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Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction as t increases. Eliminate parameter to find a Cartesian equation of the curve.1) x= 2t-1 y=1/2t+12) x=3t+2 y=2t+33)x=t^3 -3 y=t+2 -3≤t≤3

Sagot :

The value of y can be written as y=(x+5)/4.

Here our task is not to find the value of x or y but to find the relation between x and y by eliminating the t from both the equations.

Given that,

Curve equations are  x= 2t-1 y=1/2t+1

x= 2t-1 and y=1/2t+1

2t = x+1

t = (x+1)/2

substitute t value in y

y = t/2 + 1

y = (x+1/2)/2 + 1

y = x+5/4

you can also write x =4y-5

But generally when we have to draw the graph we will be taking x as input value and y as output value so y can be written as y=(x+5)/4

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