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Ish Math Test Prep Double
Registrace 19. 06. 2020
Everything relevant for Math (and, now Chemistry) test preparation videos "on the double", or as one would say, "on the go"!
Please note that I am not a professor by profession. This applies to all videos that I post.
For education only, no intention to monetize this channel.
Content more aptly suited for high school students.
Started (video uploads): 9/17/2022
Please note that I am not a professor by profession. This applies to all videos that I post.
For education only, no intention to monetize this channel.
Content more aptly suited for high school students.
Started (video uploads): 9/17/2022
Enjoyable synthesis of 1,3 -Dibromobenzene
On aniline when the the sulfonic acid is added as the blocking group, it can attach both ortho or para to the amino substituent of Benzene. And both products would likely be present. Practically one would separate the unwanted (ortho) compound away and proceed with the para compound.
#organicchemistry #synthesis #benzene #aniline #diazoniumsalt #bromo #nitro #sulfonicacid #chemistry #chemicalcompounds #reduction #electrophilic #ishmathtestprepdouble #ortho #para #functionalgroups
#organicchemistry #synthesis #benzene #aniline #diazoniumsalt #bromo #nitro #sulfonicacid #chemistry #chemicalcompounds #reduction #electrophilic #ishmathtestprepdouble #ortho #para #functionalgroups
zhlédnutí: 16
Video
What does this mean?
zhlédnutí 24Před 19 hodinami
#slope #tangentline #differentialcalculus #derivatives #ishmathtestprepdouble #calculus #functions #secant #linear #nonlinear #limits
From Vinegar to Alcohol (Synthesis)
zhlédnutí 29Před dnem
For educational purpose only; do not do it at home or your area and don't get drunk. Do not drink and drive. #aceticacid #ethanol #reduction #organicreactionmechanism #organicreaction #organicsynthesis #organicchemistry #chemicalsynthesis #carbonyl #nucleophilic #ishmathtestprepdouble #carboxylic #carboxylate #hydride #functionalgroups
Simplify this Expression!
zhlédnutí 32Před 14 dny
#trigonometric #trigonometricidentities #ishmathtestprepdouble #precalculus #calculusfundamentals
Putting Alkyl groups on Benzene (Friedel-Crafts)
zhlédnutí 18Před 21 dnem
#organicchemistry #benzene #toluene #alkyl #ortho #para #meta #lewisacid #chemicalcompounds #organicsynthesis #ishmathtestprepdouble #alkylation #friedelcrafts #resonancestructures
What is the Product of this Reaction?
zhlédnutí 41Před 28 dny
Predict and explain the product of this reaction. #organicchemistry #organicsynthesis #alkene #benzene #additionreaction #carbocation #resonancestructures #resonance #pielectrons #bromine #halide #ishmathtestprepdouble #chemistry #chemicalcompounds #chemical #markovnikov #electronegativity #nucleophilic
Electrophilic Aromatic Substitution (methyl & trifluoromethyl benzene)
zhlédnutí 45Před měsícem
Using methyl and trifluoromethyl groups on the Benzene as the basis for understanding the resonance structures involved and what favors ortho/para and what favors meta attack. Methyl (alkyl) groups on benzene ring are activating and involved in ortho/para attacks. Electron withdrawing groups (trifluoromethyl) are deactivating and involved in meta attacks. #benzene #electrophilic #aromaticcompou...
Enjoyable Synthesis of o-(tert-butyl) Nitrobenzene
zhlédnutí 36Před měsícem
Enjoy the synthesis of ortho-(tertiary-Butyl) NitroBenzene. #organicchemistry #friedelcrafts #markovnikov #electrophilic #additionreaction #alkenes #halide #benzene #sulfonation #nitration #carbocation #chemistry #chemicalcompounds #synthesis #organicsynthesis #ishmathtestprepdouble #transitionstate #tertiary #butyl #ortho #para #functionalgroups
Chemical Composition & Mass Calculation
zhlédnutí 23Před měsícem
Note there are multiple types of CFCs, and the one presented in this video is of a specfic type only. Other CFCs will have a different molar mass #molarmass #moles #mass #freon #CFCs #chemistry #chemicalcompounds #chlorine #ishmathtestprepdouble #chemistrytest #chlorofluorocarbons #greenhousegas #greenhousegases #factorlabelmethod
Dalton's Law of Partial Pressures (plus tip)
zhlédnutí 54Před měsícem
Why is the partial pressure of Neon less than that of Helium? Consider a gas under pressure and a certain temperature in a closed container. Some of that gas is in the liquid phase and some is in the gas phase. If the gas has a higher molecular weight than another gas under similar conditions, then it requires for each of its atoms/molecules, a higher level of kinetic energy to escape the liqui...
Trinitrotoluene (TNT), Easy Organic Chem synthesis
zhlédnutí 76Před měsícem
Educational video only. Educational purposes only. Learn the basic synthesis behind TNT. Note the sequence of nitration steps can differ slightly. #organicchemistry #benzene #toluene #trinitrotoluene #ortho #para #meta #nitro #chemicalcompounds #organicsynthesis #ishmathtestprepdouble #alkylation #friedelcrafts #resonancestructures #functionalgroups Do not try this at home!
Acid Comparisons of Modified Acetic Acid Compounds
zhlédnutí 37Před měsícem
Acid Comparisons of Modified Acetic Acid Compounds
Show Keq is affected by Temperature (mathematical perspective)
zhlédnutí 39Před měsícem
Show Keq is affected by Temperature (mathematical perspective)
Find Area of Square ABCD (given Diagonal & Area of shaded region)
zhlédnutí 76Před 2 měsíci
Find Area of Square ABCD (given Diagonal & Area of shaded region)
3 Valuable Infinite Geometric Series Sums Shortcuts! ∑(1/a)^n
zhlédnutí 36Před 2 měsíci
3 Valuable Infinite Geometric Series Sums Shortcuts! ∑(1/a)^n
Area Formula of Regular Octagon (derived)
zhlédnutí 60Před 3 měsíci
Area Formula of Regular Octagon (derived)
The Factoring Technique behind such (x^4 + y^4) forms
zhlédnutí 117Před 4 měsíci
The Factoring Technique behind such (x^4 y^4) forms
Factor Fully! (not as easy as assumed)
zhlédnutí 110Před 5 měsíci
Factor Fully! (not as easy as assumed)
Express Quantity as a single Logarithm
zhlédnutí 66Před 6 měsíci
Express Quantity as a single Logarithm
Comprehensive Partial Pressure Problem (algebra-based)
zhlédnutí 21Před 7 měsíci
Comprehensive Partial Pressure Problem (algebra-based)
Does Hydrogen Ion Exist in Solution? Why or why not?
zhlédnutí 115Před 8 měsíci
Does Hydrogen Ion Exist in Solution? Why or why not?
Rising Sea Levels (what does Science say?)
zhlédnutí 64Před 8 měsíci
Rising Sea Levels (what does Science say?)
Oh, thank you so much for explaining.
@@MariaPerez-lg4yo very welcome!
it was something new for me and I liked it.
@@toffeetoe8939 that is 👍 👌
Interesting!
@@FoodeliciousKitchenbySabaish 👍👍👍👍
now get what the derivative comes from....and slope of a function at a particular point.
@@FoodeliciousKitchenbySabaish excellent 👌 👏
excellent video
@@toffeetoe8939 thank you
thank you
@@CutePlanting you are welcome 😊
@@ishmathtestprepdouble so is this mean basically let n and m be even numbers X^n+Y^m =(X^(n/2)+Y^(m/2)+√(2X^(n/2)Y^(m/2))) (X^(n/2)+Y^(m/2)-√(2X^(n/2)Y^(m/2)) in conclusion : (a+b)(a-b) a= X^(n/2)+Y^(m/2)) b= √(2X^(n/2)Y^(m/2)) ???
@@CutePlanting it's a lot that you wrote here in terms of a template. And as I glance over it , it seems my answer to your question is yes. Obviously with actual example it's easier to not miss out on the actuality versus using letters...
@@CutePlanting czcams.com/users/shortsN-xc8mFY6Mo?si=kgQmcS3ui5tWnlE6
@@CutePlanting czcams.com/users/shorts1f29AyCPcxY?si=qmHWkTfsuLLm5gTC
How do you go from step 2 to step 3? I lost where the +1 and +9 came from
@@SshopGamers_YT true, due to short time length I had to be brief with that.... I basically did the completing the square steps: For, x^2 - 2x, take -2x, divide it by 2 and then square it to obtain, x^2 -2x +1 For, y^2 - 6y, take the -6y, divide it by 2 and then square it to obtain, y^2 -6y +9 These new quadratic terns are now factored to get (x-1)^2 & (y-3)^2, the +1 and +9 go on other side of equal sign to give 10. I hope you got it?
@@ishmathtestprepdouble that helps, thank you!
@@SshopGamers_YT welcome, and yes when you "divide by two and square it", we are looking at the coefficient of the 'bx' term only, not the variable ( x or y).
FYI (this may help): czcams.com/users/shortsmcJ91CWRHAA
well demonstrated.....
@@toffeetoe8939 👍👍👍👍👍
Thank you for explaining further in the video info section; I needed it!
thank you, and welcome!
Good video.
@@toffeetoe8939 thank you
so a square cuts more corners than a triangle and a pentagon cuts more corners than a square. so in the limit a circle has an infinite number of corners and so wins the race over everything. QED.
@@benshapiro8506 makes sense. Good or bad, like Freud said, "sometimes a cigar is just a cigar".
...But I still do not like Chemistry!!
@@toffeetoe8939 it's ok.
Well-explained. I understood the material contrary to my own class work!
@@toffeetoe8939 thank you
Why does a triangle cut corners I don’t understand
@@neavendzonlagic2440 guess if you trace a triangle it has three vertices, like corners. Circle's just round. Or maybe don't overthink it...
They don't
This joke doesn't work in English.
You mean its not funny? or it lacks the punch line?
You can also set the whole thing to A, divide by x, square and get A back. Now you have A^2 / x^2 = A. After moving things about and cancelling you get A = x^2.
what? can u list every step I dont get it
@@hamayun1112 1) A^2 / x^2 = A 2) A^2 = A * x^2 3) A^2 - A * x^2 = 0 4) A * (A - x^2) = 0 5) A = 0 or A - x^2 = 0 Therefore: A = 0 or A = x^2 Looking at the infinite product in the video, anything greater than 1 to a power greater than zero is also greater than one, so each term is greater than one, so the product can never go to zero, and therefore A = x^2
Stated well!
Thank you very much!!!
thank you!
Apki drawing kharab h
@@user-sr1ux8qf6r I'll look into it in the morning...
Big brother u explained it the best
@@reduzumaki7674 thank you very much!
Nice work, but why go the long way round? At constant velocity there is no acceleration , so a = 0 . Therfore F = m times 0 = 0
Only in case someone lacks essentials here and needs the more thorough approach
Why is the Euler identity for sin over 2 here instead of 2i?
Because we are manipulating the definition of sinh(x) here where x = ln x. Should be no 'i' coming into the procedure, unless we actually solve for x, where based on the discriminant of the quadratic equation, imaginary solutions may come about.
Also the definition of sinh x has a 2 in denominator not 2i
You're thinking of the complex version of sin. But here is another expression for the hyperbolic sin sinh. But you are right, there is a relationshio between them
You are thinking of the complex definition of sin(x), where sin(x)=(e^(ix) - e^(-ix))/(2i)
0 is not a number, its a concept (the empty set) lorepresented by a number only when it suits the math
Good post. Appreciated!
A number is what we define it to be ... 0 is defined as a number for a long way already. Your comment makes no sense.
What is a number?
@@samueldeandrade8535 yes what exactly is a number 🤔
Please look at the sample paper: viXra:2402.0068 submitted on 2024-02-14 21:47:20 , Division by Zero 1/0 = 0/0 = 0 and Computers real.div: New Information and Many Applications then you will be able to divide the numbers and analytic function by zero with a natural sense and you will find a new world. Indeed, several computer systems use its convention already. Please see viXra:2402.0068 submitted on 2024-02-14 21:47:20 , Division by Zero 1/0 = 0/0 = 0 and Computers real.div: New Information and Many Applications In Snowflake DIV0: This function performs division similar to the division operator (/), but instead of reporting an error, it returns 0 when the divisor is 0. I think the division by zero is very fundamental and important in general people. 2024/01/06 - ゼロ除算(divide by zero)とは、ある数を0で割ること。数学では定義できない計算と解釈され、コンピュータ上では実行不能としてエラーを生じたり、無限 .. ゼロによる除算エラーの処理 IBM www.ibm.com › docs ゼロによる除算は、「Query ファイルのオープン (OPNQRYF)」コマンドではエラーとみなされます。 ただし、ゼロの結果を受け取り、ゼロ除算エラーを防ぐことができます ... ゼロによる除算エラーの処理 最終更新: 2021-04-14 2024.4.20 Microsoft Excel に ゼロ除算採用1/0=0の兆しが見える。 下記、#DIV/0! の代わりに 0 または "値なし" を表示し、 の部分です。ゼロ除算は考えてはならないが 数学界の常識ですが、ゼロ除算が現れたとき、 間違い、 解なし、計算機が止まるなど、 不便な状況が起きて居た。近年、1/0=0 が広く採用されるようになってきた。ゼロ除算にゼロを返すは、厳格数学で、自然な意味での拡張された分数でそうなりますが、 便利だからという理由で多用されるようになってきた。意味合いとしても、ゼロで割るは 考えてはならない、 不可能である、そのような場合ゼロで表すことが良いことが 広範に分かってきた。ゼロの意味の発見です。Coq, Lean,IBM 等は 更に深い理解で、ゼロ除算が利用されている。 Microsoft Excelは 便利だからの理解で、 弱いようである。2024.4.20.11:35 2024.2.24.5:36 2024.3.7.06:04 2024.3.31.8:50 2024.4.12.9:28 2024.4.17.6:54 2024.4.20.15:6
Ok!!!
How do you find theta?
In the academic setting (test) it would be provided, but, If you start with two equal sized circles, overlap them, connect the centers of each circle to the top and bottom points of overlap, the sectors are created, as you can picture this in your mind. To determine the angle subtending that sector requires any of several geometric procedures, one being as simple as using a protractor to determine angle and converting to radians. The radii can be extended to allow for protractor to be fitted. However, one can also connect centers of both overlapped circles with a segment, extend up or down (from midpoint of overlap) to points of top or bottom overlap and generate right triangles and then use right triangle trigonometry to determine the theta. The legs of right triangle would be measured easily, one being simply the midpoint of segment connecting both circle centers. Measuring segment from top to bottom overlap points, and the midpoint of that, will give measure of the other leg. The angle determined would be half the measure of theta, and then multiply by two to get full measure.
Thanks, really helpful!
@@wang1918 sure thing!
I LOOOOOOVE MATH😊
Excellent! :)
excellent!
thank you
You're explaning it very 😊nicely
Thank you much!!!
Nice
😊 thank you!
Thank you for the demonstration. Here are my notes: 1. The problem isn't expressed properly. We don't start with the knowledge that the expression is equal to 0 and we have to solve for y; that's something that was seemingly assumed later on. 2. Calling this the common logarithm, which is base 10, is incorrect. This is actually the natural logarithm, which is base e. 3. There is no reason to split up the exponent in step 1. It could've been kept as-is and brought out of the logarithm in one piece. In fact, if one simply knows that a logarithm and exponentiation with the same base are inverses, and that the natural logarithm is a logarithm with base e, then one doesn't need the product, quotient, or power rules at all: ln(e^(x + 2) / e^y) = 0 ln(e^(x + 2 - y)) = 0 x + 2 - y = 0 x + 2 = y The purpose of the exercise is to demonstrate the aforementioned rules, but I believe that the exercise would work better for this purpose if students are actually required to use those rules. To this end, the exercise may be rewritten with each exponential expression having a different base, possibly with the introduction of another variable to prevent simplification. For example: ln(2^x * 3^t / 5^y) = 0
Duly noted 👍👍👍
When did ashwag learn math?
What's an "ashwag"? 🤔 or was it a typo..
@@ishmathtestprepdouble ah okay, it's another youtuber. You sound exactly like him
@@grimmmunchkin oh!! For a moment I thought it was some trendy slang or acronym and I was feeling out of touch with modern lingo! 😅
“How do you demonstrate this?” Brother, that is the DEFINITION of i, no demonstration needed
Ok! 👍
No, the definition of i is a number who's square is -1
@@hpermutation4439 👍 👍
@@hpermutation4439 yes, so by square rooting both sides i = sqrt(-1) by definition.
I don't get the "do a substitution u", what's that and where did the rest go
This radical expression can be solved in the traditional way and in this other way, an alternate way as I am demonstrating here. Which requires a substitution to drive the process and make into a Quadratic equation, which then can be factored.....do you need a video which demonstrates the two routes in a slower side by side comparison?
@@ishmathtestprepdoubleplz
Thank you sir.
You are welcome!!
ok!! never thought of this approach; always did it by eliminating the parameter by using a trigonometric identity.
True. There are other ways as well!
X has to be a natural number if you write it that way
The index of root must be a Natural number?
no?
8^1/x = 8^-2
Works!
This supposedly amazing equation is kind of a hack because it's not in its simplest form, which is the e^i*pi = -1
You are right, the 0 is artificially brought in by pushing the -1 to other side!
What a coincidence! We just covered this in class today :)
Well I am happy for you, sincerely I am!
Prove eulers identity
I already did in my other channel, here is the two videos links for the 2 different approaches used, in the longer video, the derivation/proof is at end of video..... czcams.com/video/v_NvjqYAl-E/video.html czcams.com/video/T4UtzP4Gerw/video.html Let me know if links did not work!
you do it with taylor series for sine, cosine and e
@@hornkneeeee very true, if you scroll through this playlist you will find videos on just that: czcams.com/play/PLNmf_rc0NI111NQMGSzv7F_-CeY5e4bsq.html
The lack of limits hurts my brain
Some like em, some do not, some prefer to see limit questions solved without the hint of limits or even the sight of Limits! That is, solved in a way other than limits....I see that all the time in students uninterested in calculus.
I know this video is not meant to show a proof, but I feel it isn’t much of a verification either. The distance formula is just a re-written version of the Pythagorean theorem, so using one to verify the other seems strange
Your point is well-noted.
Came to say the same thing, it’s kinda like saying that 2+2=4 is true because 4-2=2 It’s certainly true, but it’s not really even close to proof.
And I would agree, as I had in hindsight.....I believe with that original comment!
Wow!
Thank you much.
You can't just completely factor out the exponents?
The factoring has to occur in the manner shown as the procedure is governed by laws of exponents, main one being that, a^m * a^n = a^(m+n)
Wow pretty cool
Thank you very much
Yay
:)
256
Great
Omg the school seems so far away 45 years ago….. great to exercise math for keeping the brain functioning al old age! Thank you .
Yes it is very easy to forget all this, I know from personal experience
Excellent exercise. This is something was not teach in the school 45 years ago when went to elementary
Thank you for your comment!!