foot ladder is placed on the xy-axis as shown below. The end A of the ladder moves to the right along the x-axis at the rate of 3 feet per second. The end B of the ladder moves downward along the y- axis Suppose a monkey is at point M on the ladder. Find the parametric equations for the path of the monkey, who starts climbing the ladder at point A when the ladder is vertical (t = 0 ). The monkey moves along the ladder towards point B at the rate of 2 feet per second. Use time t as the parameter. Hint: remember that d = rt and use similar triangles. b. Sketch the curve representing the path of the monkey from $ = 0 to t = 4 . Use graph paper if you graph it by hand or use an app (Desmos or similar) to graph the curve. Turn in your graph. C. Find an equation in rectangular coordinates for the path of the monkey. B M A

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