this week was crunch time. we had the intense holiday packet to do and while doing it i was able to pick up on substitution.
substitution
Substitution takes the place of the derivative rules for problems such as product rule and quotient rule. The steps to substitution are:
1. Find a derivative inside the interval
2. set u = the non-derivative
3. take the derivative of u
4. substitute back in
Also something that i understand in calculus is intergration.
intergration is basically setting the derivative back to the origianl equation
you add one to the exponent and then multiply the term by the reciprocal of your exponent.
for instance - x^2 is 1/3x^3
one thing that i dont understand fully is mRam. I understand the process for the most part for lRAM and rRAM but mRAM i just dont get. I get lost and am not to certain of the steps.
Subscribe to:
Post Comments (Atom)
MRAM is just the midpoint, but to find this you still have to do LRAM and RRAM.
ReplyDeleteyou add the numbers together after you do lram and rram and then plug in.
mram isn't exactly difficult, just long.
ReplyDeleteyou have to first do lram and rram, which you know how to do as said. You just find the mid point there after and then plug in
When dealing with MRAM, you have to find your delta x first, which is b minus a divided by how many subintervals you have. Next, you will add your delta x to your a point until you get your b point. After that you have to find the midpoint of the numbers you found. To find the midpoint, you have to add two of the numbers and divided by two. You do this for all the numbers you have. THen you plug them into the f function and plug them into the equation. Once that is done, you times it by your delta x and thats your answer!
ReplyDeleteOk, so MRAM can be confusing. I didn't understand this for a while, but once you understand what to put in the formula, it's really easy.
ReplyDeleteThe formula for MRAM is this:
x[f(mid) + f(mid) + ...]
-the number of subintervals is always n
-x = b-a/n
Say you have this problem:
Find the area f(x) = x-3 on the interval [0,2] with 4 subintervals
n = 4; a = 0; b = 2; x = 1/2
Before you plug into your midpoint formula, you first have to find the numbers that you are finding the midpoints of. You will start off with a and end with b. You do this by: a, a+x, a+2x,...
For this problem, the numbers would be
0, 1/2, 1, 3/2, 2
Now you take find the midpoint of these numbers:
1/4, 3/4, 5/4, 7/4
These midpoints are the numbers you plug into your formula. Hope this helps
This formula can be confusing. Just remember it's the midpoints of the numbers that you plug into the formula. To get the midpoints you start with a and add x until you get b. You then find the midpoint of these numbers and plug it into your equation.
ReplyDeleteThis formula can be confusing. Just remember it's the midpoints of the numbers that you plug into the formula. To get the midpoints you start with a and add x until you get b. You then find the midpoint of these numbers and plug it into your equation.
ReplyDeleteMRAM is when you have to find your delta x first. that is b minus a divided by how many subintervals you have. Next add your delta x to your point until you get your b point. After that you have to find the midpoint of the numbers you found. when finding midpoint, you have to add two of the numbers and divided by two. You do this for all the numbers you have. THen you plug them into the f function and plug them into the equation. when finished with that , you multiply it by your delta x
ReplyDeleteSince you already understand the steps you just got to remember to get your right numbers for LRam and Rram and Mram and do your work right
ReplyDeletedo lram and rram then plug in mram which is your midpoint
ReplyDelete