Sunday, February 27, 2011

Alaina's blog, 27 February 2011

So most of this week, we focused on our AP tests, which I like because its good practice for the real thing. But I'm having some problems with the APs.

First, sometimes the way the questions on the free response are worded, I don't exactly know what to do. So, for example, when a question tells you that g(x)=f '(x) and h(x)=g(x), and says to find g(x). What are you supposed to do?

So I guess I'll explain explain area if only one equation is given (area between the graph and the x/y axis) and the area between two equations.

a) area under the graph: you integrate the equation and use the Fundamental Theorem of Calculus, plugging in the two given x-values. F(b)-F(a) where b is the larger number and a is the smaller one.

B) area between two graphs: 1st: if the bounds are not given, set the equations equal and solve for the variable.
If you are not allowed a calculator, plug into the formula integral from a to b of top-bottom. Once you integrate, use the Fundamental Theorem of Calculus and plug in end points.
If you are allowed a calculator, graph the two equations in the calculator and use the intersect function.

These concepts are fairly simple, yet I struggle with them when it comes down to working problems involving them on the AP.
So I'm studying my key words sheets for the exammm! Good luck everyone!

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