# Homework Help: How To Solve These Equations? Need A Clue/Hint

1. Mar 25, 2013

### mymachine

1. The problem statement, all variables and given/known data

$F(t)=$

$\frac{1}{6}(7-t)^{2}(1,2)+\frac{1}{3}(-t^{2}+12t-34)(3,5)+\frac{1}{6}(t-5)^{2}(6,2)$__________if__________$5≤t<7$

and

$\frac{1}{3}(8-t)^{2}(3,5)+\frac{1}{3}(-2t^{2}+30t-110)(6,2)+\frac{1}{3}(t-7)^{2}(9,4)$__________if__________$7≤t≤8$

2. Relevant equations

None

3. The attempt at a solution

None because I don't understand

I wouldn't ask if I do understand.

This is a spline equation.

Thank you

2. Mar 25, 2013

### SammyS

Staff Emeritus
The title of you thread mentions "solving these equations", but there's nothing to solve.

It looks as though F(t) is a piecewise defined function.

Are the quantities which look like points actually supposed to be position vectors? (I'm referring to (1, 2), (3, 5), and (6, 2) in the first expression.)

3. Mar 25, 2013

### mymachine

I am not sure.

Yes, it might be.

It looks like a cartesian coordinate to me.

What should I do?

Should I multiply them?

Note this is a function of spline.