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Please help with all in a clear readable format and please show all work so that I may understand. Sketch the curve represented by the

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Please help with all in a clear readable format and please show all work so that I may understand.

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Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangu'ar equation by eliminating the parameter. x = 1/}, y = r 9 10 Find dy/dx and dzyfdxl, and find the slope and concavity (if possible] at the given value of the parameter. {If an answer does not exist, enter DNE.) Parametric Equations Point x=6cos,y=65in6 3=% gig.) 24% slope : j : concavity: Convert the rectangular equation to polar form and select its graph. x + = 25 1/2 1/2 - 0 -2 2 - 6 -4 - 2 2 4 - 2 O -21 -6 #/2 20 5 10 -5 -20 -10 10 20 - 10 -5 -20 O OConvert the polar equation to rectangular form and sketch its graph. r = 5 sin(@) 2 0.6 0.4 -4 - 2 2 -2- 0.2 O O -0.4 -0.2 0.2 0.4 40+ 30 20 10 -40 20 1 -10 20 O -2 -1 1 2Write an integral that represents the area of the shaded region of the figure. Do not evaluate the integral. r = cos(29) de 3 /4 0.5 -0.5 0.5 140 -0.5 -1.0F

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