7/23/2019 M1_Assignment-II(2) For Rits CSE / EIE / Civil Students

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Royal Institute of Technology and ScienceAssignment II (2)

Year : I Mathematics-I

Branch : CSE / EIE / Civil

1. Find the perimeter of the loop of the curve .)5)(2(922

axaxay =

2. Find the length of the curve 22222 8)( yaxax =

3. Find the perimeter of the cardiod )cos1( +=ar

4. Find the surface area of the solid formed by revolving the cardiod

)cos1( +=ar about the initial line.

5. Evaluate 2

0

3

0

dydxxy

6. Evaluate +1

0

22 )(x

x

dydxyx

7. Evaluate 1

0

2

1

3

2

xyzdxdydz

8. Evaluate 1

0

1 1

0y

x

xyzdxdydz

9. Evaluate 1

0

1

0

1

0

2 22x yx

dxdydzxyz

10.Solve 1)0(,01)1(22

==+++ ygivenydx

dyx

***

Note : Submit this assignment on Monday 7th March by 9:30 A.M