<p>1 and 2) <a href="http://i1053.photobucket.com/albums/s480/desuetudes/41and42.png%5B/url%5D">http://i1053.photobucket.com/albums/s480/desuetudes/41and42.png</a>
3) <a href="http://i1053.photobucket.com/albums/s480/desuetudes/40.png%5B/url%5D">http://i1053.photobucket.com/albums/s480/desuetudes/40.png</a>
4 and 5) <a href="http://i1053.photobucket.com/albums/s480/desuetudes/38and39.png%5B/url%5D">http://i1053.photobucket.com/albums/s480/desuetudes/38and39.png</a></p>
<p>1.d
2.e
3.e
4.b
5.a</p>
<p>I think you got all those questions right. Good job :)</p>
<p>1) By the intermediate value theorem there has to be a zero between x=2, where the function is negative, and x=4, where the function is positive. d is the only answer choice in this interval.</p>
<p>2) Find the distance between the right angle drawn and city A. The smaller angle in this right triangle is 39 degrees since the airplane’s path is parallel to the ground. tan(39)=8/x, x=9.879. Similarly, finding the distance between the right angle and city B we get tan(27)=8/y, y=15.700. Their difference is 5.82 which is E.</p>
<p>3) Solving for x, ax-2x==a, x=a/(a-2), which is undefined when a=2 only which is E. If we were to substitute a=2, we would get 2x=2+2x or 0=2.</p>
<p>4) B must be true. It is saying when we replace x with -x, the identity must remain true. Since we are taking the absolute value of x, its sign doesn’t matter.</p>
<p>5) f(0,y,z)=(0,0,z) by the definition for f. g(0,0,z)=(0,z,0), again by definition. This is A.</p>