Q3. a) Use the Gaussian elimination to solve following system 3x + 2y = 1 x=y=2 b) Write the complex number (1+) i) in a

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Q3 A Use The Gaussian Elimination To Solve Following System 3x 2y 1 X Y 2 B Write The Complex Number 1 I In A 1 (51.64 KiB) Viewed 48 times

Q3. a) Use the Gaussian elimination to solve following system 3x + 2y = 1 x=y=2 b) Write the complex number (1+) i) in a polar form ii) in exponential form c) Find the first five terms of the Maclaurin series for sin 2x i) ii) iii) i) ii) b) Forces F₁ =i-j+k, on a particle P. Find (10 marks) Q4. a) A force F = 21-7j+12k N acts on a particle P which moves from point A (2,3,7) to point B (3, -17, 37) in metres. Find Vector AB Work done by F. F₂ = 2i - 3j+k are position vectors acting Resultant force A unit vector on F₁ X F₂ Angle between F₁ and F₂ (7 marks) (3 marks) (5 marks) [Total 25 marks] (2 marks) (3 marks) (2 marks) (8 marks) (6 marks) c) Find the volume generated by rotating the area between y = x² and x-axis where 0 < x < 1 (4 marks) [Total 25 marks]