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:3; I IS pointst Consider the curve with parametric equations: .t- = (r l)3(:+ l) y = 0-' 2)2(1- 5) a. What are the .1'

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:3; I IS pointst Consider the curve with parametric equations: .t- = (r l)3(:+ l) y = 0-' 2)2(1- 5) a. What are the .1' and _1' intercepts of the graph? h. Find the derivatives Q and if; ch ch direction in which the curve is being traced on each interval. . Do a sign analysis for these derivatives, and state the c. At what pointls is the tangent to the curve horizontal, if any? Specify both .1: and y coordinates At what point/s is the tangent to the curve vertical. if any? Specify both x and _v coordinates (you may approximate these coordinates). (1. Does the curve have a cusp'? If so. where, and what is the slope at the cusp? e. L'se all the information above to sketch the curve. using arrows to show the direction of increasing t

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