Posted by **Kenny** on Monday, February 22, 2010 at 9:12pm.

Could someone please help me with this question;

Find the tangent to the curve y=x^2-8x+14 which slope is -2. Show that this tangent touches the curve y= -x^2-4x+4. Find the point of contact.

Thank you.

- Calculus -
**bobpursley**, Monday, February 22, 2010 at 9:18pm
take the derivative of the first equation

y'=2x-8

-2=2x-8

x= 3 is where the tangent has the slope of -2

so the equation of that tangent line is

y=-2x+b to find b, you have to find y at x=3

y= x^2-8x+14=9-24+14

now put that y into

y=-2x + b and solve for b.

Now you have the line. I will leave it up to you to show this line is tangent to the second curve, the process is very similar.

- Calculus -
**Kenny**, Monday, February 22, 2010 at 10:31pm
Thank you Bobpursley.

After doing what you told me, the point of contact I got is, (-1,7).

Is this correct?

## Answer This Question

## Related Questions

- Calculus AB - Could someone please help me with these tangent line problems? 1) ...
- 12th Grade Calculus - 1. a.) Find an equation for the line perpendicular to the ...
- calculus - Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 . a. Show ...
- calculus - 1. Given the curve a. Find an expression for the slope of the curve ...
- Calculus AB - Sorry but I've got a lot of problems that I don't understand. 1) ...
- Calculus - Consider the curve given by y^2 = 2+xy (a) show that dy/dx= y/(2y-x...
- please help; calc - original curve: 2y^3+6(x^2)y-12x^2+6y=1 dy/dx=(4x-2xy)/(x^2+...
- mathematics-slope of tangent - Find the slope of the tangent to the curve x^2+xy...
- calculus - Consider line segments which are tangent to a point on the right half...
- Calc AB - Suppose that f(x) is an invertible function (that is, has an inverse ...

More Related Questions