6. Find the volume inside the paraboloid z = 9-x² - y², outside the cylinder x² + y² = 4, above the xy-plane.

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Q: 3. L {e-5t + t²}

A: We have to solve the given laplace transform.

Q: (-2)²¹ 8 n=1 nn a. Converge b. 0 c. Diverge d. Absolutely Converge is b O d O a O C O

A: Solution:-

Q: Y plus Which of the following is not linear in the variable x and y? RESTA 2x - 3y = 4 ³ + ² − 1 = 0…

A: .

Q: 1. 3. 3- 7+ 3- 2÷ 1- 24x 11+ 6x 1- 1 11+ 1 2÷ 1 N 2÷ 2. 2÷ 10+ 1- 3- 24x 3- 1 6x 2÷ 2÷ 3- 9+ 2- 2÷…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

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A: Solution :-

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A: Please see the attachment

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A: The given relation is: Φ(n)=∑d|nϕ(d).....................(i) where ϕ(n) is the Euler's phi function.…

Q: J32 For z = cos(x-4y) show that # дудхду 332 дугах

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Q: Hi there! is ~ the same as the symbol in the question?

A: Solution

Q: 8. ) Draw the directed graph of the binary relation S on B = { a, b, c, d, e} by S = {(a, b), (b,…

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Q: Given a symmetric group S3 = {(1), (1 2), (1 3), (2 3), (1 2 3), (1 3 2)}. Given a set H ≤ S3 with H…

A: Given symmetric group ,                                 S3={ (1),(1 2),(1 3),(2 3),(1 3 2),(1 2 3) }…

Q: (11): pxy+pq+qy=yz

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: 2. For all equations e, if e is quadratic, then * e has at most two real solutions. Which of the…

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Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (2, 2, 1) in the direction…

A: The solution is given as

Q: If f, g L₂ then [S* S(x)g (x) dx ] * ≤ [f*° ƒ^²(x)dx ] [1° g² (x) dx]

A: This is the famous Cauchy Schwarz inequality for integrals. It follows by working with quadratic…

Q: 9. L7t³2sin3t}

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Q: mial. Let g in F[x]. Then there exist unique polynomials p, 9 in FIX]

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Q: Write the following expression in the standard forma+bi: a. e^z=-8

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Q: 6 Let g(x) = and f(x) = ln x². Then f'"'(x) = g(x). Select one: O True False

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Q: in a graph What is color-critical or k-critical? And give an examples

A: What is color critical or k-critical .

Q: B) ANALYTIC AND HARMONIC FUNCTIONS (SESSION 2) 1. Show that if f and 7 are both analytic on a domain…

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Q: When writing a matrix in row echelon form using gaussians elimination, is there only one correct…

A: Solution:-when writing a matrix in row echelon form using gaussian elimination,

Q: 9. E is the binary relation defined on Z as follows: For all m, n E Z, mEnm-n is even. Is this an…

A: Here, E is an equivalence relation on Z. To show this,  we will show that E is reflexive relation,…

Q: f(x) = (sinx if 0 π

A: This is a question of Fourier Analysis.

Q: Determine el valor de a € tal que: 8 et 12x== f -dx = e 2x a +1

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Q: (13): p²+q²-2px-2qy+2xy=0

A: Q(13) Given the partial differential equation   p2+q2-2px-2qx+2xy=0 To solve it using Charpit's…

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Q: Solve the following IBVP: UU+2, 0 0, u(0,t)=0, u(1,t)=-1, 120, u(x,0)=0, u(x,0)=1, 0≤x≤1.

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Q: The vector F = -ar + 2a expressed in RCS and in terms of is O None of the choices O - = (−cos0sind…

A: We can solve this using spherical co-ordinate matrix

Q: Laplace Inverse Transform of S+7 s²+25+5

A: Given :  F(s) = s+7s2+2s+5. To find :  The inverse Laplace transform of F(s).

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A: For the given problem the feasible region is region-3 .

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Q: Calculate the expected payoff of the game with payoff matrix 20-1 2 -100-3 P = -200 1 42-2 2 using…

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Q: Write the following system of equa √3x - 2y = 3 | 5r+

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Q: Which can be said correct given the augmented matrix below? [ 1 3 0 | -5 ] [ 0 0 1 | 3 ] This matrix…

A: Given augmented matrix, AD=130001-53 AX=D130001xyz=-53 On solving the given system in variables x,…

Q: If the world's population grows at a rate proportional to the present population and it is recorded…

A: 20 billion population reached in 2121. Hence correct option is second one. For details calculation…