## FIRST ORDER DIFFERENTIAL EQUATION

Introduction: Example  1: Example  2: Example  3: Example  4: Example  5: Example  6: Example  7:

## Area and Volume

Area Volume Example  1: Example  2: Example  3: Example  4: Example  5: Example  6:

## METHODS OF INTEGRATION – INTEGRATION BY SUBSTITUTION (Excercise Problems with Solutions)

Soln: Soln: Soln: Soln: Soln: Soln: Soln:

## INTEGRATION – DECOMPOSITION METHOD EXERCISE PROBLEMS WITH SOLUTIONS

Soln: Soln Soln Soln Soln Soln Soln Soln Soln Soln Soln

## SOLUTIONS TO INTERNAL ASSESSMENT – I FOR ENGINEERING MATHEMATICS-II

Soln: Refer Example 2 under Family of Circles

## SOLUTIONS TO ASSIGNMENT – I FOR ENGINEERING MATHEMATICS – II

Soln:    Given  x2  +   y2   – 4x  +  6y  + 8 = 0 ––––– (1)      and x2  +   y2  – 10x  –  6y  +14 = 0  ––––– (2) From ( 1 ) 2g1  = -4                    2f1 = 6               c1 = 8 g1 =  -2                       f1= 3 centre  is  C1  = ( – g1 , – f1 )                 r1 = √( g12  + f12 – c) =   ( 2 , -3 )                 r1  = √( (-2)2  + (3)2 – 8) r1  = √( 4  + 9  – 8 )…

## FEB-2022 TAMIL NADU POLYTECHNIC BOARD EXAM ENGINEERING MATHEMATICS – 1(40012)QUESTION PAPER (Online) WITH SOLUTIONS

Solution: Refer Problem Ex. 1 Solution: Refer Problem No. 1