Official AP Calculus Thread for 2009

<p>Hmm. what about #26 on the practice exam:</p>

<p>The coefficients of the power series (sum n=0 to infinty) a(sub n)(x-2)^n satisfy a(sub 0)=5 and a(sub n)=((2n+1)/(3n-1))(a(sub n-1) for all n >=1. The radius of convergence of the series is…</p>

<p>0 2/3 3/2 2 infinite thankss!</p>

<p>3/2 is the answer do the ratio test, but instead of looking at An = [constant]An-1, use the trick that An+1 = [constant]An when evaluating.</p>

<p>Answers are at the end of the test anyway…
I think he wants an explanation</p>

<p>CCAPCALCREVIEW (AIM chatroom)</p>

<p>"fhg My teacher said we can have programs. "</p>

<p>My teacher said the don’t check the calculators.</p>

<p>^^ how? 10char</p>

<p>not you, sorry. IGNORE this post. my bad ~_~</p>

<p>What do you mean, WantIvy? All that means is they don’t check/clear your memory…</p>

<p>for the series in FR, like for a third degree polnomial, can we just write 5! instead of 120?</p>

<p>can you invite me to the chatroom
my sn is:
thatguy322kl</p>

<p>f^n(0) = ((-1)^(n+1))/(n-1)^2
when n=1 the denominator equals zero but how come f’(0) equals to zero?</p>

<p>Yes, 5! is fine. If not better because it shows the pattern…</p>

<p>Where are you getting a power series with a third degree and 5!?</p>

<p>The power series of a polynomial is the polynomial…</p>

<p>In FR, when they just say find the value for x, can you just give the answer or you have to add some explanations?</p>

<p>Can anybody explain to me the FULL importance/difference between the Average Value Theorem and the Mean Value Theorem?</p>

<p>In other words, can we simply put the answer like the answers from collegeboard’s official answer? Like super concise but gives one line explanation + values?</p>

<p>how do i use calculator to solve polars like -2= Θ+sin(2 Θ)?</p>

<p><a href=“College Board - SAT, AP, College Search and Admission Tools”>College Board - SAT, AP, College Search and Admission Tools;

<h1>2 part c. please explain</h1>

<p>@ natim1 - abs max must occur when rate of change goes from inc to dec, or at end points of interval. you must test all 3 and show work.</p>

<p>How do you represent a point that’s undefined in a slope field?</p>

<p>no line 10char</p>