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Diane R Koenig
Добавлен 13 янв 2011
Are you looking for videos on Statistics, Algebra, or Calculus that will finally help you understand the material? Would you like to see another example to help you gain understanding of probability, frequency distributions, confidence intervals, hypothesis testing, algebra and calculus topics? Then this channel is for you!
Rolle’s Theorem With example
Rolle's Theorem is actually a case of the Mean Value Theorem where the function values at the endpoints are equal. It is one of the early applications of derivatives after The Extreme Value Theorem. This video walks you through the specifics of the theorem and presents an example.
Просмотров: 251
Видео
Integrating rational functions parts 1 and 2 combined
Просмотров 4893 года назад
This is a video of Integrating rational functions and Integrating rational functions part 2. There is a section in this rendition that was cut from the separate videos so if you are looking for a more in-depth look at the beginning of the integration that is arctanx, this is the one to watch. Remember: When integrating rational functions, a polynomial divided by a polynomial, there are many thi...
Integrating rational functions part 2
Просмотров 1893 года назад
When integrating rational functions, a polynomial divided by a polynomial, there are many things to consider that will aid you in deciding the technique of integration to use: 1) Is the denominator a monomial (one term)? If so, write each term in the numerator over the common denominator, simplify each fraction, then integrate term by term. 2) Is the degree of the numerator the same or higher t...
Integrating rational functions, what to look for to decide which technique to use. Part 1
Просмотров 6303 года назад
When integrating rational functions, a polynomial divided by a polynomial, there are many things to consider that will aid you in deciding the technique of integration to use: 1) Is the denominator a monomial (one term)? If so, write each term in the numerator over the common denominator, simplify each fraction, then integrate term by term. 2) Is the degree of the numerator the same or higher t...
Trapezoidal Rule and Simpson's Rule, Numerical Integration Methods examples
Просмотров 4983 года назад
The background of the development of the Trapezoidal Rule and Simpson's Rule can be viewed at: Trapezoidal Rule and Simpson's Rule to approximate definite integral values ruclips.net/video/shvdgvbZIBA/видео.html For the work and example of the error and how to find the minimum number of subintervals, n, to meet a given accuracy for Trapezoidal and Simpson's Rule, view:
Trapezoidal Rule and Simpson's Rule Error
Просмотров 2,1 тыс.3 года назад
Trapezoidal Rule and Simpson's Rule Error
Trapezoidal Rule and Simpson's Rule to approximate definite integral values
Просмотров 3233 года назад
The background of the Trapezoidal Rule and the statement of Simpson's Rule is given in this video. For an example using these methods to approximate a definite integral value, view: Trapezoidal Rule and Simpson's Rule, numerical integration examples ruclips.net/video/A3EWjzFkzVE/видео.html Trapezoidal Rule and Simpson's Rule Error ruclips.net/video/LNjG6VtQ_u4/видео.html
The Second Fundamental Theorem of Calculus. The definite integral as a function of x.
Просмотров 1223 года назад
The Fundamental Theorem of Calculus also gives us connections in working with functions that are defined by a definite integral with the variable at the upper limit of integration. In this video, I present the connection and show examples of evaluating functions of this type for values of x. For examples of finding the derivative of definite integrals as a function of x, view:
![The Mean Value Theorem of Integrals and the average value of a function on [a,b], example 3](/img/1.gif)
The Mean Value Theorem of Integrals and the average value of a function on [a,b], example 3
Просмотров 1223 года назад
The Mean Value Theorem for Integrals has a vital link to the average value of a continuous function on a closed interval. For a continuous function on a closed interval, the theorem guarantees that there is an input value in the closed interval for which the function value at that input is the average value. Because of the link between the two, I show an example of both of them in this video. I...
The average value of a function on a closed interval, two examples
Просмотров 3193 года назад
The Mean Value Theorem for Integrals has a vital link to the average value of a continuous function on a closed interval. For a continuous function on a closed interval, the theorem guarantees that there is an input value in the closed interval for which the function value at that input is the average value. Because of the link between the two, I show an example of both of them in this video. I...
The Mean Value Theorem for Integrals and the Average Value of a function
Просмотров 2673 года назад
The Mean Value Theorem for Integrals has an important link to the average value of a continuous function on a closed interval. For a continuous function on a closed interval, the theorem guarantees that there is an input value in the closed interval for which the function value at that input is the average value. Because of the link between the two, I present them both in this video and give an...
Finding definite integral values the easy way! The Fundamental Theorem of Calculus.
Просмотров 1823 года назад
To find the definite integral value for a lot of functions we can use either the limit definition or the results of the Fundamental Theorem of Calculus (FTC). Recall that the FTC says that if you have a continuous function on a closed interval, and F(x) is an antiderivative of f(x), the definite integral from a to b of f(x) dx can be found by evaluating F(b) - F(a). Two things here to notice ar...
Finding definite integral values using the Fundamental Theorem of Calculus (FTC) part 2
Просмотров 2653 года назад
Definite integration will be used in a wide variety of applications of integrals. Practicing finding these values using the Fundamental Theorem of Calculus (FTC) will build a stronger foundation so you are ready when working on integral application situations. In this video, I show the steps in evaluating definite integrals that involve trigonometric functions, exponential functions, functions ...
The Extreme Value Theorem Example
Просмотров 1593 года назад
The Extreme Value Theorem is an important theorem in calculus that is used in many applications. To view a description of the Extreme Value Theorem, view: The Extreme Value Theorem, an application of derivatives ruclips.net/video/RkdRhMgeIpA/видео.html This video includes an example of the step by step process to find the absolute maximum and the absolute minimum values of a continuous function...
The Extreme Value Theorem, an application of derivatives
Просмотров 2513 года назад
In this video, I present the Extreme Value Theorem and the steps used to find the extrema of a function on a closed interval, [a,b]. To see an example of the process, click on the link: The Extreme Value Theorem Example ruclips.net/video/-fWS91XOads/видео.html
Evaluating the definite integral using the limit definition
Просмотров 4,6 тыс.3 года назад
Evaluating the definite integral using the limit definition
Using the properties of definite integrals with examples, part 2
Просмотров 1213 года назад
Using the properties of definite integrals with examples, part 2
Finding a definite integral from a graph using geometry formulas
Просмотров 5263 года назад
Finding a definite integral from a graph using geometry formulas
Properties of definite integrals with examples, part 1
Просмотров 3263 года назад
Properties of definite integrals with examples, part 1
Approximating the area of a plane region enclosed by f(x)=x^2 + 1, the x-axis, on [1, 3] with n=4.
Просмотров 2843 года назад
Approximating the area of a plane region enclosed by f(x)=x^2 1, the x-axis, on [1, 3] with n=4.
Approximating area of a plane region, explanation of the notation
Просмотров 1373 года назад
Approximating area of a plane region, explanation of the notation
Finding the area between a curve and the x-axis by the limit definition
Просмотров 1293 года назад
Finding the area between a curve and the x-axis by the limit definition
Approximating area of a plane region caught between the curve and the x-axis over an interval.
Просмотров 833 года назад
Approximating area of a plane region caught between the curve and the x-axis over an interval.
How do you approximate area between a function, the x-axis, over an interval using the midpoints.
Просмотров 863 года назад
How do you approximate area between a function, the x-axis, over an interval using the midpoints.
U-substitution, a technique to integrate expressions involving composite functions
Просмотров 3473 года назад
U-substitution, a technique to integrate expressions involving composite functions
How do you integrate using u-substitution? Examples involving trig, exponential, and polynomials.
Просмотров 1133 года назад
How do you integrate using u-substitution? Examples involving trig, exponential, and polynomials.
Elementary differential equations. Finding the position function from the acceleration function.
Просмотров 2463 года назад
Elementary differential equations. Finding the position function from the acceleration function.
How to you solve basic differential equations? What is a particular solution of a differential eq?
Просмотров 333 года назад
How to you solve basic differential equations? What is a particular solution of a differential eq?
Examples of basic indefinite integrals, part 3
Просмотров 363 года назад
Examples of basic indefinite integrals, part 3
Examples of indefinite integrals, some involving trig functions. Part 2
Просмотров 373 года назад
Examples of indefinite integrals, some involving trig functions. Part 2
Thank you so much Ma for this
You are so welcome
I got a question. If the R as a correlation helps to find us R^2 which is the square of R. Does that mean to avoid memorizing the longest formula of coefficient correlation we can just apply the direct given formula of R^2 as SSR/SST Where SSR Is the total square sum of regression and SST is the square sum of residuals and then square root the results to find R?
I can't believe this video doesn't have more views! Excellent content Diane, thanks!
Thank you!!
I can't understand end of the video 🥺
Thank u so much for this video
You are so welcome!
🧡🧡
When you use the conservative p estimate, how would you know that the resulting sample size will give you a strong power above 80%?
Yayyy thankssss 🎉❤
So glad it helped!
Thank you so much!
How'd you get the 5???
The 5 is given in the question. There are usually somewhere between 5 to 15 classes. For entry level classes, If the number of classes isn’t given, look at the data and choose a number of classes that presents well for the data.
This video really helped me out, along with the part 2 of this. The second part is titled "Making A Frequency Distribution Table".
Thank you so much Professor. You saved my day! This and the previous video "Frequency Distribution, finding the class width".
OMG This is just what I needed.Thanks
So glad it helped! Help me grow my channel by sharing it with others!
You are a God send, thank you so much!!!!!!
Thanks
Wow, I get it! Her explanation of x/ x^r as x goes to -infinity, really good!
So glad it helped! I appreciate the feedback!
Thanks
I love you
Perfectly done,.11yrs now.Still using her knowledge 😊🎉
thank you Mrs Koenig for all of your help in your video lectures made during Covid. It is appreciated very much.
do we have to make a x y chart?
Thanks
ok but how do u find r 😭😭
Great job mam. Love from india.
thank you
So happy it helped!
Can you get a class width when it is not given?
Still don’t understand
You are a very good teacher, madam. A lot of Respect here
Explained incredibly well. Definitely helped me understand. You are a saint madam
You made this 11 years ago and it's still getting views to this day, thank you God bless your soul, mam.
This is so helpful thank you so much!
Yes it did help me understand logarithms a little bit more. Perhaps it'll help a future potential comp sci student know a bit of comp sci history (the computer is a direct descendant of Charles Babbage's Difference Engine which was created to do things like the subtractions needed to get the values of a log table) - I found this video trying to understand the Big-Oh idea in comp sci. Crazy how things are linked up.
One of the Best explanations and directives given !!
Thanks
Thankyou Sooo much mam ,this helps me alot 🙏
You are so welcome! If you like my videos, please subscribe to get notified when I post new ones.
Thank you mam ❤ from india 🇮🇳
ks akhtk 3hak shr7 zy teze
I am from india , thankyou mam for this beautiful explanation
Thank you. I'm in a data analytics class and the teacher used Data Analysis tool to get R and R^2 but did not go into the meaning of the two variables. But why do we have R and R^2 , what does R mean on its own?
In Excel
wow you are an amazing teacher thank you so much
Ada Lovelace 😂😂😂🤣🤣🤣
Thank you so much. you're by far the best in explaining conceptuals as well procedurals in calculus that I've found on RUclips. and I have listened to many many different teachers/hosts here. So thank you so so very much. This is wonderful and I would recommend you and your channel to anyone.
thank you so much for this!! helped so much!
🤩waww
Thank you so much. ❤
thank you for explaining the log x = 4. i couldnt understand why it didnt have a base.
I am so glad it helped!
Keep making videos pls
great video as usual
Thank you!
Wonderful, couldn't be more clearer. My semester saved 🥳
Glad it helped!
Thank you for this video. You explained very well.
I appreciate the feedback:)