question archive Sketch the graph of the parametric curve given by r = -3t, y = -302

Sketch the graph of the parametric curve given by r = -3t, y = -302

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Sketch the graph of the parametric curve given by r = -3t, y = -302. Find the points where the tangent to the graph is vertical or horizontal. 6. (a) On the ry-coordinate system sketch the graph of the parametric curve (astroid) given by the equations x - a cos" 0, y - asin 0, where a > 0. (b) Find the total length of this curve.

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5)

Tangent is vertical

t = 1; x= -2; y=-2

t= -1; x = 2; y= -4

 

Tangent is horizontal

t = 0; x= 0; y=0

t= 2; x = 2; y= -4

 

6) The total length of the curve is L = 6a.

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