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How To: Work with exponential growth functions in mathematics

Exponential functions are functions which contains terms which are integers raised to the power of variables. Note that the variables are not raised to the power of integers, but the integers are raised to the power of variables. Variables raised to the power of integers are called as polynomials and are a different class of functions. But exponential functions grow very fast than polynomials with the increase in the value of the variable. To understand the growth of these functions take a si...

How To: Calculate percentage change in Microsoft Excel

New to Microsoft Excel? Looking for a tip? How about a tip so mind-blowingly useful as to qualify as a magic trick? You're in luck. In this MS Excel tutorial from ExcelIsFun, the 267th installment in their series of digital spreadsheet magic tricks, you'll learn how to calculate percentage change using a simple universal formula: (End Value)/Beg Value)/Beg Value = Percentage Change.

How To: Solve percent proportions

A percent problem is one in which you are given a quantity and asked to compute the value of a percent of it. You may also be given the whole quantity and a part of it and asked to compute the percentage of the part in the whole. To do these kind of problems you need to use the rule which states that the ratio of the part to the base it equal to the ratio of the percent to hundred. That is part/base = percent/100. This comes from the definition of percentage which states that percentage is eq...

How To: Find a formula describing direct variation

In this video the instructor shows how to find a formula describing direct variation between two variables. Variation between two variables can be either direct variation or indirect variation. If a variable y is in direct variation with a variable x we can write the general equation between them as y = k * x. That is as x varies, y varies directly in relation to x, as a multiple of x. Now if you have the values of y and x, you can substitute them in this general equation which gives you the ...

How To: Solve a 3x3 linear system using Cramer's Rule

In this video the instructor shows how to solve a 3 x 3 linear system using the Cramer's rule. In this kind of problem you are given three equations in three variables x, y, z and you need to solve for the values of these equations. You can solve this using the Cramer rule which says that the value of x is Dx/D, where Dx and D are two different determinate. Now you have to figure out the determinate to get the value of variable x. The determinate D is called the foundation determinate and is ...

How To: Solve a system of equations w/ the elimination method

The video shows us how to solve a system of equations with the elimination method. First write the two equations one on top of the other, as it is going to be elimination method and it is recommended to write it in that way. Here the 2 equations are x+y=-3 and x-y=1. In the elimination method we need to add the 2 equations by columns. So adding it column wise we get to have 2x=-2 and solving this we will get the value of x=-1. Then you need to substitute this value of x in any of the two equa...

How To: Hack My Pet Protector 2 with Cheat Engine (01/24/10)

This video shows how to hack My Pet Protector 2. You can hack health by taking the amount you have and multiply it with 8. When you lose some health you will need to repeat it. Then drop it down and freeze it and change the value to 80000. Come to the cheat engine then put the value on the box for hex value. Then hit enter and you will get one result. If you didn't get any result, repeat the process by entering another value which is multiplied with 8. Once you got it double click on the link...

How To: Find the slope of a line given 2 points with fractions

In this video tutorial the instructor shows how to find the slope of a line given two points with fractional values. To do this first name your two points as point 1 with coordinates as x1, y1 and point 2 with coordinates x2, y2. Then substitute the values in the equation of the slope which is slope m = (y2 - y1) / (x2 - x1). Now all you have to do is simply the fraction after substituting the point values. Be careful about the signs while substituting in the formula. Now finally after solvin...

How To: Apply the distributive property

The distributive property is a very important factor to consider in math and may save you a lot of trouble on your math homework. For values which lie right outside parentheses, you will need to distribute this value across the contents of whatever is inside the parentheses. You will need to multiply the value outside of the parentheses by first the first term inside the parentheses and then by the following terms inside the parentheses, distributing the value across all the terms found insid...

How To: Solve for the missing ratios or proportions

In this video the tutor shows how to solve the missing ratios or proportions. He explains it with an example, where a number in one of the ratios is missing and he intends to find this value. He shows the example of cross multiplication, where you multiply the values on the either side of the equation diagonally and finally solves the equation which results in the value of the unknown value. This is an introductory video explaining how to use rations and proportions to find missing values.

How To: Find points of intersection in different equations

In this tutorial the instructor shows how to solve linear and quadratic equations. It is a liner quadratic system where he shows a parabola and a straight line and he intends to solve the points where the line intersects the parabola. Now he uses comparison to compare the values of y in both the equation resulting in a equation in x. Now he shows the factors of the obtained polynomial equation and there by finding the values of x coordinates. Now he substitutes these values of x in the origin...

How To: Find the average value of a function over an interval

When you have to find the average of two or five numbers then you have to add all the numbers and then divide then by two or five respectively. However in the case of the function you have infinite many values over any interval. But it is not possible to add all and then divide by infinity. Therefore you have to calculate in a different way. Imagine that you have to find the average of y=f(x). Then you have to average it from the interval from ‘a’ to ‘b’. The inner area under the curve shall ...

How To: Generate random numbers (integers) in Excel

1.Here 10-50 and 300-400 numbers are taken for example to generate the random numbers within the limit in Excel. We using the command of "randbetween" for generate the random numbers and we won't get the decimal or fraction values.2.Now type "=randbetween(10,50)" which means to generate the random value between the bottom value of 10 and top value of 50 and click enter now we will get 11 as random generated number.3.Do the same thing for 300-400 as "=randbetween(300-400)".You will the 303 wil...

How To: Find the zeros when graphing a quadratic equation

In this tutorial the instructor shows how to graph a parabola and also how to find its roots which are also known as zeroes. He gives the quadratic formula of how to find x-intercepts of a parabola. He takes an example and substitutes the values and finds out the values of the roots of the parabola. Now he substitutes these values in the equation to obtain the corresponding y coordinates. Now using these pairs of values he plots the parabola on a graph and draws it. This video shows how to fi...

How To: Convert improper fractions to mixed numbers

In this tutorial the instructor shows how to convert a improper fraction to mixed number. In the example the instructor takes the denominator of the mixed fraction and writes it beside and keeps adding it self to the latest number and he keeps on doing that way generating a series until he reaches the value of the numerator. Now he counts the number of occurrences of the numbers in the series before the value of the numerator which gives the value of the whole number in the mixed fraction. No...

How To: Do a similarity transformation in Geometry

In this video the author shows how to do similarity transformations. He says that similarity transformations are used to draw the similar images at a different location and the k value is most important while doing this kind of transformation. He says that a negative k value tells that the copy of the shape will end at the opposite side of the origin to the original shape. He says that a positive k value tells that the copy will lie on the same side of the origin. Next thing about the k value...

How To: Use AGGREGATE instead of SUBTOTAL in MS Excel 2010

New to Microsoft Excel? Looking for a tip? How about a tip so mind-blowingly useful as to qualify as a magic trick? You're in luck. In this MS Excel tutorial from ExcelIsFun, the 664th installment in their series of digital spreadsheet magic tricks, you'll learn how about how the new Excel 2010 AGGREGATE function that can calculate these 19 different functions depending on what number you put into the 1st argument of the AGGREGATE function. This is an improvement over the SUBTOTAL function wh...

How To: Create animated glowing text on Flash Professional 8

1. The following lines describes how to create animated glowing text on Flash. 2. Open a new Flash Project and select first Key Frame and place a Text Box and Type "HELLO" 3.Select TextColor as red. 4. Then Go to Filters->Glow a. select color as Dark Yellow b. increase the Blur x,y Property value to 5 c. strength value to 200 d. Quality: Low 5. Select 15th Frame and Right click->Select Insert KeyFrame. 6. Then increase the Blur x,y Property value to 50 and strength value to 300. 7. Then selec...

How To: Determine if you have a function

In this tutorial, we learn how to determine if you have a function. You will start off with two functions and their points. The 'x' values make up the domain of the function and the 'y' values make up the range. The input values are the domain and the output are the range. If you're checking to see if you have a function, you will need one 'y' for every 'x'. This means that each value has another one that goes with it. Each of the points need to have one partner with them, no more and no less...

How To: Use Excel for daily interest and monthly deposits

Some savings plan pays interest 365 days in a year but you make deposit monthly. You can use Excel functions to calculate the maturity value of the of the monthly plan. To do this you have to use the nominal and effect functions before using the future value functions. First enter the know data like the monthly payment, the number of years of payment, the number of days in a year, and the annual percentage rate. First take the nominal rate and calculate the effective rate with the help of eff...

How To: Find the circumference of a circle using basic math

This video teaches us the method to find the circumference of a circle given its radius. The video tells us to find the answer in terms of pi and also to the decimals value. The formula to find the circumference is two times the product of pi and the radius. The first step involves the drawing the circle and marking the radius. The radius of the circle in the video is 6.5 cm. Now use the formula to find the circumference. Substitute the value of the radius in the formula of circumference. We ...

How To: Graph x squared & the square root of x

In this video the instructor shows how to sketch the graph of x squared and square root of x. The first equation is the x squared which is y = x * x. Now to sketch this take a sample values of x and substitute in the equation to get the value of y. Similarly find the set of points for the equation. Finally plot these points and sketch this graph which is in the form of a parabola. The curve is in the form of alphabet 'U' with its vertex at the bottom. Now similarly take the square root of x e...

How To: Convert temperature using y = mx + b

In this video the instructor shows how to do temperature conversions using y = m*x + b. Now if Celsius is represented by the variable C and Fahrenheit is represented by the symbol F, you can replace then in the previous equation in place of the variables x and y giving you the equation C = m*F + b. Now to solve for the values of the constants m and b you need to have values of two sample temperatures in both Celsius and Fahrenheit. Take the first sample and substitute in the above equation gi...

How To: Graph half an ellipse

If you are given an equation of ellipse in the form of a function whose value is a square root, you may need to simplify it to make it look like the equation of an ellipse. Now equate the function to a variable y and perform squaring on both sides to remove the radical. Now simplify the equation and get it in the form of (x*x)/(a*a) + (y*y)/(b*b) = 1 which is the general form of an ellipse. Now you will have the x and y intercepts which are a and b respectively. Using this values graph the eq...

How To: Graph the absolute value of a function

This video shows the method to plot the graph of the absolute value of a function. The video shows the example of the function of cube root of 'x'. The demonstrator first plots the graph of a cube root function. This is done by taking the reference point of positive one and positive eight. The graph is drawn for both negative and positive values of 'x'. After this the graph of absolute function is drawn by taking the absolute value of the cube root function. The resultant graph comes out to b...

How To: Find the equation of a line

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...

How To: Solve quadratic equations by factoring in math

In this video the instructor shows how to solve quadratic equations by factoring. You can solve a quadratic equation by factoring them. To do this first write the equation in the standard from which is a*x*x + b*x + c = 0. Now factor the equation into two smaller equations of single degree. Now you can apply the zero-factor property to solve the equation in this from. The zero-factor property states that for a real values a and b, if a multiplied by b is equal to zero then value of a must be ...

How To: Solve one-step inequalities

The one step inequalities are one of the easiest method in mathematics that you can add or subtracting the values in an equation. Consider the equation M+7=-3(Assume M+7 as left side & -3 as right side), in this you should add -7 on both sides of the equation. In the next step on the left side +7 and -7 get cancel each other and in the right side -3 and -7 will become -10 (since minus multiplied with minus gives minus symbol by adding the values). In the next step value of M=-10, this can be ...

How To: Change the operator in formula from drop-down in Excel

In this Excel magic trick video the tutor shows how to change operator in a formula from a drop down using Choose function. He shows a basic work book which can be downloaded from the internet for hands-on to the tutorial. In this trick the tutor shows how to include some operators in a drop down box of a cell and based on this drop down value change the operators in equations that are using this cell there by dynamically altering the equation and the value produced using the equation. For th...

How To: Translate a shape

Learn how to translate shapes with a few simple steps. - First step: Find the new verticals under the transformation which are T3,2. Values are A=(-5,-8), B=(-3,-4), C=(-8,-3), D=(-6,1). Find the points of the verticals on the graph and connect the points one by one until you can get one shape.

How To: Graph a line using an x-y table

In this video the instructor shows how to graph a line using X-Y table values. He specifies a four step approach. In the first step he picks numbers for the value of x. In the next step he substitutes the values of x in the equation of the line to obtain the corresponding y values, in the third step he plots these ordered pairs on a graph sheet. Finally in the fourth step he joins them resulting in a straight line for the given equation. This video clearly shows how to graph a line using an X...

How To: Write a slope-intercept equation perpendicular to line

In this tutorial the instructor shows how to write a Slope-intercept equation that is perpendicular to a line and passes through a point. He shows how to do this by solving an example with sample values. He says that the slope of a line perpendicular to the original line is the negative inverse of the slope of original line. Now he writes down the slope value in the general equation y = mx + c, and by substituting the sample value in the equation he obtains the value of the Y-intercept c, thu...

How To: Solve a system of linear equations by substitution

System of equations is nothing but a system which contains more than one linear equations. This system of equations can be solved to arrive at the solution of the system. A simple system of the linear equations can be a pair of equations. To solve this kind of system you can employ the substitution method. So take the two equation of the system. Solve for the value of y in the first equation in terms of x. Now take this value of y and substitute in the second equation y value. Now the second ...

How To: Value an interest rate swap

High finance and statistical analysis are too complex for most people once they forget what they learned in high school. If you are an investor or small business owner, you can't afford to forget this stuff. This video will teach you how to value an interest rate swap, good info for financial professionals and students.