Question #2a0d2

1 Answer
Oct 6, 2017

p=12 and q=16

Explanation:

The curve passes through (3,2) hence x=2 and y=3 should satisfy the given equation. This would result in the equation 2-6+6p +6q=0. On simplifying this would be p+q=23.

Next, differentiate the given equation w.r.t x. This would result in the equation dydxxdydxy+2p+3qdydx=0. In this equation put x=3. y=2 and dydx=23, to get

233(23)2+2p+3q(23)=0 Or, pq=13

Solving the above two equation with p and q, the outcome would be p=12 and q=16