we did disks and washers most of the week today. I forgot about the blog post so i'm doing it Sunday as much as i personally don't see the point of these. What i like about senior year for me is that I'm only have one real exam sometimes two per trimester. The only core classes i have are Math and English. I believe this trimester Mrs.Johnson only gives a paper to write for an exam so if that's the case then the math exam is the only thing i would have. I'm actually going to study pretty hardly for the math exam. and hopefully the Mastery's can be graded and corrected on the grade book soon and the exam can give it a boost. I understand that i might be the worst in scoring on quizzes in that class but to be honest i just want my senior year to get over with and i'm worried about my math grade effecting it. Senior year i'm going for a 3.5 GPA. first trimester i got it and this trimester everything is an A other then math. hopefully like i said the mastery's would be graded soon. I am aware i might be a pain in the ass but honestly i appropriate you dealing and being patient with me :) Anyway with the section we are doing now. Honestly I kinda enjoy it. I've always enjoyed graphs in mathematics classes
You rely on deductive reasoning because for Deductive is the deduction from a fact, it’s accurate but on the other hand Inductive reasoning is the deduction from repeating pattern. You estimate and not positive of the exact number which gives it a less percentage of reliability on it as much. I think Fundamental Theorem the name was created when the person who founded the relation between the integral and the anti-derivative. The integration meant the area under a curve or between the curve and the x-axis. Fundamental theorem explained the anti-derivate being the same as the integration, which means we can find the area using the anti-derivative. Its implications would be deductive explanation. They both give the conclusion that can be drawn from something.
This week we went a little further with the subject. we found global extreme values of the functions as well. i realize that i've been weak on quizzes by looking at the results. but the good side to this is after i do the mastery. by the time the exam comes, i just know and find it so much easier. for example i struggled first trimester but exam i got an a-. i really think it's the best idea doing masteries on test and quizzes, because it just shows how it's all about the end not the mid, meaning by the time the second trimester exam comes i will be ready, i just feel calmer taking exams rather then taking the quizzes. even tho i know i can re-make the quizzes but not the exam. how? why? i'm not sure. just how my brain has been working the past trimester.i really dislike the subject of finding the time when the ladder touches the ground at this rate. it is useless in the real work because no one will use any equation like that in every day life. but, if you were someone like a detective or a cop. maybe all these equations will help you alot. robber killed this guy, he went up the ladder, the ladder is still in the same spot, maybe if you put everything together on what happened an equation like this will be very handful. but in daily life. sadly it won't be as useful as one might hope for. i like math that relate to daily life. i become interested when i know that i might be holding on to this for life. other then that i slowly shift, anyway that's about it for this log, next week is the last week before christmas break, so i am very very happy that it's very close, also nervous. if it's already christmas, i wonder how fast the graduation will be here. a few month can flash when there's stuff going on.This week we are doing something a bit more complicated than other sections. It has to do with a lot of dimensions, and 6 nice steps that i have memorized. Simple as Step 1: Draw what you read. if it says there's a balloon going up and it gives more and more details. Draw what you see but be general. if you know the height just write ' y ' for now. Step 2 is finding your equation, like i said, be general. use X Y Z if needed. Step 3 is to find the derivative of that equation. Step 4 is to organize and write down what we know, this when when we know what the height is replace ' y ' with the actual number. Step 5 is to plug it in, use step 4 of what we know to Step 1 of the general equation to plug it in, and last step Step 6 is to just solve for the unknown. As you said there are many times in real life when you know how to do this you can kind of figure out a lot of stuff that can happen and how fast and more details then knowing general knowledge. Whether it's on TV like a car chase, in reality you're not going to take the time to do it but you can figure out when the cop might either catch up with the speeding car or simple lose it with steps that were written above. Personally I can see why this would be helpful, but my general question is.. why? I mean, do we REALLY care when something like a Car Chase would catch up or is it impossible to find out over what happens in real life every second that can change, and whether it's an equation or not i personally do not think that will help you with anything knowing the ' outside ' world, Outside of set math problems. Maybe it's better to observe and see what happens not get in there and trying to figure out the future with math equations.
Alright so i finished writing my vlog thing but i ACCIDENTALLY right clicked and deleted. i got to re-type it up now. pretty much this week we did alot of finding numbers if we have the sum of 2 numbers and if their nonnegative for example, finding the sum of their squares is as large as possible ect.This week we found the derivative of functions like x^5-1/8x^2+1/4x. it's as simple as 5x^4-2/8x+1/4. we also found stuff like find f(x) with 6(3x^2=4)^2 xdx. answer resulting in 2(4x^2+4)^3 + c. something that i kept doing wrong was not putting the +c every time. but since we're doing it more and more that put + c in the end every time. It was all about the chain rule, U Substitution, and implicit differentiation. i never really know what to write in my blogs, for some reason my quizzes and tests i've been taken i haven't been doing good on them at all, why? i really do not know. usually all year round my math would be nearly an 'a' every time i take a test. this year, no matter how confident i am into taking it, i get bad results back, but luckily the key of MASTERS take place. im really not liking the f(x) xdx thing. implicit DIFFERENTIATION. i enjoy shapes as a whole. but some of the stuff is easy. the most recent quiz i didn't do good at all yet most of my answers are only half off or -.5 off. in a question on a quiz and test i recently get them right but get 1 thing that takes half a point off or something. for example. i did an answer to a question all right, in the end i put sec instead of tan. but everything else was correct. little things like that will take points to points off of the final results. another one would be finding the equation of the tangent like. i knew exactly 100% how to do it but -.5 because it wasn't as close as its suppose to be. that is not the teacher's fault at all, that is all my fault for messing up little things in each equation.This week in math class with learned about the chain rules and finding dy/dx. not only that but finding dy/dx' as well. for EXAMPLE finding y'' of y= cot(x). well, y'=-csc^2(x). so y''=-2cscx(-cscx)(cotx) which equals -2csc^2(x)(Cot)x. it's pretty simple, Finding the second derivative IMPLICITLY is something else we learned about.
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