<p>So I'm taking the math level 2 on June 4th, and got a study book for from a friend yesterday...
The first ten problems are pretty basic, but then:
13. Find the area between the graph of f(x) = 2x^3+3x^2+x-1 and the x axis from x=0 to x=4. </p>
<p>and </p>
<ol>
<li>Find the length of the line segment shown below from x=0 to x=4.
(Graph shown, but equation given is f(x) = 4x^2-7x-3</li>
</ol>
<p>Aren't these beyond the scope of Math II?</p>
<p>What book are you using? #13 looks like the area under a curve (namely, an integral) question. Odd. It has been a while since I've taken Math II, but I don't remember seeing things like that. I would suggest using Barron's.</p>
<p>They are far beyond Math II. Integrals/Derivatives will NEVER be on it. </p>
<p>Now, something some students don't learn before Calculus is evaluating limits. They can be on it occasionally. But they give you easy ones, all you do is plug the number into the expression and factor/cancel if needed.</p>
<p>Ex:
<a href="http://www.wolframalpha.com/input/?i=lim++x%5E2%2B6+as+x-%3E4">http://www.wolframalpha.com/input/?i=lim++x^2%2B6+as+x-%3E4</a></p>
<p>There, you just plug it in because there is no division by 0.</p>
<p>But here:
<a href="http://www.wolframalpha.com/input/?i=lim+%28x%5E2-4%29%2F%28x-2%29+as+x-%3E2">http://www.wolframalpha.com/input/?i=lim+%28x^2-4%29%2F%28x-2%29+as+x-%3E2</a></p>
<p>If you plug 2 in, you get 0/0.
So, factor and cancel. You then just get x + 2, which you can plug 2 into easily.</p>
<p>That is as far as the test gets.</p>
<p>Both of those (area under curve/arc length) are AP Calculus material and won't show up on the Math II exam.</p>
<p>I took the Math II test in May and I swear remember a question about area under a curve. I think some people actually learn it in PreCalc, but I didn't. Though I might be wrong, it was a drawing of a curve with shaded blocks under the curve, and I think it was asking for the area.</p>
<p>^The only conceivable area under curve problem that I could imagine on the Math II test would be if the area is made up of geometric shapes. Instead of integration, basic area formulas could be used to find the area under curve.</p>
<p>In that same vein, I had a volume of a solid of rotation on my Math II test in June 2010. However, the solid of rotation was a cone, so non-calculus students would just use the volume of a cone formula (while calculus students could use the formula for volume of a solid of rotation).</p>