<p>first one = avg value</p>
<p>2nd = avg rate of change</p>
<p>The Mean Value Theorem
If y=f(x) is continuous at every point of the closed interval[a,b] and differentiable at every point of its interior(a,b), then there is at least one number c between a and b at which</p>
<p>f'(c)(b-a) = f(b)-f(a)</p>
<p>this was on a free-response question last year along with the average rate of change</p>
<p>it was a question on traffic flow</p>
<p>If function is both continuous and differentiable on the interval a to b, and--if f(a) = f ( b)--there must be some c on the interval such that f ' (C) = ZERO.</p>
<p>YEAH!!!!!</p>
<p>eh, I've given up on math since doin multivariable calc</p>
<p>just get to stokes, divergence and green's and all the little inance applications</p>
<p>vector fields
integrating in parametric/polar/rectangular coordinates</p>
<p>etc etc</p>
<p>I hope to NEVER take math again</p>
<p>A particle moves along the x-axis so that its position at any time t, where t>0. is given by v(t)=9t^(2)+9ln t. What is the acceleration of the particle at time t=3?</p>
<p>Ans: 17</p>
<p>Everyone, know logistics and lagrange! There were a bunch of ppl on CC last year that said they probably wouldn't be tested and they both were on the free response!</p>
<p>What is the greatest possible area of any rectangel that can be inscribed in the region enclosed by the graph of y=12-x^(2) and the x-axis, if the base of the rectangle is on the x-axis?</p>
<p>Ans: 32</p>
<p>r u guys remembering taylor sequences for specific functions or der of things like tan</p>
<p>is there still anyway i can drop back from bc to ab; what if the administrator has an extra test because someone was absent?</p>
<p>Just take BC. There is an AB subscore and you'll do better than you think.</p>