Parametric Curves

Practice Questions

Calculus 3 › Parametric Curves

Questions

8

1

Find the equation of the line passing through the two points, given in parametric form:

2

Find the coordinates of the curve function

when $t=\frac{\pi}{2}$

3

Find the coordinates of the curve function

when

4

Find the coordinate of the parametric curve when

$t=\pi/2$

,

5

Find the length of the parametric curve described by

$x = 2\sin t$

$y = 2\cos t$

from to $\pi$ .

6

Find the coordinates of the curve function

when .

7

Write the parametric equations of the line that passes through the points $\left ( 0,1,3\right )$ and $\left ( 2,5,8\right )$ .

8

Evaluate the line integral $\int_C f(x,y)ds$ of the function

over the line segment from to

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