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A calculus question. Help please [5 points] 5. Sketch the graph of the curve whose parametric equations are: x = 6 cost for 0 Ets

A calculus question. Help please

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[5 points] 5. Sketch the graph of the curve whose parametric equations are: x = 6 cost for 0 Ets 2n. y = 4 sin t Indicate with an arrow the direction in which the curve is traced as t increases. [5 points] 6. Find parametric equations for the line segment from the point with coordinates (-1, 4) to the point with coordinates (3, -1). Include the restriction on the parameter t. [3 points] 7. Use t as the integration variable to set up, but not evaluate, an integral that represents the length of the curve whose parametric equations are x = t for 251 5 3. y = 13 [5 points] 8. Use t as the integration variable to calculate the area of the region bounded by the x- axis, x = 4, x = 9, and the curve whose parametric equations are x = t2 for 2 St

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