From kindergarten through high school, the mathematics education in public schools in the United States has historically varied widely from state to state, and often even varies considerably within individual states. With the recent adoption of the Common Core Standards by 45 states, mathematics content across the country is moving into closer agreement for each grade level.
I would like to take the derivative of the following function with respect to Gt:
$$\mathrm{G}_{t+1}=\mathrm{g}_{0}\mathrm{e}^{-qHt}$$
I think that the answer is either -1 or ##\mathrm{e}^{-qHt}-1##
If you could show the calculations that would be a great help.
Thanks very much.
In order to write next step in all four equations above l used the definition of radicals. ##\sqrt a=b## means ##b^2=a##. Squaring both sides also works. I don’t know if it’s right. I mean I read that ##(\sqrt a)^2=a##. But I don’t know if we can apply this on expressions.
Main problem is if we...
I am currently learning some maths from “Precalculus by James Stewart”.
I was wondering if that’s ok? Is it ok to just dive straight into it or go back and brush up my algebra 2 ?
I was wondering what are some good textbooks on algebra 2 by the way?
Thank you.
(This is all for the love of physics).
I'm trying to review some high school maths and work my way to Calculus and Linear Algebra, and I found these three translations of Japanese maths textbooks translated by the AMS and edited by Kunihiko Kodaira. The AMS links to them are:
https://bookstore.ams.org/cdn-1669378252560/mawrld-8/...
0
Let T: P2 (R) → P2 (R) be the linear map defined by T(p(x)) = p''(x) - 5p'(x). Is T invertible ? P2 (R) is the vector space of polynomials of degree 2 or less
Hi,
I'm currently having trouble getting past Algebra 2 at my college. I got local credit in Algebra 2 in high school. My current college major is Chemistry with an emphasis on materials science/engineering. I obviously need Calculus 3 and differential equations and my ultimate roadblock is...
Homework Statement
In my book, there is a formula that gives the amount (in grams) of Radium in a jar after t years (100 grams were initially stored):
R = 100⋅e-0.00043⋅t
The book asks me to sketch the graph of the equation. I decided to find a point where the time elapsed equals the...
Next year, I want to take AP Physics 1 but I am worried that it would be confusing since I would still be learning about Algebra 2. Is it recommended to do this?
Hello.
I am currently studying at a specialized mechanical engineering high school. I'm in my first (or 10th) year, as I've stated before.
I've done algebra I and algebra II, along with about one half of trigonometry (utilizing the trigonometric functions in practical problems, like splitting...
MENTOR note: THread moved from General Math
I just can get it
This problem has been driving me crazy for a week now
If\quad a,b,c\quad \neq \quad 1\\ Also\quad (log_{ b }{ a\cdot }log_{ c }{ a }\quad +\quad log_{ a }{ a })\quad +\quad (log_{ a }{ b\cdot }log_{ c }{ b }\quad +\quad log_{ b...
Homework Statement
No official problem, just a study guide fill-in-the-blanks with an extended simplification blank. Basically, no values were given, and it is a standard block on a standard slope with a north-east applied force pushing down on the block (not parallel to horizontal or vertical...
I am currently in year 9 (9 grade for those in US) and I have a really rusty and a weak math background. I have 2 months of summer holidays coming up. I should be done with pre algebra in mid December. During my summer holidays I have more than 50 hours a week avalible for study and I was just...
My situation is that I'm 17, and graduated high school early due to the CHSPE test. The only math I have any real knowledge of is algebra 1, since I forgot geometry and barely got into algebra 2 before I graduated. No books have worked, Gelfand's Algebra frustrated me exceptionally because it...
Hey PF, as my thread a week or two ago said I am currently planning on taking a college Calc and Analytic Geometry class with formal education only up to Geometry. I am very proficient in Geometry, good in algebra 1, have some experience in Trig and a little in Algebra 2. For this reason I was...
Hey, I am a freshman in High School and I have a very superior IQ but I am in normal classes. This is due to ADHD and I used to be lazy in school. Anyways, algebra 1 is VERY boring. I want to teach myself geometry, algebra 2, Pre Cal, and Calculus because I love math. Also I feel like it will...
Homework Statement
[/B]
a1b1/x1= a2b2/x2solve for x2
Homework Equations
no relevant questions apply, this is a stand alone review question
The Attempt at a Solution
[/B]
multiply times reciprocal to get rid of denominator on left
(x1) (a1b1/x1)= (a2b2/x2)(x1)
a1b1 = (a2b2x1/x2)
multiply...
So I made another post to explain my position, and I need to learn Algebra 2B this summer (The B part or second half) In order to test out of it next school year and then take trig. So I was wondering if anyone knew a good source to self teach algebra 2B, maybe an online course, or a website...
So, I want to teach calculus to my math club.
I know that differentiation and integration is easy. But how do I teach the CONCEPT of DERIVATIVES and INTEGRATION to people who only learned algebra 2?
Algebra 2 people because that's the bare minimum of mathematics you need to learn calculus...
Hi, I am wondering if it would be better to do Pre-Calculus online with the 2nd semester Algebra 2. Or take college algebra online with 2nd semester Algebra 2.
If I go the Pre-Calculus online with 2nd semester Algebra 2, my senior year I will be taking Calculus AB 1st semester and Calculus BC...
I am trying to learn algebra 2 by myself but I am having some troubles. I bought a textbook and was trying to learn the material just by reading the book and doing the exercises but I couldn't figure out how to do the exercises very well. So next I tried to use Khan Academy to help me understand...
I want to learn algebra 2 and trigonometry and was going to try to learn algebra 2 first then learn trigonometry after that. However after thinking I thought it would be more engaging to learn both at the same time. So my question is, should I learn algebra 2 first, then trigonometry, or...
I am a freshman in high school I would like to major on physics and most likely in mathematics in college so I figured it would be worthwhile to start learning more math. In school I am currently learning geometry and next year my class will cover Algebra II. I was wondering what would be the...
x = 3^6 * 2^12
y = 3^8 * 2^8
x^x * y^y = z^z for some integer z
Find z.
I took the log of both sides, but don't know what to do next (I'm not even sure taking log of both sides will produce anything).
Homework Statement
a glassblower can produce a set of simple gasses in about 2 hours. when the glassblower works with an apprentice, the job takes about 1.5 hours. How long would it take the apprentice to make a set of glasses when working alone?
Homework Equations
none
The Attempt...
I wanted to get ahead with my mathematics studies in order to learn more about physics, and the fact that I like mathematics. I received an Algebra 2 book (I'm taking it in 10th grade) to study throughout the summer. I'm still working on it, but I'm making sure to understand what I'm learning...
Homework Statement
A parallelogram's two sides are 24 feet amd 30 feet. The measure of the angle between these sides is 57 degrees. Find the area of the parallelogram, to the nearest square foot.
Homework Equations
area = 1/2 (a) (b) Sin C
The Attempt at a Solution
I'm thinking...
Hi everybody,
I wanted to know what the difference is between algebra 1 and 2.
The reason I'm asking is because I'm teaching myself mathematics and at moment I'm studying algebra 2 using study books. However, it seems that a lot of the material is a repeat of algebra 1.
Greetings,
Shawn
Sry, this will be the last question^^
Its a similar to the problem i ve postet before. Maybe if i can solve the first problem i can solve this to. But what i don't understand is that notation. I ve circled it with a red line.
Does anyone know what this means?
Thx
Mumba
1. If G is a finite group that does not contain a subgroup isomorphic to Z_p X Z_p for any prime p. prove that G is cyclic
im stumped. i don't understand the 'does not contain a subgroup isomorphoc to Z_p X Z_p part.
ive tried using cauchy's theorem for abelian group: if G is a finite...
Homework Statement
A small motel is to be built as shown in the sketch with two long walls y feet long each and 6 short walls x feet long each. The total length of the walls is to be 300 feet.
Let A(x) be the number of sq feet area taken up by the motel. Write the particular equation for...
I'm going to be taking Algebra 2 this semester (even though I should be much further along by now but a teacher screwed up several years ago :( ) and I'd like to get ahead. Can anyone recommend a good textbook for this OTHER than what the class will be using? (I don't know what they'll be using...
Alrighty then :smile:
I am working through Axler's LA Done Right. I have 2 questions for now:
1.) He uses some notation that is confusing me. When referring to \mathbf{R} \text{ or }\mathbf{C} as a set it is in BOLD but when he refers to a vector space as being the set V, it is not in...
What are the MUST COVER topics in Algebra 2?
I said this in the "Should calculus be taught in high school?" thread:
I've mentioned before that I'm a HS teacher (math and music) in a Catholic all-girls school in the US. This school year I taught Honors Algebra 1 and Honors Precalculus. Next...
Homework Statement
I have five questions on some review problems for our final I was given and I have forgotten how to do them. They are:
1) 3(sqrt(5-x)+1)-7=sqrt(5-x)+6
2) 2(64^x-2)=8(.25)^x+1
3) x-2-(4-x^2/x+2)=3x+7
4)-2A^-2+A^(-5/2)sqrtA+a^(-1/2)*a^(-3/2)
5)(3x^2y^7z^-2/12xy^8z^5)^2...
Use Descartes' Rule of Signs to analyze the zeros of the following. List all possibilities.
1. P(x) = x5 - 4x4 + 3x3 + 2x - 6
2. P(x) = -5x4 + x3 + 2x2 - 1
3. P(x) = 2x5 + 7x3 + 6x2 - 2
So I found these answers, are they right?:
1. P(x) = x^5 - 4x^4 + 3x^3 + 2x - 6
(3...
For each of the following polynomials, one zero is given. List all zeros of the polynomials.
1. P(x) = x^3 - 3x - 2, -1 is a zero
A. -1, -2
B. -1, 2
C. -1 of multiplicity 2, 2
D. -1, 1, 2
2. P(x) = x^3 - 6x^2 + 11x - 6 , 3 is a zero
A. 3, -2, -1
B. 3, 2 of multiplicity...
i have a function y=f(x) with three points;
A (1, 40)
B (3, 80)
C (5, 90)
the x model represents days. and the y model represents failed parts on an assembly line.
the question is: how many failed parts will have been identified 1 week from now?
I have no problem with doing the...
Homework Statement
having a little bit of trouble. some of the information is new to me. ill point out because I am copying this down from my notes.
let A & B define some linear function, y=f(x).
A = (1, 2), B = (6, 6)
C = (x, y), D = (x, y)
let (x, y) represent some arbitrary...
I just finished algebra 1 over this summer, pathetic I know. It's the price I got to pay for messing up in high school and taking two years off afterwards. I start Algebra 2 in the fall and I'm going to take PreCalc over winter break. Does anyone recommend any books or materials I can use to...
do you guys know of any good online textbooks for high school-level algebra 2/trigonometry? the only thing that google gives me is either algebra 1 or college level lecture notes.
how effective do you guys think online resources are for studying ahead
A problem on my homework reads like this:
The volume of a gas varies directly as it's temperature measured in degrees Kelvin and inversely as its pressure. When the temperature of a certain gas is 250 degrees K and its pressure is 76.2 cm of mercury, its volume in 750 cm cubed.
a) Find the...
SO...
I am a Soph. high school, taking Honors Algebra 2 class. I just got a progress report and it saids I am getting "F" (64%)...
i love math, and want to be good at it, because i really really want to become a Vet, and i know it is impossible without math and science.
What do u guys think i...