Question

Topic: \( Calculus \)
Problem: Part (d)
http://dl.dropbox.com/u/63664351/Calculus.PNG
Detailed explanation required.

Answer 1

for part a) differentiate implicitly and solve for dy/dx

Answer 2

For part b) use the result for a) and compute gradient for ax+by=1, so a=-b, substitute it in a), with x=p and y=q

Answer 3

@TuringTest @knock Thank you for your response. But I only need help on part d)

Explain, why if the straight line ax+by=1 is a normal to the curve \( \frac{a}{x} - \frac{b}{y} =1 \) , it is normal to the curve at the point (p,q).

Answer 4

sorry, I didn't read your post carefully enough :P

Answer 5

Do you think it is a mistake from the examiner?