Posted by **Drew** on Tuesday, November 16, 2010 at 6:18pm.

Find the x-coordinates of all points on the graph of y = x^3 - 4x^2 + 5x at which the tangent line is parallel to 2y - 10x - 7 = 0

- Calculus -
**Reiny**, Tuesday, November 16, 2010 at 6:50pm
the slope of the given line is 5

so find dy/dx for the cubic

and set that result equal to 5

you will get a quadratic which factors nicely.

let me know what values of x you got.

- Calculus -
**Drew**, Tuesday, November 16, 2010 at 6:54pm
I got x=10/3 and x=6

- Calculus -
**Reiny**, Tuesday, November 16, 2010 at 6:57pm
3x^2 - 8x + 5 = 5

x(3x-8) = 0

x = 0 or x = 8/3

I don't understand how you got your answers.

## Answer This Question

## Related Questions

- Calculus - Given the function y=(x^2-5/x+3), answer the following questions. a) ...
- calculous - 3.Given the function f defined by f(x)=2x^3-3x^2-12x+20 a.Find the ...
- Calculus - Find the x-coordinates of all points on the graph of y=x^3 - 4x^2 + ...
- Calculus - Consider the curve y^2+xy+x^2=15. What is dy/dx? Find the two points ...
- calculus - find all points at which the tangent line to the graph of y=x3 is ...
- Calculus - Find all points on the graph of f(x)=xe^x at which the tangent line ...
- Calculus - Find all points on the graph of f(x)=xe^x at which the tangent line ...
- Math--Calculus - Let y = f(x) be the continuous function that satisfies the ...
- Calculus grade 12 - find the coordinates of all points on the graph of f(x) = x...
- Calculus grade 12 - find the coordinates of all points on the graph of f(x) = x...

More Related Questions