AB 6.
(b)(Review Chapter 7)(a) The differential equation is separable:If y = 0 when x = 2, then ; thus c = 3, and .
Solving for y gives the solution: .Note that is defined only if .
only if the numerator and denominator have the same
sign.Since the particular solution must be continuous on an interval
containing the initial point
x = 2, the domain is . (Review Chapter 9)
Since , the function has a
horizontal asymptote at y = ln 3. (Review Chapter 2)
* No question requiring the use of the shells method will appear on the AP exam.Diagnostic Test Calculus BC
The explanations for questions not given below will be found in the answer
section for Calculus AB Diagnostic Test. Some questions in Section I of
Diagnostic Tests AB1 and BC1 are identical.