0 -1 2 A = 2 1 1 -1 3 -4

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Q: 4. (a) Show that the divergence theorem holds for the vector field F = 2xî + yz} – 3z²k where o is…

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Q: ) Let F(x, y) = (3x² + y²)i + 2xyj. (a) Test if F is a conservative vector field. (b) If F is…

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Q: 3. Find the following limits. (a) 24 – 1 lim z→i z – i (b) z2 + z – 2+ i lim z→1+i z2 – 2z + 1

A: To find:a limz→iz4-1z-ib  limz→1+iz2+z-2+iz2-2z+1

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Q: 3. Draw the adjacency matrix for the graph below: | 10 4 40 20 8 20 2 10 2 4 10 12 10 6 9. 4. 3.

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Q: j" |log-2; 3 + j4 cos(3 + j4) ノジグ sin(22 – 19°)

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Q: Q4. K=0 K=1] K=2 | K=3 K=4 L=00 L=10 L=2 | 0 L=30 L=4 0 2 24 2 6 28 8 16 24 332 18 36 54 72 32 64 96…

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Q: 4. (a) Prove that H, { f(x) [Hn-1{f(x)} + Hn+1{f(x)}] and hence find T. 2n S (x – a) Hn ,a > 0, k >…

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A: Stokes theorem is used to find out the integration

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Q: 1 Find the inverse Laplace transform of F(s) = 2(s² + 25) %3D

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Q: 7. Calculate the value of In17 with accuracy ɛ = 10-0.

A: Let us calculate ln17 with the help of Taylor series in the next steps.

Q: tan(2 – j5) j(2-j5) +7- jv2 In(-5)| (3220° – sin 20 + jln5)*|

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