Question 10 Evaluate the double integral ff (2x + 5y) dA by changing to polar coordinates where R is the region in the upper half plane bounded by the circles x2+y21 and x2+y2=9.

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A: We have to find the domain of vector function.

Q: 1. y" + 5y + 4y = 5e4x + 4, y(0) = 0, y'(0) = 1

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Q: Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First…

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Q: 20 D 25 37 16 18 29- 3 B 45 E A Find the minimum cost spanning tree on the graph using Prim's…

A: Given a graph:To Find:Minimum spanning tree and minimum cost.

Q: y" + 5y + 4y = 5e4x + 4, y(0) = 0, y'(0) = 1

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Q: Let V₁ = (1,0,0), V₂= (2,2,0), and V3 = (3,3,3). (1) Show that the set S={{V₁, V₂, V3} forms a basis…

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Q: 3. Resonance occurs when the forcing is a solution of the homogeneous equation. In this case, we can…

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Q: 8. Find and classify the equilibrium points of the following equations: (9+x-3y)x (-8+4x−y)y x ý…

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Q: y’’’-y’’+y’-y=0 y(0)=1 y’(0)=0 y’’(0)=-1

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Q: Exercise. 8. For the matrix A, compute A² = AA, A³ = AAA, and Aª. Describe the pattern that emerges,…

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Q: Use method of successive approximation to solve the Deifferential equations up to 3 substitutions…

A: , We have to solve differential equation using successive approximation method.

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Q: ³√ √ (5₂ (5x + 3y)dA where R is the parallelogram with vertices (0,0), (-1,-2), (-4,-3), and…

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Q: Change the order of integration. √²+1dx dy The answer should be in the form fff(x,y) dy dx, where a…

A: Given: .Objective: To change the order of this above integration and evaluate the integral.

Q: 8. Find and classify the equilibrium points of the following equations: (9+ x − 3y)x (−8+ 4x − y)y…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 3. Is the series n=1 2n convergent or divergent? Hint: quotient…

A: The given series is .

Q: x''+6x'+13x = 10sen5t ; x(0)=x'(0)=0   Encuentre x sp (t) en la forma x sp (t)= Ccos(ωt-α) y la…

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Q: 4 sin 3t

A: We need to find the Laplace transform of 4sin3t using definition via integration.

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Q: y" + y = csct cott

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Q: CO 8 m = 7 6 5 4 3 2 The shaded area in the above graph = where c = d= and b = d (ma+b)da

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT n) V6x +2¹ (2x²) dx

A: The given integral is .The objective is to solve this integral.

Q: Suppose f(x) = = -2x + 3 and g(x) = -5x. Define (f, g) Let h(x) = a f(x) +b g(x). A function h(x)…

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Q: Show that Cose 2-in sin a in cylindrical coordinates using the following relations 20 5x=rcost…

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Q: Compute 1 $ Jzmi\mu (22 +4)24z

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Q: 5. Find the area of the surface generated by revolving the region bounded by the curve 1 ² = x and y…

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Q: Approximate the following integral using both Trapezoidal Rule and Simpson's Rule with n = 4: [²√2…

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Q: 7. Find the volume of the region enclosed by z = 1 - y² and z = y² – 1 for 0 ≤ x ≤ 2.

A: The region is enclosed by: and .

Q: 2. Solve: a. y" +6y' + 10y = 0 b. y" - 6y' + 9y = 0 с. - Бу² + 6у - 0

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Q: − cos(3x − 4) + 11 have? C. 1. Which of the following does the function y = - a. reflection in the…

A: Let's analyze the given function, y = -cos(3x - 4) + 11 and determine which transformations it…

Q: Determine which of the following systems is homogeneous and which is non- homogeneous: dx dt dt dx…

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Q: Determine the functions yh(t) and yp(t) associated with each of the following first order linear…

A: The difference equations are given asTo solve and check the convergence.

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Q: Change the order of integration. Буратин √x³+1 dx dy The answer should be in the form integration…

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Q: 2x-16x-66 2. Sketch the curve f(x) 2 x²-15x+44 important points/values (ex., asymptotes, x- and…

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Q: Q5 Answer (b) A study was conducted to determine the relationship between weekly advertising costs…

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Q: Evaluating the integral by making an appropriate change of variables. SS sin(9x² + 4y2) dA R Where R…

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Q: use the lagrange multiplier to find extreme points of f(x,y,z) = 2x+z over the intersection of…

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Q: Question 3) NO CALCULATOR] Consider the equation y2 - 2xy = -5. (a) Find the equation of the tangent…

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Q: Y 9729 e) f) 4x dx (6x²+2) S 2x² dx (SXH) 3 5x ox (7x42)3

A: It is given,Let, So, the integral becomes,So, answer is