<ol>
<li>The only real x such that y = sqrt(-x^2) is a real number is x = 0. Hence the answer is B.</li>
</ol>
<p>4.
I is equal to (sin 2x)(1/(sin 2x)). Since x is not zero, sin 2x is not zero, so we can cancel sin 2x, leaving 1.
II is equal to sin 2x. Clearly this does not equal 1 for all values of x.
III is just the Pythagorean identity, this equals 1.
Therefore the answer is D.</p>
<ol>
<li>The population is multiplied by 1.1 each day. After 100 days, the population is (1.1)^100 ≈ 13781 times today’s population, E.</li>
</ol>