x=t3-3t y=t2 be given and the curve grphed for you. find and lable the point on

Question

x=t3-3t

y=t2

be given and the curve grphed for you. find and lable the point on the curve when t=2

with it's coordinates.

Find the slope of the tangent line at that point.

(you do not need to find the line equation. you do not need to graph line.)

what is m2 =2=........

x=t3-3t y=t2 be given and the curve grphed for you. find and lable the point on the curve when t=2 with it's coordinates. Find the slope of the tangent line at that point. (you do not need to find the line equation. you do not need to graph line.) what is m2 =2=........

Explanation / Answer

x = t3 - 3t

dx/dt = 3t2 - 3

y = t2

dy/dt = 2t

now slope = dy/dx = [dy/dt]/[dx/dt] = (3t2-3)/(2t)

at t= 2

slope = [3(4)-3]/[2(3)] = (12-3 )/ 6

= 9/6 = 3/2

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