<p>run it down lol</p>
<p>bump, someone post some practice probs lol and lets solve hahah</p>
<p>I'll pass on the practice problems. I'm on here trying to forget my hardly touched Barron's book. I'll study tomorrow.</p>
<p>please, hook some stuff up lol ive been through my practice packets</p>
<p>A particle moves along the y-axis with velocity given by v(t)=tsin(t^2) for t>_o. </p>
<p>a) In which direction (up or down) is the particle moving at time t=1.5? Why?
b) Find the acceleration of the particle at time t=1.5. Is the velocity of the particle increasing at t=1.5? Why or why not?
c) Given that y(t) is the position of the particle at time t and that y(0)=3, find y(2).
d) Find the total distance traveled by the particle from t=0 to t=2.</p>
<p>Suppose that the function f has a continuous second derivative for all x, and that f(0)=2, f'(0)=-3, and f"(0)=0. Let g be a function whose derivative is given by g'(x)=e^(-2x)(3f(x)+2f'(x)) for all x. </p>
<p>a) Write an equation of the line tangent to the graph of f at the point where x=0.
b) Is there sufficient information to determine whether or not the graph of f has a point of inflection when x=0? Explain your answer.
c) Given that g(0)=4, write an equation of the line tangent to the graph of g at the point where x=0.
d) Show that g"(x)=e^(-2x)(-6f(x)-f'(x)+2f"(x)). Does g have a local maximum at x=0? Justify your answer.</p>
<p>Let R be the region in the first quadrant under the graph of y=1/rt(x) for 4<_x< 9.</p>
<p>a) Find the area of R.
b) If the line x=k divided the region R into two regions of equal area, what is the value of k?
c) Find the volume of the solid whose base is the region R and whose cross sections cut by planes perpendicular to the x-axis are squares.</p>
<p>The rate of consumption of cola in the United States is given by S(t)=Ce^kt, where S is measured in billions of gallons per year and t is measured in years from the beginning of 1980.</p>
<p>a) The consumption rate doubles every 5 years and the consumption rate at the beginning of 1980 was 6 billion gallons per year. Find C and k.
b) Find the average rate of consumption of cola over the 10-year time period beginning January 1, 1983. Indicate units of measure.
c) Use the trapezoidal rule with four equal subdivisions to estimate int[5,7]S(t)dt.
d) Using correct units, expalin the meaning of int[5,7]S(t)dt in terms of cola consumption.</p>
<p>hey does anyone get the series stuff?</p>
<p>Dang, those problems are hard to read....I'll try them later though. Thanks for posting them.</p>
<p>anybody know anything about volume?</p>
<p>i know the disk (washer) method, but the "cylindrical shells" method throws me off.</p>
<p>anyone know when and how to use the shell method to find volume?</p>
<p>thx</p>
<p>My teacher told me that Calc AB don't recognize the cylindrical shells method...so just stick with washers and circles and stuff.</p>
<p>what about BC?</p>
<p>Shells is not on the test.
And washers and discs only show up for 1-2 of the problems.
For BC, Maclaurin/Taylor/Power series are stuff to memorize and do well on.
Also, parametric usually appears in many problems (not so much polar)</p>
<p>What about cross sections?</p>
<p>Anyone know the format of the free response?</p>
<p>i.e. for chem it was pretty complicated. like pick 2 out of 3 questions, 5 out of 8 equation things, etc.</p>
<p>Property: Differential of Volume for Cyndrical Shells
dV = (circumference)(altitude)(thickness) </p>
<p>Example: The region under the graph of y=4x-x^2 from x=0 to x=3 is rotated about the y-axis to form a solid. Find the volume of the solid by slicing into cylindrical shells.</p>
<p>dV=(circumference)(altitude)(thickness)
dV=2(pi)(x)(y)(dx)
dV=2(pi)(x)(4x-x^2)dx
dV=2(pi)(4x^2-x^3)dx
V=integ[0,3](2(pi)(4x^2-x^3)dx
V=98.96... </p>
<p>*Just graph this and see if the rest makes sense.</p>
<p>It's in 2 groups of 3 questions, and you "have to" do them all. One section you can use a calculator, one section you can't. And there are usually multiple parts to each question.</p>
<p>Yeah, cross sections usually shows up in one MC and sometimes one FR</p>
<p>so.......... shells is on the test?</p>
<p>when do u use shells and when do u use discs?</p>
<p>thx</p>
<p>lolz lots of problems are these calculator active questions? well imma use it anyways</p>
<p>first problem
A) my calc broke , it wont graph lol
B)acceleration = -2.048 and velocity is still positive but slowing down because acceleration is - and velocity is +, its decelerating
C)3.26
D) .826 ?</p>
<p>im reformatting calc, sorry if i did badly i was in a hurry, lotta immigration protestors like couple blocks away on wilshire right now, lol like 1million hispanics and lotta helicopters, makes me wanna join the parade lol</p>
<p>also, are the disc and shell methods 2 different ways to do the same thing? Can i only disc, instead of shell?</p>
<p>thx</p>
<p>thanks Joanna! Also, do you happen to know what type of questions they might be? Thanks!</p>
<p>calpenn: From what I've done, they can solve the same thing...I can do both I think, but I feel more comfortable with disks so I'll be sticking with those.</p>
<p>Correct me if I'm wrong anyone but if you use the cylindrical shells, do the AP graders take points off or something?</p>