(d) 2x₂ + 4x3 = 8 2x₁ + 2x₂ = 6 x₁ + x₂ + x3 = 5

Q: Question 24 Using Green's Theorem, find the outward flux of F across the closed curve C. F = xyi +…

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Q: Write the function f(z) in the form u + iv: (a) z + iz²; (b) 1/z; C - C = . (c) z/z.

A: According to guideline we need to solve only one question.

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Q: 21: Slope Fields. (1.3) I can use a given slope field to sketch a solution to a first-order ODE.…

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A: Right side will be π^4/96

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Q: Evaluate the work done between point 1 and point 2 for the conservative field F. Here you can assume…

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Q: 10 What is 44 in radical form?

A: 4(10/4) Radical form given below

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Q: + tan dy 37 Ify = tan -1 -1 1 2 x +5x+7 1 2 1 2 1 2 x² + x + 1 +... to n term.

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Q: 44 If 2x=y¹5+y-1/5, then express y as an explicit dy = 25 y. +x. dx function of x and prove that (x²…

A: We will form a quadratic equation for y15 and solve it to get explicit value for y . Then use…

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A: We will  draw the diagram and use property ( law  ) of triangle to find required distance

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Q: Question 29 Solve the system of equations. x1 + 3x2 + 2x3 = 11 4x2 + 9x3 = -12 x3 = -4 O (1, -4, 6)…

A: The given problem is to find the solution for the given system of linear equations.

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Q: Q. 4 Use Secant Method after two iterations to find the root of: f(x)=x³-20 Taking Xo 4 and x₁=5.5…

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Q: Problem F.1 where x > a, a constant. Use any method to find the GS: 2 y"" (x − a)² y' 1 (x − a)³

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Q: Determine L{"e3r cos(t-7)dr} 0 Select one: (8+3)(82+1) 8 (8+3)(82-1) 8 (8-3)(82+1) 8 (8-3)(82-1)

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Q: Problem 8.4. Prove that II (¹ + x²") = +"= n=0 I

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Q: Let f: R\{3} → R\{5} be defined by f(x) = 5x/(x-3). Show that f is bijective and find f-¹.

A: Given f:ℝ\{3}→ ℝ\{5} defined by f(x)=5xx-3. We have to show that function is bijective, and we have…

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Q: If a, b and c are three positive real numbers, then find the ²+1 a+b minimum value of a² +1₁ 6² +1…

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Q: Example: Find the first and second order derivatives of f(x) = xe* at x=2.5. Compute the percentage…

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Q: Question 25 Calculate the circulation or line integral of the field F around the closed curve C. F =…

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Q: .1) following transformations: a) x − ¹ {\ c). (s+2) s(s-3) = b) L{^(3-2e-3t)²}= s+5 (S-1)²+9 ? -…

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Q: Find the solution of the following equations using the Jacobi and Gauss Seidel iteration method…

A: Question (b) using gauss seidel method asked and answered.

Q: A hand-held calculator will suffice for this problem, where an initial value problem and its exact…

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Q: Find the partial fraction decomposition for: 8x²+9x-2 x³+4x²+8x+8

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Q: 5. Let h - Ah = x = [1 + ²√5 h = √5], 0 where h is a real parameter. (a) Find all values of h for…

A: The question is from stability analysis.

Q: Suppose F(x, y, z) = (x, y, 5z). Let W be the solid bounded by the paraboloid z = x² + y² and the…

A: F→x,y,z=x,y,5z The solid is bounded by the paraboloid z=x2+y2, z=25

Q: Problem 1. a2x² + ... +a,x". Then (a) (b) (c) If A is diagonalizable, that is A = Prove that f(A) =…

A: Given that A is diagonalizable, that is A=QDQ-1. Suppose fx=a0+a1x+a2x2+…+anxn. (a) Therefore:…

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Q: An experiment consists of rolling two fair dice and adding the dots on the two sides facing up.…

A: Given: The two fair dice are rolled and the event is equally likely.To find: The probability, PE…