<p>rewriting the equation, you know that the tangent line is
y=-x+k
so the slope is -1.
take the derivative of the graph, so dy/dx=2x+3 and set it equal to -1.
2x+3=-1 so 2x=-4 so x=-2</p>
<p>insert -2 back into the graph so you get y=(-2)^2 + 3(-2) + 1
so y=4-6+1= -1 so now you have the point (-2,-1)
now insert it back into x+y=k and you get -2-1=k so k=-3
and the answer is (a)
I’m pretty sure that’s how you do it</p>
<p>lol I’m signed up for this test and I haven’t been doing homework all year I think I just s*** a brick when I looked up what that lawhatevar error bound was</p>
<p>^^ we are in the same boat, my friend… I’ve done the HW and have had an A in the class, but I’ve forgotten basically everything. 
So guys - anyone want to throw out a quick list of must-know topics? thinking mainly free response. Haha…</p>
<p>Lagrange’s Error Bound is just a fancy way of finding the difference between a Taylor approximation and the real value. If you have the Taylor approximation and the actual value at a certain x-value, all Langrage’s error bound finds is just the Taylor approximation-actual value. I would think that you can just subtract the 2 if it shows up on the FRQ.</p>
<p>lmao briangt
i actually have a really hard time spelling lagrange i’ve always spelled it lagrage
either way, the frqs i’m wishing that are NOT on the test are TAYLOR SERIES (hate these, and anything to do with them), and polar stuff. basically, bc topics. i didn’t pay attention at all first quarter (which is when we learned these), kid next to me talked too much…</p>
<p>You learned BC material during 1st quarter? What did you do for the rest of the year?</p>
<p>Almost always, FRQ #6 is a Maclaurin or a Taylor.</p>
<p>at my hs we have AB one year and BC another year. Since there is only one quarter of new material and we have 2 semesters to do it in… There is a lot of review… and a really slow pace when we do new material</p>
<p>Ehh I despise those problems with the water flowing out of a tank or whatever, it would probably be a good idea to review that, considering I haven’t done them since probably November. Anyone have a good example?</p>
<p>BC, 2003 #5</p>
<p><a href=“Supporting Students from Day One to Exam Day – AP Central | College Board”>Supporting Students from Day One to Exam Day – AP Central | College Board;
<p>Thank you!! 
If the most recent one was in 2003… I’d say that means there’s a very high chance for 2010… UGH.</p>
<p>I wouldn’t worry too much about Lagrange error honestly cause it’s one point most. I’ll try to learn how to do them but not freak out of I don’t understand completely.</p>
<p>I don’t know if the most recent one was 2003. Our teacher is just having us do this test, so I know it’s on there.</p>
<p>The BC 03 #5 is easy, not the kind that is like pumping water to the top of a conical tank and you have to find the total work done. those kill me, are they even on the test?</p>
<p>Work? I don’t think work’s part of the BC curriculum anymore. Water flowing out of a tank is almost always related rates.</p>
<p>That question is actually the easiest lol. I meant those ones where they give you really bizarre equations to work with.</p>
<p>Let h be a differentiable function, and let f be a function defined by f(x) = h(x^2-3). Which of the following is equal to f’(2)?</p>
<p>a. h’(1)
b. 4h’(1)
c. 4h’(2)
d. h’(4)
e. 4h’(4)</p>
<p>^what is the answer to that question? b?</p>
<p>Chain rule…</p>
<p>h’(x^2-3)<em>2x
h’(4-3)</em>4
4h’(1)</p>
<p>^thanks. 10char</p>
<p>@314159265
we basically covered bc topics that were not going to be on the ap test for the next two quarters…
in other words, pointless multivariate stuff…</p>