Post #28

yeah, so how about that dance last night huh!

so this week we took AP tests monday and tuesday, that will go in our binders under Princeton, number 2! .. right?

so here's what i know how to do:
number 1 - it's asking for g'(4) so, take the derivative and plug in 4 for x
number 2 - it's asking for the domain for a function so, set the inside equal to 0, solve for x, set up intervals, plug in to see possibilities, and then see what works!
number 12 - it's asking about the mean value theorem, so you use the formula: f(b)-f(a) divided by b-a and set that equal to the derivative, then solve for x!
number 13 - you plug in the point given and what you get when you take the derivative and solve for x is your absolute maximum
EXAMPLE:
*NUMBER 1 - g(x)=1/32x^4-5x^2
g'(x)=1/8x^3-10x
g'(4)=1/8(4)^3-40= -32
*NUMBER 12 - f(b)-f(a) divided by b-a all equal to f'(x)
b=5 a=3 f(b)=54 f(a)=3 f(x)=3x^2-5x+1 f'(x)=6x-5
51-3 divided by 5-3 = 48/3 = 16
set equal to derivative - 6x-5
16=6x-5 - - - solve for x
x=7/2

so here's what i don't quite understand:
number 6 - it's taking the integral, and i have the work for it but i'm not sure if i can do that on my own, can someone explain in detail?
number 11 - how do i get that to become sin?
number 24 - JUST EXPLAIN

GOOD NEWS IS THAT WE'RE OFF TOMORROW!!!
SEE EVERYONE TUESDAY!

~ElliE~