Primitive Functions

**xwrathbringerx** · Sep 22nd 2009, 05:19 AM

At all points on a certan curve, y'' = 2x. The point (3,6) belongs to the curve and its tangent at this point is inclined at 45 degrees to the X-axis. Find the equation of the curve.

How exactly do I use the bold part for this problem? I've found y' = x^2 + c...

Oh, and is the answer actually y = x^2 - 5x + 12 (txtbk answer) cause it doesn't look right to me.

**Chris L T521** · Sep 22nd 2009, 06:35 AM

Originally Posted by xwrathbringerx

At all points on a certan curve, y'' = 2x. The point (3,6) belongs to the curve and its tangent at this point is inclined at 45 degrees to the X-axis. Find the equation of the curve.

How exactly do I use the bold part for this problem? I've found y' = x^2 + c...

Oh, and is the answer actually y = x^2 - 5x + 12 (txtbk answer) cause it doesn't look right to me.

The bolded part informs you that $y^{\prime}(3)=1$ .

So this is a differential equation $y^{\prime\prime}=2x$ with $y(3)=6$ and $y^{\prime}(3)=1$

I'm sure you can proceed from here.

Thread: Primitive Functions

LinkBack

Thread Tools

Display

Primitive Functions

Similar Math Help Forum Discussions

Prove if a is a primitive root mod p^2, then it is a primitive root mod p

How to find primitive functions?

Primitive Functions

primitive of z^2 . e^z^3

Primitive Recursive vs Recursive Functions

Search Tags