(2) Use Stoke's theorem to evaluate the integral curl where S is the surface given by 2= et-- - 1, 2 2 0, oriented upwards and F (z, y, 2) = yi + ze

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Q: 5 sin 3 (t ), t > 4 6. If f(t) = 0, t <

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Q: se 3 Find a basis of the null space N(A) C R of the matrix 1. -2 A = -3 E M3x5(R) 6 -1 -7 -4 5 8 -4 ...

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Q: (AUBUC) (A UB)nC (A - B)n (A - C) (B – A) (C -Ā)UB

A: Solution:

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Q: 2. Find the inverse of the following matrices using both Cofactor and GJE Methods 3416 14 -3| -5 -3 ...

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Q: may only use methods shown in class. 1.) Use the graph of f(x) below to evaluate the following: b.) ...

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Q: Q3. Solve the following nonlinear system of equations using Newton-Raphson method. Apply TWO iterati...

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Q: 1. 2 1. 1-f -1 1-f 3-f f^2+f-2 f^2-1 4 3 f+3 2-f f-3 4+2f 2f f f^4+f^3 f^3+f

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Q: Consider the given singular matrix, 8. -6 2 A 7 -4 - -4 3 If 15 is one of the eigen Value of the mat...

A: Given an eigen value of matrix A is 15

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A: cubic polynomial is of form y=ax³+bx²+cx+d 

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Q: Laplace Transformation

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Q: 20) use the error formula to estimate the error Pn approzimetiag tue 4 integrel ) (5x+7) d\ with n=4...

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Q: 3. Approximate the integral | In(1+2? )dr by Monte Carlo integration with n = 10, where x; = t;/1000...

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Q: QUESTION 4 A lottery has a grand prize of $1,000,000, 2 runner-up prizes of $100,000 each, 6 third-p...

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A: Given the data is Inlet P=2MPa, T=400°C, v=50m/s, z=10m Exit P=15kPa, x=90%, v=180m/s, z=6m

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Q: (a) G = { la, b, c, d e R satisfying ad – bc = 1}; matrix multiplication. = ( a %3D

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Q: 2. f(t) = (t + 2)² et %3D

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Q: Q3. Solve the following nonlinear system of equations using Newton-Raphson method. Apply TWO iterati...

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