Answers: Calculus II Prerequisite Review

    • (a) $1$
    • (b) $\frac{3}{2}$
    • (c) $e^4$
    • (d) $\frac{3^5}{5}$

  2. (Answer deliberately omitted. As a hint, consider log properties!)

  3. $f(n) = \frac{3n+2}{(-2)^n}$ (Other, equivalent answers may be found.)

    • (a) $\sqrt{1+x^2}$
    • (b) $\frac{-120}{119}$
    • (a)$\frac{1}{2} \left( \frac{\pi^2}{9} - \frac{\pi^2}{36}\right)$
    • (b) $\arctan(x+3)+C$
    • (c) $-\frac{9}{3} (9-x^2)^{3/2} + \frac{1}{5}(9-x^2)^{5/2} + C$

  6. (Answer deliberately omitted. As a hint, keep in mind that if $a\leq b$, it isn't necessarily true that $ax \leq bx$!)

  7. (Answer deliberately omitted.)