Answer to Question #230073 in Physics for Kent

Question

What suitable functions of P and Q which could be plotted against each other to obtain straight line graphs in the following cases: (a) Q = a P^n. (b) Q^m = a P^n. (c) Q = a b^p (d) Q^2 = a(P^2 - b^2)/P (e) Q = a p + b + p^2.

Answer 1

a) $Q \space vs\space P^n$

b) $Q^m \space vs\space P^n$

c) $log_b{Q} \space vs\space P$ (obtained from applying the logarithm to the both sides of the $Q = ab^P$ ).

d) $Q^2 \space vs\space P-\dfrac{b^2}{P}$

e) $Q \space vs\space P^2 + aP$