calc bc question. please.

Test Preparation AP Mathematics & Computer Science
1

<p>Hey, can somebody please help me with the 2005 Form B AP Calc BC question number 4a?</p>

<p>i don't know why you have to do the "divide by 2 part". actually I don't get where the -3, -2, ad 3 come from either.</p>

<p>Thanks!</p>

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<p>please can somebody help me? I really don’t get it…</p>

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<p>I’m not entirely sure what your question is regarding the -3, -2, and 3 and where they’re coming from, because I’m not actually seeing all those numbers.</p>

<p>The link I’m looking at is: <a href=“College Board - SAT, AP, College Search and Admission Tools”>College Board - SAT, AP, College Search and Admission Tools;

<p>In question 4(a), most of the response provided there is relatively self explanatory, except for perhaps g(-1). There, they’re using the formula for the area of a trapezoid as h/2(b1 + b2), where h is the “height” of the trapezoid that traverses the distance between x = -4 and x = -1, and where b1 + b2 is the sum of the y-coordinates at x = -4 and x = -1. The integral is negative because the integral is finding the area of a region below the x-axis.</p>

<p>Not sure if we’re looking at the same question, though, based on your question.</p>

4

<p>oh thanks. yea i was looking at the right question but i had a different answer key thing so i got a little confused. Thanks for the explanation.</p>

<p>Can you help me with something else?
If you’re looking at a distance vs time graph (for a car)…and the graph is concave up, does that mean that the car is speeding up when the graph is increasing but slowing down when the graph is decreasing…or does it mean the car is always speeding up?</p>

<p>And also, if the graph is concave down, does that mean the car is slowing down when the graph is decreasing but speeding up when the graph is increasing or does it mean the car is always slowing down?</p>

<p>Thanks soo much in advance!</p>

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<p>anybody have any idea?</p>

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<p>If it’s a distance vs. time graph, then when distance is getting closer to zero, you’re getting closer to where you started.</p>

<p>So when the graph is concave up, you’re indeed speeding up when the graph is increasing and slowing down when the graph is decreasing. Of course, when the graph is increasing means when you’re traveling in one direction, and when the graph is decreasing really means when you’re traveling in the opposite direction.</p>

<p>Conversely, when the graph is concave down, you’re slowing down when the graph is increasing, and speeding up when the graph is decreasing. It’s the reverse of when you’re concave up.</p>