The following attachment is my question.

Rewrite the hyperbolic equation 4y^2 -9x^2 +54x-8y-113=0

Describe the end behavior of the function below. f(x)=(2/3)^x-2 a. as x increases, f(x) approaches infinity. b. as x decreases, f(x) approaches 2. c. as x increases, f(x) approaches -2. d. as x decreases, f(x) approaches negative infinity.

In the expansion of (2m-3n)^9 one of the terms contains m^3. determine the exponent of n in this term