Agh, I’m freaking out, but I’m still perplexed on how 50% of people get a 5 on this exam? Is it really that easy?
How many points can you lose on the FRQ and still get a 5?
@Frigidcold it’s used to approximate a solution (you can choose x1 to be a random number or they give it to you, and you plug it in to however many times the question asks you to)
@meliwazhere The 50% 5 rate is because the exam is self-filtering, meaning qualified and confident people normally go for BC over AB.
It depends on your multiple choice grade. I would say a rules of thumb is around 67%, though.
@garyasho2 Basically IVT states that if a function is continuous (on the closed interval) and the endpoints are a and b, then all (y) values between a and b will appear on the graph at least once.
MVT states that if a function is continuous on the closed interval and differentiable on the open interval between the points a and b,
then any given point c will satisfy this: f’©=(f(b)-f(a))/(b-a)
Basically the slope of the tangent line at c will equal the slope of a secant line between a and b.
Linear Approximation is when you want to approximate a value and know the slope and other points.
Let’s say you want to find f(x) but you don’t know it. You know the value of f(a) and the slope of the tangent line f’(a)
So, f(x)=f(a)+f’(a)*(x-a).
Sorry don’t know what differential approximation is. Could somebody explain?
Also, for area between polar curves, how do you determine which polar graph goes first, like which one to subtract from which?
Differential approximation is where you have the derivative to find a change in dy to approximate a value
f(a + delta x) = f(a) + f’(x)dx
@rdeng2614 you do the polar graph that is on top of the smaller one (the top - the bottom)
@rdeng2614
There probably is a better way, but if I can’t eye it, I just plug in a few values. Or graph using your calculator.
@rdeng2614 You don’t subtract anything inside the integral. The formula is 1/2 integral from a to b of r^2.
Ugh I’m just worried about volumes… Shell method vs. Washer Method will kill me the only thing that I know is that they are opposite of each other - if dx is shell then dy is washer and vice versa
@garyasho2 99% sure all of the volumes are solved using washer.
@Frigidcold So it won’t ask you to specifically use the shell method?
Does the ratio test determine the radius of convergence?
@Kazoo98 Yes it does, you do the ratio test and set it less than 1… remember to not forget the absolute value too
@garyasho2 It it less than one for everything? Independent from the actual center?
@garyasho2 Not that I know of. Of the 5-6 volume problems I’ve done, they’re all easily solved with washer.
@kazoo98 Correct
@Kazoo98 Yes, (the radius won’t always be one bc there will be coefficients that change it)
@garyasho2 What coefficients would affect it?
@Kazoo98
All coefficients affect it.