5. Determine the equation of the plane that contains the point (0,3,0) and the X = 1 line y = 2t z = 1+t

Q: @ Fs{f"cx>}=V Pf 66)-P Fs {f cx)} | proof: H.w.

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Q: 2. Expand f(2) = in a Laurent series in the region 1 < |z – i| < v5. %3D 22 +2z

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Q: :Define the concept of field. Is (R-{0},+,.) field?

A: Solution:-As per guidelines I submit first question only.

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Q: 1. Find the inverse Laplace Transformation of the following: 2s2 + 5s – 4 a) F(s) s3+s2-2s

A: We have to apply inverse Laplace transform.

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Q: Q3: (A) Prove that 1. There is no simple group of order 200. 2. Every group of index 2 is normal.

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Q: 7: Define the zero divisor. Is every ring has zero divisors?

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A: Given,

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Q: Given that ||ū + 3w]| ( Hint: Use ||ā||² = ā · ā) 12 and ||ū – 3u|| = 2, find ū · i.

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Q: 6 cm 12 cm 4 cm 7 cm

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