Mr. S Math
Mr. S Math
  • 229
  • 904 446
The Trapezoidal Rule : A Full Lesson : Approximating Definite Integrals : Calculus
The video provides a complete lesson on the Trapezoidal Rule from Calculus.
The following questions are presented and thoroughly answered:
* Why is the Trapezoidal Rule needed?
* What is the Trapezoidal Rule based on?
* How is the Trapezoidal Rule derived?
* How is the Trapezoidal Rule applied in an example problem?
0:00 Introduction
1:30 Why is the Trapezoidal Rule needed?
2:57 The basis of the Trapezoidal Rule
14:18 A derivation of the Trapezoidal Rule
22:20 Applying the Trapezoidal Rule in an example problem
28:15 Conclusion
Want to learn more about approximating definite integrals?
The Trapezoidal Rule - An example problem
ua-cam.com/video/02ZJl_Vmo1g/v-deo.html
Simpson's Rule - An example problem
ua-cam.com/video/28uJ0YfQhzs/v-deo.html
If you have any questions, feel free to ask in the comments section.
Переглядів: 83

Відео

What is the Probability of Winning a Three Digit Lottery??? (Your Odds to Win)
Переглядів 1 тис.5 місяців тому
To win a 3-digit lottery you must match three numbers between 0 and 9, when the numbers are drawn from three separate containers. What is your probability of winning??? In this video, I do the math to determine the probability of winning and discuss how much money you can expect to win (or lose) if you play a 3-digit lottery over the long term. If you have any questions, feel free to ask in the...
100 Trivia Questions (Art, Science, Geography, History, Literature, Music, Sports, and More)
Переглядів 496 місяців тому
These one hundred random general knowledge trivia questions include questions from a wide variety of topics - some easy, some difficult. Question categories included: Art - Astronomy - Biology - Botany - Chemistry - Dates - Earth Science - Food & Drink - Geography - History - Human Anatomy - Literature - Mathematics - Miscellaneous - Music - Mythology - Physical Science - Quotations - Religion ...
How to Solve a System of Three Equations With Three Variables - Substitution Method
Переглядів 996 місяців тому
The ability to solve a system of equations using the substitution method is an important part of mastering algebra. In this video, I solve a system of three equations in three variables using this method and describe the four major steps used in the process. There are certainly other ways to solve the system presented in this video, including Cramer's Rule, but this solution focuses on the more...
Graphing a Polynomial Equation :: Curve Sketching Using Calculus
Переглядів 8 тис.Рік тому
In this video I describe the steps in the process of using Calculus to draw the graph of a polynomial function. To accurately sketch a function's graph, Calculus can be used to find: Critical Numbers Intervals where f(x) is increasing/decreasing Extrema (maximum and minimum points) Possible Points of Inflection Intervals of Concavity Points of Inflection I describe what each of these concepts a...
100 Random Trivia Questions
Переглядів 558Рік тому
These one hundred random general knowledge trivia questions include questions from a wide variety of topics - some easy, some difficult. Question categories included: Art - Astronomy - Biology - Botany - Chemistry - Dates - Earth Science - Food & Drink - Geography - History - Human Anatomy - Literature - Mathematics - Miscellaneous - Music - Mythology - Physical Science - Quotations - Religion ...
How To Factor a Quadratic With the X Method - An Example Problem
Переглядів 1,2 тис.Рік тому
The x-method is a way to factor a quadratic expression when the value of a (the coefficient on the squared term) is 1. This method is sometimes known as the cross method. Factoring can be a difficult part of algebra, the x-method is often used when beginning to learn this concept. In this video, I factor a quadratic using this process and describe each step in the x-method. After factoring, I c...
Curve Sketching With a Slant Asymptote - A Step by Step Example Using Calculus
Переглядів 771Рік тому
This video presents four steps that can be used to graph a rational function. Those four steps are then applied to sketch the graph of a rational function with a vertical and slant (or oblique) asymptote. 0:00 - Introduction 1:13 - Step 1: Identify All Asymptotes 6:40 - Step 2: First Derivative and Critical Bumbers 16:15 - Step 3: Second Derivative and PPI 24:12 - Step 4: Sketch the Graph To gr...
100 Random Trivia Questions - Miscellaneous Topics (Science, Math, History, Etc.) - Volume 6
Переглядів 109Рік тому
These one hundred general knowledge trivia questions include questions from a wide variety of topics - some easy, some difficult. Question categories included: Art - Astronomy - Biology - Botany - Chemistry - Dates - Earth Science - Food & Drink - Geography - History - Human Anatomy - Literature - Mathematics - Miscellaneous - Music - Mythology - Physical Science - Quotations - Religion - Sport...
The LATTICE Method (or BOX Method) - Multiplying Polynomials - Algebra
Переглядів 1,4 тис.Рік тому
The lattice method - or box method - is one way to multiply polynomials. In this video I solve an example problem using this method. The practice problem presented here has a binomial multiplied by a trinomial, but the box method can be used to multiply polynomials of any number of terms. If you have any questions, feel free to ask in the comments section.
Limit Definition of the Derivative - How to Differentiate a Polynomial - Calculus
Переглядів 637Рік тому
The limit definition of a derivative is a way to find the derivative of a function (provided that the limit exists). In this video, I go through the process of finding a derivative using the definition. The rules of differentiation in Calculus are based on this limit definition of the derivative. If you have any questions, feel free to ask in the comments section.
A Derivative Using the Power Rule With Negative Exponents
Переглядів 198Рік тому
In this video I describe the steps in evaluating a derivative involving a variable in a denominator. One of the most basic calculus differentiation rules is the power rule, but it cannot be directly applied in this equation until it is re-written using negative exponents. If you have any questions, feel free to ask in the comments section.
Free Falling Object Word Problem - Calculus
Переглядів 1,2 тис.Рік тому
In this vertical motion calculus word problem, a ball is thrown upward with an initial velocity of 33 meters per second. It is two meters above the ground the instant it leaves the thrower's hand. You are asked to find the velocity of the ball the moment it hits the ground. In this video, I describe how to solve the problem in four simple steps. 0:00 Introduction 0:25 Step 1 - Write a position ...
100 Miscellaneous Trivia Questions (Volume 5)
Переглядів 79Рік тому
These one hundred general knowledge trivia questions include questions from a wide variety of topics - some easy, some difficult. Question categories included: Art - Astronomy - Biology - Botany - Chemistry - Dates - Earth Science - Food & Drink - Geography - History - Human Anatomy - Literature - Mathematics - Miscellaneous - Music - Mythology - Physical Science - Quotations - Religion - Sport...
How to Write the Equation of a Circle Given Three Points
Переглядів 2,3 тис.Рік тому
How to Write the Equation of a Circle Given Three Points
Can Everyone in the World Fit Inside New York City??? (World Population is 8 Billion People)
Переглядів 6 тис.Рік тому
Can Everyone in the World Fit Inside New York City??? (World Population is 8 Billion People)
Finding Rate of Growth - A Compound Interest / Exponential Growth Word Problem
Переглядів 199Рік тому
Finding Rate of Growth - A Compound Interest / Exponential Growth Word Problem
Hyperbolas - How to Find the Center, Vertices, and Foci
Переглядів 359Рік тому
Hyperbolas - How to Find the Center, Vertices, and Foci
100 Trivia Questions :: General Knowledge - Volume 2 - Variety of Topics
Переглядів 105Рік тому
100 Trivia Questions :: General Knowledge - Volume 2 - Variety of Topics
100 Trivia Questions :: General Knowledge - Volume 3
Переглядів 103Рік тому
100 Trivia Questions :: General Knowledge - Volume 3
Finding a Limit with a Table of Values - Calculus
Переглядів 532Рік тому
Finding a Limit with a Table of Values - Calculus
The AMAZING Fact About a Shuffled Deck of Cards
Переглядів 48Рік тому
The AMAZING Fact About a Shuffled Deck of Cards
How to Evaluate Sums in Sigma Notation - Summation Formulas and Examples
Переглядів 3,6 тис.Рік тому
How to Evaluate Sums in Sigma Notation - Summation Formulas and Examples
Three Methods to Solve Quadratic Equations
Переглядів 434Рік тому
Three Methods to Solve Quadratic Equations
100 Trivia Questions :: General Knowledge - Volume 1
Переглядів 265Рік тому
100 Trivia Questions :: General Knowledge - Volume 1
Algebra - Laws of Logarithms (With Examples)
Переглядів 133Рік тому
Algebra - Laws of Logarithms (With Examples)
100 Trivia Questions - Volume 4 - General Knowledge
Переглядів 130Рік тому
100 Trivia Questions - Volume 4 - General Knowledge
How to Solve Optimization Problems in 5 Steps :: Calculus Walk / Swim Word Problem Example
Переглядів 1 тис.2 роки тому
How to Solve Optimization Problems in 5 Steps :: Calculus Walk / Swim Word Problem Example
The First 3.141 Thousand Digits of Pi Read Aloud
Переглядів 2 тис.2 роки тому
The First 3.141 Thousand Digits of Pi Read Aloud
How to Write a Sum in SIGMA NOTATION
Переглядів 4,8 тис.2 роки тому
How to Write a Sum in SIGMA NOTATION

КОМЕНТАРІ

  • @efiorentino1024
    @efiorentino1024 3 дні тому

    very helpful. thanks

  • @user-db2uo7ok7s
    @user-db2uo7ok7s 7 днів тому

    lovely.thank u

  • @robpuchyr7407
    @robpuchyr7407 8 днів тому

    In the original Simpsons episode, teacher erroneously writes 3 squared DR without the ‘r’ from the Power Rule but says the correct formula. I don’t think the animators checked their math. Which makes me laugh. RDRR. Or was that the meta joke?

  • @stanzinyountan5591
    @stanzinyountan5591 10 днів тому

    Thanks a lot man. You helped me .

  • @zhbilla5569
    @zhbilla5569 11 днів тому

    gj mate ur more acurate than google maps

  • @queenbreerobinson4354
    @queenbreerobinson4354 12 днів тому

    Can you PLEASE DO A VIDEO ON introduction to related rates with TWO EQUATIONS!? In calculus

  • @user-sp3mh5hm2p
    @user-sp3mh5hm2p 13 днів тому

    Welcome

  • @shadrackokello8228
    @shadrackokello8228 20 днів тому

    One of the best videos I was just searching for. And boom 🔥🔥🔥 🇰🇪🇰🇪

  • @MoneyMan28
    @MoneyMan28 20 днів тому

    4 Billion don't have jobs, can't pay rent every month and are starving Your solution of breeding more mouths to feed will not solve the food shortage problem

    • @ss-lz4me
      @ss-lz4me 14 днів тому

      There are approximately 700 million people who earn less than $2.50 a day, which is classified as poverty. However, it is not 4 billion. For each century that passes, people become less and less poor, so things are moving in the right direction.

    • @MoneyMan28
      @MoneyMan28 14 днів тому

      @@ss-lz4me 150 Billion people are underground rotting, another 7 billion de. ad in the next 60 years

  • @jizznuggetfivethousand
    @jizznuggetfivethousand 26 днів тому

    but terrance howard said 1x1=2. explain that math nerds. also if the limit=my sex life, does that mean it equals DNE. checkmate atheists.

  • @ElvisTranscriber2
    @ElvisTranscriber2 29 днів тому

    First l. Congratulations on your explanation, you manage to do it concisely and yet you didn’t assume things like the definition of a differential 3:06 But c'mon... 0:47 lets talk about why this is funny Its hilarius because when you have to explain a joke to most people...well...then its no longer a joke

  • @rodneybaker2629
    @rodneybaker2629 Місяць тому

    How in the world do you get a right triangle when side 'd' is a curved line...have you forgot earth is supposedly a sphere or are you pretending it is flat like most people do. They believe they live on a globe because that is what they are told, but in reality they treat it as if it is flat.

  • @silogaming6840
    @silogaming6840 Місяць тому

    thanks brotha

  • @Mf-a
    @Mf-a 2 місяці тому

    The greatest teacher there ever was and The greatest there ever will be.

  • @KarlTheStrawberry
    @KarlTheStrawberry 2 місяці тому

    This helped me so much trying to get through a class where the teacher doesnt really teach thank you for this you just saved my grade on the test

    • @MrSMath
      @MrSMath 2 місяці тому

      Glad it helped!

  • @user-vd1sl1is6b
    @user-vd1sl1is6b 2 місяці тому

    Very impressive 👍👍👍

    • @MrSMath
      @MrSMath 2 місяці тому

      Thank you! Cheers!

  • @emakhan8305
    @emakhan8305 2 місяці тому

    Which grade is that type of maths for?

    • @MrSMath
      @MrSMath 2 місяці тому

      This is a trigonometry problem usually encountered by 11th or 12th grade students.

  • @lakshmyy8264
    @lakshmyy8264 2 місяці тому

    Thank you so much

    • @MrSMath
      @MrSMath 2 місяці тому

      You're most welcome

  • @manochao
    @manochao 3 місяці тому

    Thanks,👍

    • @MrSMath
      @MrSMath 3 місяці тому

      No problem 👍

  • @Paleontologist-k5n
    @Paleontologist-k5n 3 місяці тому

    New York City being crowded with only the small number of people compared to 8 billion: meanwhile 8 billion 💀💀💀💀☠️😵🪦☠️🪦☠️🪦

  • @ArondelaCruz_
    @ArondelaCruz_ 3 місяці тому

    thank you so much

    • @MrSMath
      @MrSMath 3 місяці тому

      You are welcome, glad it helped!

  • @Blackshuck51
    @Blackshuck51 3 місяці тому

    Yet Claus and Bill and their Supa rich chronies say we're overpopulated. 1/3 of humanity they want to give up their sq ft. It's a horror story, and you, we are the main characters in it.

  • @chrissyjames7711
    @chrissyjames7711 3 місяці тому

    2 HUMANS CAN FIT IN ONE SQUARE METER THERES 8 BILLION PEOPLE , SO 4 BILLION IN ONE SQUARE METER , NOW DO MATH . 1 SQUARE FOOT NEVER

  • @mbuguawendywanja2354
    @mbuguawendywanja2354 3 місяці тому

    Thank you so much for this incredibly helpful video! Your clear explanations and step-by-step approach really made understanding this concept a breeze. Keep up the fantastic work!

    • @MrSMath
      @MrSMath 3 місяці тому

      You're very welcome!

  • @sammipak9115
    @sammipak9115 3 місяці тому

    thanks bro

    • @MrSMath
      @MrSMath 3 місяці тому

      No problem

  • @baedolores1502
    @baedolores1502 4 місяці тому

    thank you so much

    • @MrSMath
      @MrSMath 3 місяці тому

      You're welcome!

  • @shmkrar1153
    @shmkrar1153 4 місяці тому

    Thank you sir!

    • @MrSMath
      @MrSMath 3 місяці тому

      You are welcome!

  • @UrLocalTed
    @UrLocalTed 4 місяці тому

    Thank you so much. This was so easy to understand and saved my life 😭

    • @MrSMath
      @MrSMath 3 місяці тому

      Glad it helped!!

  • @Bint_e_islam-s
    @Bint_e_islam-s 4 місяці тому

    Why don’t we take hypotenuse as distance????

    • @MrSMath
      @MrSMath 3 місяці тому

      This problem is asking for the distance to the airport from the point on the ground below the airplane. If the problem was asking for the distance through the air to the airport, then we would find the length of the hypotenuse.

  • @dylannguyen5154
    @dylannguyen5154 4 місяці тому

    Great Vid helped me out.

    • @MrSMath
      @MrSMath 3 місяці тому

      Glad to hear it!

  • @earthgraduate726
    @earthgraduate726 4 місяці тому

    How to calculate the area of an irregular quadrilateral with different angles and no right angle and different side's length?

  • @chirurdp3454
    @chirurdp3454 4 місяці тому

    Great video. Really underrated

    • @MrSMath
      @MrSMath 3 місяці тому

      Thanks!

  • @shahad6750
    @shahad6750 4 місяці тому

    You're a HERO!!!! thanks a lot

    • @MrSMath
      @MrSMath 4 місяці тому

      You are very welcome

  • @miacookie3839
    @miacookie3839 4 місяці тому

    Thank you so much I didn’t understand this for my homework and you helped me so muck

    • @MrSMath
      @MrSMath 4 місяці тому

      Glad it helped!

  • @barbrarinnerbarbra7576
    @barbrarinnerbarbra7576 4 місяці тому

    thanks so much , i have learnt alot

    • @MrSMath
      @MrSMath 3 місяці тому

      You are welcome!

  • @tori7033
    @tori7033 4 місяці тому

    thank u omg

    • @MrSMath
      @MrSMath 4 місяці тому

      You are welcome!

  • @df27d
    @df27d 4 місяці тому

    My main problem is figuring out what goes on the numerator. Can you cross multiply?

  • @KhirbyConcon
    @KhirbyConcon 4 місяці тому

    lol

  • @mieispeeking
    @mieispeeking 4 місяці тому

    best video ever! Thank you so much

  • @tonybarker1335
    @tonybarker1335 5 місяців тому

    r-dr-r.❤😂😂😂😂

  • @randono213
    @randono213 5 місяців тому

    🙏 thank you

  • @randono213
    @randono213 5 місяців тому

    Thank you so much, you helped me for my homework and test tomorrow

    • @MrSMath
      @MrSMath 5 місяців тому

      You're welcome... Glad it helped!

  • @BuzzB613
    @BuzzB613 5 місяців тому

    We need to count humans not in population but in actual volume cause some are really voluminous

  • @Clashofwizardzz
    @Clashofwizardzz 5 місяців тому

    where is the calculus

    • @MrSMath
      @MrSMath 5 місяців тому

      The only calculus required in this video is in step 3 when you write a velocity function by taking the derivative of the function that describes the ball's position. This is at 4:52 of the video.

  • @Fredlikesmen98
    @Fredlikesmen98 5 місяців тому

    You have a nice sounding voice young man

  • @David-ou4mx
    @David-ou4mx 6 місяців тому

    lifesaver

  • @easytube5817
    @easytube5817 6 місяців тому

    Very helpful video, thank you.

    • @MrSMath
      @MrSMath 6 місяців тому

      Glad it helped.

  • @blower05
    @blower05 6 місяців тому

    1 last zero is missing!!

  • @AB-if8pd
    @AB-if8pd 6 місяців тому

    Please, Correct me if I'm wrong. Finding the 1st number is ok. But 2nd through 5th is not correct because the 1st through 5th cone out from the game. Meaning, the first number is between 1 through 69, but the second number is 1 through (69-1) because the ball is out of the mixer. Another words, you're assuming the ball that came out, is back again in the mixer which is not true. Now, with that explanation how the probability combination formula changes? That is the challenge I am facing. Will you please forward your response to my email address where you'll find it under UA-cam id? No explaination is needed, Just the formula is fine.

  • @muhdfaizul4754
    @muhdfaizul4754 6 місяців тому

    thumbs of rules calculation 18000 feet/ 4 = 4500 feet 4500 /1000 feet = 45 NM