In this algebra video the instructor shows how to work with complex numbers. When you have a positive number under the square root, you can easily find its value by writing it in the form of product of numbers, and then solving. That is, to find the square root of a positive number, you can find another number which multiplied by itself gives the original number. This new number becomes the square root of the original number. But when you are asked to find out the square root of a negative nu...
This is a very interesting educational video on how to find the factor trinomials using the swing method. Let us take an example and find the factor trinomials for 2xsquare-13x-45. Let us use the swing method. So now we will get 2xsquare -13x-45. You have to find the suitable factors of 90. It is 18 and 5. If you multiply 18 by 5 you will get 90. You will get (x-18over2)(x+5over2). The final answer is (x-9)(2x+5). Now we have found out the factor trinomials of 2xsquare-13x-45. This swing meth...
In this video the instructor shows how to simplify radicals. A radical is nothing but another name for a square root. To find the square root of a simple number the first thing that you need to do is factor it. If you need to compute the square root of a number, you first need to find a number which multiplied by itself gives the original number under the root. For example, to find the square root of 9, you need to find a number which multiplied by itself gives 9. Here the answer is 3. When 3...
Counter space is a tough thing to find in the bathroom. Follow along as Linda Gemal gives us hints on how to organize our bathrooms.
Are you slightly rusty on your math skills? This video demonstrates how to find the volume of a sphere with a given radius. The first step is to sketch a solid and cross-sectional view of your sphere to get an understanding of the process to come. Next, find a formula for the area of this cross-section. Third, find the limits of integration. This will allow you to take the area of each cross-section in the sphere, not just the singular one you are viewing. Lastly, integrate this formula from ...
This video shows how to find areas between curves. The basic idea is that we find the space trapped between two curves on a graph. The formula for finding this is top curve, subtract bottom curve and then integrate. The presenter shows a parabola that goes through the origin. Then he draws a line that runs through the origin. We try to find the area trapped between the two. You take your smallest x co-ordinate to the largest x co-ordinate, you take the curve on top (2x) and subtract the curve...
This tutorial teaches you how to find a mathematical equation of a line given 2 points that exists on the line. The tutorial starts off with 2 points labeled (2,-4) and (3,6). The first step is to determine the slope of the line using the formula given in the tutorial in blue. The slope is then solved as 'm'. Plug the slope and the points into another formula given in green. The tutorial maker provides a tip that one can use x1 and y1 or x2 and y2, however, it must be consistent. After, solve...
An educational video by http://JustMathTutoring.com that shows how to use implicit differentiation to find a 2nd derivative of an equation.
This video shows the method to graph a linear function by finding the X and Y intercept. Only two points are needed to graph linear functions. So we find the point on Y axis or the Y intercept and the point on the X axis or the X intercept. We notice that on the Y axis the X coordinate is zero. So, we find the Y intercept by putting x=0 in the given equation and solving for y. In the same way, we find the X intercept by putting y=0 in the given equation and solve for x. We join the two points...
This is a mathematical instructional video on finding the point slope form of a line equation. This technique allows you to find the x and y intercepts of a line. The point slope form is (y-y1)=m(x-x1). The instructor tells you what each of the variables represents, and shows an example. He then shows you how to find the slope-intercept form from the point slope form. Finally, he shows you how to graph the line using both of the equations. He shows you how to find the equations with different...
JustMathTutoring This video shows the procedure of finding derivatives using the Chain Rule. The Chain Rule states that the derivative of a composition of functions is the derivative of the outside function evaluated at the inside multiplied by the derivative of the inside. This can be stated as if h(x) = f[g(x)] then h'(x)=f'[g(x)]g'(x). This is explained by two examples. In the first example we find the derivative of the sine of square of 'x'. We take the derivative of sine at square of 'x'...
In this tutorial the instructor shows how to calculate the greatest common factor, or GCF. While computing greatest common factor, you are pulling out the smallest exponents of any common factors along with the factor. Finding the greatest common factor is similar to finding the least common multiple. When given any numbers to find the greatest common factor, the first step in the general procedure to be followed is to break each number down into its factors. You need to break down the number...
This video shows the method to find the variance and standard deviation using Excel. The variance shows the variability of the data points from the median. We find the difference of the median and the mean. We write the formula using '=' sign. The median and data points are put in it by selecting the appropriate cell. The median is made an absolute constant by pressing the F4 key. This is squared by using '^2'. This is multiplied to the frequency using '*'. The result is found for all the dat...
In this video the instructor shows how to find the equation of the line given its slope and a point that lies on it. If the slope of the line is m and the point that lies on it is (x,y) then you can find the equation of the line by substituting the values in the slope-intercept form of an equation which is y = mx + b. Now substitute the values in the above equation and solve it for the value if the y-intercept y. Now you have the slope m and y intercept b. Substitute these values in the gener...
This video teaches us the concept of nth roots. The video starts with the square root of constants. We find the number which when multiplies by itself for two times results in the constant inside the square root. Then we find the square root of variables. Here again the same concept is used. We find the variable which when multiplied by itself for two times results in the given variable. Then we find the cube root. Here we find the number which when multiplied by itself for three times result...
In this video the instructor shows how to write a linear equation. If you need to find the equation of a line that passes through the two given points then you need to find the linear equation of that line. The first step is to find the slope of the line that passes through these points. The slope can be calculated by finding the ratio of the difference of y coordinates to the difference of the x coordinates i.e. the change in y up on the change in x. Now substitute the value of slope and any...
Have you ever found yourself lost in the Appalachian Mountains, or stranded in the Mojave Desert? Maybe it was because you couldn't read a map… a real map… a real hands-on, folding paper map. Reading a map is an important skill that may be lost in the internet and GPS era, but it' s a skill that everyone should have.
This video shows us the method to find the percent increase or decrease in a quantity. This can be done in 30 seconds. The formula states that the percentage increase or decrease is equal to the product of the ratio of amount (increase or decrease) and the original amount and 100. This is explained by two examples. In the first example the amount of increase of the price of groceries is found by taking the difference of the new price and the old price. This is divided by the original price an...
A pyramid is a three dimensional version of the triangle. In this video, learn how to find the volume of a pyramid. Finding volume is the next step after you learn how to find 2D area. Check out this tutorial and soon you will be tackling 3D objects just as easily as you learned their 2D cousins.
Here you will be shown how to find your iPhone or iPod Touch if you were to lose it. Add this application so that you will be able to find your iPhone or iPod Touch if you were to lose it. Go to the App store and do a search for "If Found". it is a free application by MobilityWare. Install and type in the needed information. Use this as your wallpaper. The person who finds your phone does not know your code, so they will not be able to see your personal things. All they will be able to see is...
A video to help calculator users find the natural logarithm (log base e, or "ln") and standard logarithm (log base 10, or simply "log") of any number using a TI-83 calculator (works for any issue of the TI-83 calculator or even a TI-84 calculator). Turn on your calculator. To find the natural log of a number, press the "ln" button (the third button from the bottom left), enter the number you want to find the natural log of, press the ")" (closed parenthesis) button, then press enter. The same...
The first question asks for the intercepts x and y. To find X, you would need to set Y to zero, leaving the equation 3X=6. X then equals 2 after you divide both sides by 3. The X intercept that you found is not just the value of 2, but it is the ordered pair X=2 and Y=0 on a graph. To find Y, you would do the same thing, except this time X would be set to 0. In the second example of this video tutorial, you will actually learn how to graph the X and Y intercepts. To do that, you follow the st...
In this tutorial the instructor shows how to find the vertices of a polygon of constraints. In any optimization problem after defining your polygon you need to find its vertices. First you will have a set of equations which represents the constraints in your problem. Now you have to find the coordinates of the vertex of it by solving the optimization problem. To do that you have to start with a point and check the lines that are passing through it. Now take those lines and solve them for the ...
Notes College Algebra teaches you how to find the equation of an ellipse given a graph. You first want to find out the center of the ellipse, which in the video is (2, -3). The major axis is parallel to the X axis. The equation is (x - h) squared/a squared plus (y - k) squared/a squared equals 1. A is the distance from the center to either of the vertices, which is 5 over here. B is the distance from the center to the top or bottom of the ellipse, which is 3. You then use these values to find...
The instructor goes about giving a crash course on finding the vertex of a parabola. This is a very nice review of the subject but not really a complete lesson. The instructor fails to explain many of the symbols and other expressions used. The simple way taught by the instructor is the short cut to finding an otherwise complex problem. The nice thing about this technique is that there are no exceptions to this short cut. This is not what someone should learn if they wish to understand the co...
This video shows you how to easily find the area of a parallelogram and the area of a triangle. The first part of the video teaches you how to find the area of a paralellogram. The area of a parallelogram is BxH, where B is the base and H is the height. The height is obtained by drawing a perpendicular line from one corner to the base. The second part of the video teaches you how to find the area of a triangle. The area of a triangle is (BxH)/2, where B is the base and H is the height. That's...
In this tutorial the instructor shows how to find the x and y intercepts of rational functions. Finding the intercepts of a rational function is similar to finding the intercepts of other normal equations. You can find the x intercept of the equation by setting the value of y to zero and solving the equation. Similarly you can solve the y intercept by setting the value of x to zero and solving the equation. Now while solving this rational function for intercepts if you face a situation where ...
For people who are learning geometry, this video will show you how to simply find the volume of a cube. This video provides the formula as well as some basic examples in order to get you started in finding the volume. The formula for the volume of a cube is the length of one side of a square^3. This is easy to remember since you are making a cube and all sides should be equal in length. By following the simple steps and by watching this video, you should be able to easily find the volume of a...
When you are figuring the area of a square, you only need to know the height and width of the shape. Once you know the height and width, multiply them to get the area of the square. To find the perimeter of the square, add all four sides together. To find the area of a triangle, multiply together two of the sides (not the hypotenuse) and then multiply that figure by 1/2. To find the perimeter of the triangle, add all three sides together.
This video shows the process of finding the volume of solid. The video is simple and easy to comprehend. The video takes the example of a rectangular solid and a solid cylinder to explain the method to find the volume. The video shows the step by step method to find the volume. The first step involves finding the area of base. After this, the area is multiplied by the height to find the volume. The unit of measurement is also taken into account in the video.
This video will provide you with insight into how to find a number given its percent. In the example provided, you needed to find the number which 33 is 60% of. This was achieved by simply taking the number which is a percentage of another number, in this case 33, and divide it by the percentage, in this case 60%, or 0.6. By carrying out the long division from this step, you will be able to find the original number and solve this seemingly complicated problem with ease.
In this tutorial the author shows how to find the area of Rectangles, Triangles and Parallelograms. He says that an area of a figure is nothing but the amount of space taken up by that figure. He now explains that the area of rectangle is length times the breadth. He demonstrates it with an example. Now he says that an area of a parallelogram is base times height. He also demonstrates how to find the area of a parallelogram. Finally he shows the area of a triangle is half times the product of...
This how-to video is about how to find a number when its percent is given. This video is really helpful and effective in finding the number when the percent is given, the following steps are explained in the video to find the number when its percent is given:
Finding the volume of a rectangular prism is something you will need to master to pass geometry. You may also use this equation in some science classes. This tutorial will show you exactly how to find the volume of a common rectangular prism. The video also offers two different examples and step by step instructions. Follow along with this video and you will soon have this concept down pat.
Mean and standard (or normal) deviation may be hard to understand at first, but with the help of this handy little guide from the pros at Exam Solutions you will be up to speed in no time.
To find the length of a side of a triangle using cosine, you first need to find the angle and which sides are given. After you determine the angle and given sides, you'll need to figure out which trigonometric ratio to use. If you are given the adjacent side and the hypotenuse, you need to use cosine to solve. The degree equals adjacent divided by hypotenuse. In the example, Cos 39=3.5/x. After simplifying the equation, we found x to be 4.49. If the directions ask you to round, be sure to rou...
In this tutorial the author shows how to find out the missing side of a triangle which is similar to an other triangle. He explains the concept of similar triangle using diagrams and by showing that similar triangles have equal corresponding angles and parallel sides. Now he labels sides of similar triangles and intends to find out the length of unknown side. Now in similar triangles, as the lengths of sides are proportionate he shows how to write a equation of proportion and solve it finding...
In this video the instructor shows how to find the slope of an equation which is in the form Ax + By + C = 0. He says that the formula to find the slope of a line in the above form is slope m = -A/B, where A and B are the numeric constants of the variables x and y in the given equation. He goes on and further shows how to do this with a couple of examples. He shows how to reduce any equation into the general form and how to apply the slope formula then. This video shows how to find the slope ...
In this arithmetic basics tutorial the author shows how to find the percentage of a number. He says that hundred percentage of number is the same number. He says that if we find the percentage of a number where the percentage is less that 100, then the value of the number reduces. Similarly if we find the percentage of a number where the percentage is more than 100, then the value will be more than the original number. He says that to find the percentage of a number we need to mark a decimal ...
For people who are learning geometry and would like to be able to find the perimeter of a rectangle, this video provides and quick and simple tutorial which provides the formula as well as a good example. The formula for finding the perimeter of a rectangle is simple the sum of all sides, or l+l+w+w, where l is the length and w is the width of the rectangle. After attaining the values of the length and width of the rectangle, you can simply plug in the values to this equation in order to find...
