Question

helps to parameterize curve

Answer 1

\[F(x,y)= (x²+y²)i + 3x²j \]
\[Y=x²\]
points (1,1) (2,4)

Answer 2

I am here Big BOY

Answer 3

dude!
lets x=t
R(t)=<t,t^2> what t value you need to cover from (1,1) to (2,4)
why t from 1 to 2 ofcourse

Answer 4

is the parametric curve x = t and y = t ²
in this template, but I have no idea how you came to these values

Answer 5

How I guess you want to do F.Dr around this curve

Answer 6

Because think of it like this

Answer 7

R(t)=<x(t),y(t)>, at every given "time" lets say, there is a certain x and y value on the parabola, if this parabola is the path, with respect to time you are traversing it at different times you are on different point on the parabola...

Answer 8

Now continue, I think the next question is find F.Dr

Answer 9

R(t)=<t,t^2>
dr/dt=<t,2t>
dr=<t,2t>dt
F.dr= F.<t,2t>dt
\[\int {F dot <t,2t> dt}\]

Answer 10

Okay, good luck buddy.

Answer 11

Tell me if you need any more clarification with paremetrization. How I think of it is to just write all the points in this vector form.