Homework Help: math grade 11

Posted by priya on Wednesday, November 3, 2010 at 11:54pm.

A quadratic function is defined by
f(x)= 3x^2+4x-2. A linear function is defined by g(x)= mx-5. what values(s) of the slope of the line would make it a tangent to the parabola.

math grade 11 - Bosnian, Thursday, November 4, 2010 at 2:40am
Slope of any function is first derivate of that function.

Quadratic function in your case have first dervate:

3*2*x+4=6*x+4

Linear function in your case have first dervate:

m

Line will be tangent of quadratic parabola when first derivates is egual.

m=6*x+4
m*x-5=(6*x+4)*x-5=6*x^2+4*x-5

3*x^2+4*x-2=6*x^2+4*x-5
3*x^2+4*x-6*x^2-4*x=-5+2
-3*x^2=-3 Multiply with (-1)
3*x^2=3 Divided with 3
x^2=1
x=+OR-(1)
x1=-1 , x2=1

Slope for x1=6*x1+4=6*(-1)+4=-6+4=-2

Slope for x2=6*1+4=6+4=10

S1=-2 S2=10

Answer this Question

Related Questions

math grade 11 - A quadratic function is defined by f(x)= 3x^2+4x-2. A linear ...
Calculus - A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx...
Calculus - A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx...
Algebra - Can you please help me with the following problems? Find the ...
Algebra2 - Complete parts a – c for each quadratic function: a. Find the y-...
Algebra Problems - Please check my answers. Find the coordinates of the vertex ...
Algebra - Today I did a practice SAT problem. If the function ƒ is defined...
Algebra - Please check my answers. Find the coordinates of the vertex for the ...
Algebra - Please check my answers. Find the coordinates of the vertex for the ...
College Algebra - Let g(x) = -2x2 + bx + c be a quadratic function, defined ...

For Further Reading

First Name:
School Subject:
Answer: