Advanced Math

Chief Editor

Mar 23, 2024

Take all 3 MCQs in interactive quiz mode with timer and progress tracking

An oceanographer uses the equation $s=\frac{3}{2}P$ to model the speed $s$, in knots, of an ocean wave, where $p$ represents the period of the wave, in seconds. Which of the following represents the period of the wave in terms of the speed of the wave?

Difficulty: Medium

p=\frac{2}{3}s

p=\frac{3}{2}s

p=\frac{2}{3}+s

p=\frac{3}{2}+s

The function $f$ is defined by $f(x)=\frac{1}{6x}$. What is the value of $f(x)$ when $x=3$?

Difficulty: Easy

\frac{1}{3}

\frac{1}{6}

\frac{1}{9}

\frac{1}{18}

If $x^{2}=a+b$ and $y^{2}=a+c$ which of the following is equal to $(x^{2}-y^{2})^{2}$?

Difficulty: Medium

a^{2}-2ac+c^{2}

b^{2}-2bc+c^{2}

4a^{2}-4abc+c^{2}

4a^{2}-2abc+b^{2}c^{2}