<p>Hi,
Last year they made several study threads: AP Chemistry, AP US History, etc. One person posted a question and another person answered it and posted another question. I think it was really beneficial to me especially for AP Chemistry. I wanted to start another one this year but for AP Calculus. </p>
<p>I will start us off.
Here is the first question</p>
<p>If f and g are differentiable functions and h(x)=f(x)e^(g(x)), then h'(x)=
a) f'(x)e^(g'(x))
b) f'(x)e^(g(x))+f(x)e^(g'(x))
c) e^(g(x))[f'(x)+f(x)g'(x)]
d) e^(g(x))[f'(x)+1]
e) e^(g'(x))[f'(x)+g'(x)]</p>
<p>If you can't find the correct answer in there, it was probably a typo. Just type in the correct answer then.</p>
<p>you would take the limit as n--->infinity of $(o to a) e^(-2t)dt and get
-1/2e^(-2t) quantifying the integral would give u the lmit n---->infinity of
-1/2e^(-2t) + 1/2 thus the limit of this would be 0 + 1/2 giving you 1/2 as the final answer.</p>
<p>A particle is moving along the curve y=x^2 -x+1 with a speed of 3 units per second, its x-coordinate is increasing. The particle starts at the point (-2, 7). Let t be the number of seconds since it left that point.</p>
<ol>
<li> How long does it take for the particle to move to the point (-0, 1)?</li>
<li> What is the velocity of the particle when x = 1?</li>
<li> When x = 1, is the x-coordinate of the velocity of the particle increasing or decreasing? Justify your answer by including a graph of the function.</li>
</ol>