Evaluate the integral [] exp(-5x² − 2xy − 5y² + x)dxdy R2

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A: Given function f  f(x,y,z) = x4e9x + y6z9  We need to find the gradient field F for the given…

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Q: a Orthonormal basis of R² g✓ Isomorphism c Orthogonal Set b Positive Definiteness ✓Nullspace d✓…

A: You have done wrong c, e and j part.

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A: Use Laplace to solve.

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A: In this question,  we solve given homogeneous system by elimination method.

Q: 9. f(x)=3log, x-4

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Q: Find the value of T sin (77 14 sin 3π 14 sin 5T 14

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Q: 1. Find the value of k so that the ODE (y³ + kxy¹ − 2x) dx + (3xy² + 20x²y³)dy = 0..

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Q: (c) 175//16 and 175%16.

A: These are the problems of discrete math.

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A: Solve the differential equations using Laplace transformation

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Q: Determine an optimal mixed strategy for the row player, R, for the game whose payoff matrix is given…

A: Given: Payoff matrix, 5224To find: An optimal mixed strategy for the row player, R

Q: 2) Use the definition of integrals (i.e., limit of Riemman sum) to evaluate the integral: S²₂ (x² +…

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Q: Solve the following initial value problem. y(3) - 2y + y' = 9+5xe*; y(0) = y'(0) = 0, y''(0) = 1 The…

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Q: 1) A particle moves in a velocity field (²xy + 10, x²) starting from point (0, 1) at t = 1. Where…

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Q: Draw the function showing its domain and range f(x) = sgn (x²+4) f(x)=sgn (x² - 4) +2

A: This question from real analysis .

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Q: Consider the differential equation y' = (y² + 3y + 2) ln(1 + y²). (a) Find the equilibria and…

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Q: 3. |If x1 = [1,2,3,4]'; and x2 = [2,2,2,2]'; then what is y = x1¹*x2?

A: The given vectors are, x1=1,2,3,4' , and x2=2,2,2,2'. To Find: y=x1'*x2.

Q: 1-i<z-i<3-i 12+(-1)2<z-i<32+(-1)2 2<z-i<10 I  dont understand this

A: As you didn't understand the line so, i rewrite in below step.

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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: + tany)dx + xsec³ydy where C is the curve 4) Evaluate (¹ Y=X²-1 from (1,0) to (2, 3)

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Q: If a₁, 92, a, are in arithmetic progression, where a > 0 for all i, then show that 1 √a₁ + √a₂ 11 +…

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Q: 4x₁ + x₂ + 2x₂ = 16 x₁ + 3x₂ + x3 = 10 x₁ + 2x₂ +5x3 = 12

A: As per our company guideline we are supposed to answer only first qs, kindly post remaining qs in…

Q: Consider the following initial-value problem. -1 -2 *'- (-3-²)* +(²). ×(0) - (-3) X' = 4 Find the…

A: We solve the initial value problem.

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Q: #18

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