Sunday, September 30, 2012

Determination of Cross Product and Absolute Value of a vector.

Model : CASIO fx-570MS, CASIO fx-991MS

Manual determination of cross product requires determinant which is confusing and may provide unwanted error in result.You can easily create vectors in calculator and perform cross product within a minute.

Example: Find the cross product of vectors A= 3i-2j+5k and B= i+4j-3k. Also find the absolute value of vector A.(Ans: -14i+14j+14k and 6.1644)

Solution:

How to solve basic problems of statistics

Model : CASIO  fx-991MS, CASIO fx-570MS, CASIO  fx-100MS

Statistics is a very important part of mathematics. Mean ( x̅ ), Standard deviation(σn, σn-1), Σx, Σx2 etc can be calculated with calculator for any given data.

Example: The numbers of students of different class of a school are 55,58,51,63,55,59,51,60,53,55.Calculate mean ( x̅ ), Standard Deviation (σn, σn-1), Σx, Σx2 for the these

Saturday, September 29, 2012

How to integrate a function (Definite Integral)

Model : CASIO fx-570MS, CASIO fx-991MS

Calculator can easily perform definite integration (integration with limit). Mainly three inputs are required for the operation.They are a function with variable x, lower limit, upper limit.

Example: What is the value of  25(x3-5x-3)dx ?
              Options: a) 129/12, b) 363/4, c) 65/7, d) 1/2

How to solve equations with two unknowns

Model : CASIO  fx-991MS, CASIO fx-570MS, CASIO  fx-100MS

Solving equations is frequently required in almost every mathematical problems. As number of unknowns is equal to number of equations. So at least two equations are required here.Calculator takes the coefficients of x and y and returns the value of x and y. Calculator can easily solve the following equations with coefficients known.    
                      a1x+b1y=c1
                      a2x+b2y=c2

Constant and Conversion

Model : CASIO  fx-991MS
Often we use different constants such as Plank Constant ( h = 6.63*10-34 Js ), Mass of Electron ( me=9.11*10-31 kg) etc in calculation. It is difficult to keep in mind such values all the time. Calculator has kept stored such constant values in it's memory.

Example: What are the values of Plank Constant and Charge of an Electron ?(Ans: h=6.63*10-34 Js and e=1.6*10-19 C )

Friday, September 28, 2012

How to find the values of a function for different input simultaneously(Calc Memory))

Model : CASIO fx-570MS, CASIO fx-991MS
CALC memory(CALC button) lets you temporarily store a mathematical expression that you need to perform a number of times using different values.Once you store an expression,you can recall it, input values for it's variables and calculate  a result quickly and easily.

You can store a single mathematical expression with up-to 79 steps.CALC memory can only be used in the COMP and COMPLX Mode.

Example: Calculate the result of  y=a2+b2+c2+3abc when
                                                a) a=5,b=2,c=1 (Ans:60)
                                                b) a=3,b=7,c=4 (Ans:326)