INDICES

Answer all of the following :

1.   Simplify
   
      (a)    16 ^(3/2)


      (b)    (2/3)^(-2)


2.   Find the value of x for
   
      (a)     x^3 = 27


      (b)   2x^4  = 32


      (c)   5x^3 = 5000


3.  Find the value of y  for      2y^(4/4) = y^(1/2)


Happy trying !

   

MACLAURIN 'S SERIES

STANDARD SERIES

Exponential Series :

f(x)     = e^x =>    f(0)   = e^0 = 1
f '(x)   = e^x =>   f''(0)   = e^0 = 1
f ''(x)   = e^x =>   f ''(0) = e^0 = 1
.
.
.
f (n)(x) = e^x =>   f(n)(0) = e^0 =1

Hence,  

 e^x  = 1+ x + (x^2)/2! + (x^3)/3! +...+(x^n)/n! ....     for all value of x.

there are more.....

ALGEBRAIC EXPRESSIONS

Simplify the following

1.  x - 3x + 7x

2.  5m - 12m + 13m

3.  h + 2h - 3h + 4h - 5h

4.  k - 2k + 3k + 4k

5.  7r - 2r + 5r - 3r

Happy Trying !

LINEAR EQUATION

Solve the following linear equation :

1.   2x -1 = 19

2.   5x +2 = 22

3.   5x - 7 = 53

4.   15x  - 3 = 42

5.   -3m + 1 = 7

Happy trying !

MACLAURIN'S SERIES

Show that    1/(1-x)  =   1+ x+x^2+x^3+...


[ Note: use Maclaurin's theorem]


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WHOLE NUMBER

Whole Number : 0,1,2,3,4,5,...


Answer all of the following:

1.   Calculate the following

(a)  22 + 89

(b)  135 - 68


2. Round off the following numbers to the nearest hundreds

(a)  3217

(b)  21591


3. Find the value of x

(a)  2x - 7 = 13

(b) 7x - 3 = 32




Happy Trying !

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MODULUS

Find the solution for the following


(a)  |2x-1| > 3

(b) |2/(1-x)| < 1/2


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STATISTICS : Mean, Mode and Median

MEAN  is   the sum of all data over numbers of data.

MODE  is the data with the highest frequency.

MEDIAN is the data that is located in the middle in an ascending or descending order.



The   following are Mathematics  marks of a group of students.

73  50  48  32  86
60  58  90  53  65 

Find the mean, mode and median of the above data.


Happy trying !

DIFFERENTIATION

Differentiate the following :

1.  y= 2x

2. y= 3x^2 - 7x

3. y= 4x^3 + 5x^2 - 7

4. y= -5x^3+7x^2-2

5. y=7x^2-6x+8

6. y=(7x^2-14x)/2

7. y=(5x^3-4x^2+7x)/x


Happy trying  ....

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