Solve the following system of equations using Gauss Jordan method 3x - 2y + 8z = 9 -2x + 2y + z = 3 x + 2y3z = 8 rahim Th

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Q: ==4-x² - y² for which z ≥ 0 with upw= rcle x² + y² = 4 that forms the boundar

A: The Stoke's theorem states that ∫CF·dr=∬S∇×F·dS Where z=gx,y and dS=-gx,-gy,1dxdy.

Q: Q4\ Find the average value of f(x,y) = (+√y) where 0≤x≤y and 0 ≤ y ≤ 4.

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Q: Q3: Use Euler's Method to find a numerical solution of the differential equation dy y = 3 - dx X =…

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Q: VI. Find (a) Fourier Cosine Series (b) Fourier sine Series of the following using Half-Range…

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Q: The diagram shows the curve y = ex and the tangent drawn at x = 2. AY X

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Q: 2)Use Stokes' Theorem to evaluate [F.dr where E2xyi, y² j‡ 2xzk and Sis the first octant с surface…

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A: We will find region bounded by given curve to apply Green's theorem

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A: Given equation :      z2=4+4r2As we know that r2=x2+y2..............(polar form→cartesian form)So we…

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Q: 03 (1) , 0،65 = (لار = 9 + ۱ - ( - ) .b 1

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Q: x - 1 5 = y - 2 3 Z - 2 1 2xy +z = 10

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Q: Q4\ Find the average value of f(x,y) = (+√y) where 0≤x≤y and 0 ≤ y ≤ 4.

A: We have to find the Average value of given function in given domain.

Q: x1 + 5x₂ + 3x3 = 30 3x1 + 7x2 + 13x3 = = 80 12x1 + 3x25x3 2 (0) (0) with ¹ [x(0), xQ), xº)] = [1, 2,…

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Q: For each condition, give an example of a ring R. Provide a brief explanation for each. (c) integral…

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Q: Q₁: Find indicated partial derivatives дz a) yz = ln(x+z) ax อใน b) u = √r² + s², r = y + xcos t, s…

A: This is a problem of partial differentiation.

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Q: 5. Consider the permutations 1234 2 1 3 4 on the set {1, 2, 3, 4). Find fog and go f. (a) (b) F Find…

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Q: The diagram below shows the graph of y = √√x and y = x. Consider the region bounded by the two…

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Q: Calculate the Laplace transform of: a. f(t) = t sinh (at) b. f(t)=1²e-t c. f(0) = √i

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Q: Use Stokes' theorem frotF. ds to evaluate F(x, y, z) = (x + tan¯¹yz)i + y²zj + zk, S is the part of…

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Q: 4. Given the functions X, (x)-(+) and (x)-(+) = = rapidly than f₂ f increases fill in the blank…

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Q: Obtain the solution of the following differential equation y"-4xy' +(4x² - 2)y = 0

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Q: 9. For the differential equation condition y(0) = 1. dy -- y = ey², solve for y = f(x) given the…

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Q: Problem 1. the second derivative Consider the three-point centered difference formula for f"(x) =…

A: Centered difference formula:-  f''x0 = fx0-h -2fx0 +fx0 +hh2 Approximate error:-ε ≤ h212 f4μ Here,…

Q: U (x, g) = x₁ - (100 /g) price of whine is It of buile price of ice rink is 10€ square meters income…

A: let's understand it From step were equation is: ∑i=11000100g2=μ(g) and we know that, μ(g)=10

Q: 2. (a) How many lines of symmetry does a regular octagon have?

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A: From the given data we can conclude that, Proportion = 25% Margin of error = 1.3%

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Q: (c) The figure shows two similar prisms, if the volume of Prism I is 40 cm³, find the volume of…

A: Solution :-