please post calculus problems in the calculus forum ... the lobby is for introductions.
1. The curve C is given by the equation y=mx^{3}-x^{2}+8x+2, for a constant m
A) find dy/dx
The point P lies on C, and has the x-value 5
The normal to C at P is parallel to the line given by the equation y+4x-3=0.
B)find the gradient of the curve at C at P.
Hence find:
C) (I) the value of m,
(ii) the y-value at p.
Just really stuck on this question any help would be brilliant
Thanks.
Okay, what did you get for dy/dx?
So what are y and dy/dx when x= 5?The point P lies on C, and has the x-value 5
Are you asked to find m so that this is true? The slope of a line perpendicular to a curve, y= f(x), is equal to . What is the slope of the line y+ 4x- 3= 0?The normal to C at P is parallel to the line given by the equation y+4x-3=0.
Okay, that is dy/dx evaluated at x= 5.Find the gradient of the curve at C at P.
Hence find:
C) (I) the value of m,
(ii) the y-value at p.
Just really stuck on this question any help would be brilliant
Thanks.[/QUOTE]