SOLUTION: The equation of a curve is 3 4 2 y x x= + − . i Show that the equation of the normal to the curve at the point (3, 6) is 2 9y x= + . [4] ii Given that the normal meets the coo

Question 1209425: The equation of a curve is 3 4 2
y x x= + − .
i Show that the equation of the normal to the curve at the point (3, 6) is 2 9y x= + . [4]
ii Given that the normal meets the coordinate axes at points A and B, find the coordinates of the
mid-point of AB. [2]
iii Find the coordinates of the point at which the normal meets the curve again.

Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.

What is written in this post ?

RELATED QUESTIONS
The equation of a curve is y=3+4x-x^2. Show that the equation of the normal to the curve (answered by greenestamps)

The equation of a curve is y = x^2/(x+2). The tangent to the curve at the point where x = (answered by MathLover1)

Please help me solve this equation: 1. Determine dy/dx for y = x√x(5x^2 − (answered by Fombitz)

Find the equation of the line normal to the curve {{{y^2=9-24/(6-x)}}} at the point... (answered by Edwin McCravy)

A curve has the equation {{{y = (ax+3)ln(x)}}}, where x is greater than zero and a is a... (answered by Tatiana_Stebko)

Consider the curve y= 2/x with x>0. The normal to the curve at point P intersects the y... (answered by Fombitz)

Find the equation of the normal and tangent to the curve at the given point: f(x) =... (answered by Alan3354)

Find the equation of the normal to the curve y = �x^2 + 4x at:... (answered by solver91311)

Obtain the equation of the curve y=ax^2+bx+c,using the following conditions (i)... (answered by Fombitz)