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Engineering Mathematics-I (Non AICTE - March- 2023)

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(1)

 

 

 

 

 



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 



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 

 

 

 

 

 

 

 

 

(10)

   

.1

(10 x 1 = 10 Marks)

   

(1)

        

 

(200)

                         

(5)

              

(8)

   

.2

(5 x 6 = 30 Marks)

     

(6)

          

(500)

                         

(3)

              

(5)

   

.3

(3 x 10 = 30 Marks)

     

(10)

            



1

  

--- = 10c2 .i

--- = (1+x)-1 .ii

--- = sin 150 .iii --- = .iv

  

.v

--- = 1+2+3+---+n .vi

 

---Common Ratio

.vii

--- = i2 .viii

.ix

 

 

 

 

 

Diploma in Engineering

I Semester Exams: Non AICTE - March- 2023 DPCC103BST - Engineering Mathematics-I

Total Time : 3 hrs Total Marks :70

P.T.O. 1/2

Backlog

(2)

--- = A+B

 

A = [0 9 7] B = [1 3 6]

 

.x

 

 

    

.2

      

.3

---AT +A

   

.4



Partial fraction

.5

   

A-1

  

.6

   

S10

A.P. 5+10+15+--- .7



Expand

(3x -2y)5 .8

 

 

Polar Form

.9

 

   

(Cramer's rule) .10 3x+4y+5z=10 , 5x-2y+7z=20 , 2x-y+8z=13

 

A+B+C = 1800

 

.11

sin2A+sin2B+sin2C = 4 sinA sinB sinC

cos200cos400cos600cos800

  

.12

    

Range

 

Domain

.13

1+ cos2A = cotA. sin2A

   

.14

2/2

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