Verify Stokes' Theorem for the given vector field and surface, oriented with an upward - pointing normal. F = (:yz, 0,x:), the portion of the plane where x,y,z ≥ 0 +~+z = 1, X y 2 3

Q: 1. Derive a forward finite difference approximation of f" in the following form: a3f3+ a2f2+ a1f1 +…

A: The final answer is:The forward finite difference approximation of f′′(x) is:…

Q: 1 1. y'+y=x 3 3 1 y' + y = x²³y³ { \ = = = x² + cr² } X 2 y 2 4

A: Given differential equation .We have to solve the differential equation.

Q: find generating set for the null space of matrix A=[1,1,1;0,-1,-3;1,1,1;0,-2,-6]

A: If you have any questions please ask me comments sectionPls like this answer Explanation:

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A: Given surface is,This equation represents a surface in three-dimensional space.To find the:

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A: mber 3636

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A:

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Q: *16. Recall that N(s; e) = {x:|x − s| 0 there exists M€ N such that n≥M implies that s, € N(s; e).…

A: Question is solved below Explanation:

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Q: Show that if G has no even cycles, then each block of G is either K1 or K2 or an odd cycle.

A: A thorough explanation is provided below.   Explanation:

Q: Use the Egyptian method to multiply 35 by 21.

A:

Q: 2. Consider the transformation T : R¹ → R³ defined by - - - T(x1, x2, x3, x4) = (4x1 + x2 − 2x3 −…

A: "Since you have posted a question with multiple subparts, we will solve the first three subpartsfor…

Q: ttle (L unit lower triangular) and Crout (U un ositions ALU of ique A = LDÛ decomposition of the…

A:

Q: 9. Let W be the pyramid with top vertex (0, 0, 1), and base vertices at (0, 0, 0), (1,0,0), (0,…

A: Let W be the pyramid with top vertex (0,0,1) and base vertices at (0,0,0), (1,0,0), (0,1,0), and…

Q: QUESTION 5 Let I be the union and S the intersection of the indexed family of sets {A}, where A are…

A: Option 3 is correct, T=[-1, 3), S=[0, 2] Explanation:Let us look for the…

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A:

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A:

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A: Given Information:The indefinite integral is given as .The definite integral is given as…

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A: We have to identify the step, which should be labeled with "Because ".

Q: A student has evaluated this integral as follows. The unit normal to S is the vector N = xi+yj+zk.…

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Q: Please Solve this question using advance math and differential equation, pls solve manually, i need…

A: Q1-. 5 ROOTSQ2. 2+j30Q3.4Q4.some detail is missing may be initial condition.  However…

Q: 3 Find the Fourier series expansion for the function -2< x < 0 0 < x <1, 0 f(x) = = X 2-x 1 < x < 2…

A:

Q: Ind a recursive relation satisfied by sn n-1 + 3n-14-1, for n Є N. 3n−1 + Hint: Reverse engineer the…

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A:

Q: Let [1 A = 3 1 2 0 1 2 2 10 13 Find all vectors in the null space of A.

A:

Q: (2) Find the solution of the differential equation ' satisfying the initial condition (0) = (1, 1),…

A:

Q: Number 6 (b and d only!)

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A:

Q: Hint is given on one photo

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Q: 2. From the following table of values of f(x) = sinh x find f'(1.4) using: х 1.3 1.4 1.5 1.6 1.2…

A: A step-wise solution is given below.Explanation:                    Step 1:Based on these…

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Q: 3. Consider the closed Newton-Cotes formula with n = 4 (Boole's rule): b a I(f) 14,closed (f) = 90…

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A: Given matrix is .Show the matrix is positive definite and find the optimal value for w for the SOR…

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A: Given in the interval [0,2].The Runge-kutta method is given by where,

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Q: 2 2 2 Find the center of mass and the moment of inertia about the y-axis of a thin shell of constant…

A:

Q: 3. Given the expression, H(m) = 28-3m² + bm, determine the following a. The value(s) of b when the…

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Q: If mPF 42° and mXW = 122°, find m/Q.

A: (a). Given,                    To find the value of

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A:

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Q: (c) We want to find a three-point formula, [*^* ƒ (x)dx = w₁ f(x1) + w2f (x2) + wzf(xx) + E, -h…

A: Images attached. Explanation:

Q: 2. Show that the complex conjugation function (as discussed in class) is a bijection.

A:

Q: Plz explain properly.

A: The objective of this question is to find the Cartesian product of sets A and B, the relations R and…