Homework Help: Calculus

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 - 1. Given the curve a. Find an expression for the slope of the curve ...
12th Grade Calculus - 1. a.) Find an equation for the line perpendicular to the ...
Calculus [finding slope of tangent line] - Find the slope of the tangent line to...
Math (Calculus) - Use implicit differentiation to find the slope of the tangent ...
Calculus - I have a two part question that pertains to a curve (r(x)) and its ...
calculus - Find the equation of the tangent line to the curve y=sqrt(x) at x = c...
please help; calc - original curve: 2y^3+6(x^2)y-12x^2+6y=1 dy/dx=(4x-2xy)/(x^2+...
calculus - Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 . a. Show ...
Calculus - Please help this is due tomorrow and I dont know how to Ive missed a ...
Calculus - Consider the curve -8x^2+5xy+y^3=-149 1. Find Dy/dx 2. write an ...

For Further Reading

First Name:
School Subject:
Answer: