(i) Find L(cos(at + b)] where a and b are constants. (ii) Using Laplace transform, evaluate fote-³t cos 2t dt

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Q: sider (x, y, z) = 2xyz - 2²y³ v(x, y, z) = xy² + y sin(z) F(x, y, z) = F₂(x, y, z)i + F(x, y, z)i +…

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Q: 2.1 Find the appropriate Lagrange interpolating polynomial using the following data table 0 0.5 1…

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Q: 7:49::? :81

A: Answer 7 : 49 :: ? : 81

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Q: (A) Find div (e grad u xf) at (2,1,0) where x-y and =(x²+1)i+sec¯¹(x² −y)j + 3y²z. k YZ 11=

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Q: Part 3 - Discussion Question Explain a "real world" example of a discrete relationship and also a…

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Q: There are n parking spots 1, 2,..., n on a one-way street. Cars 1, 2,..., n arrive in this order.…

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Q: integra

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Q: n D मन मो 2 x 2 2 121 2 n (-1) X 20-1 21-1 M-1 XER x 21-1 211-1 K+o maclaurin series Discuss the…

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Q: Show that the limit of the function f(x,y) = at (0,0) does not exist. (x+y)² x² + y²

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Q: 9: Deduce Fresnel's coefficient of drag from Relativistic velocity addition the Or moks cofficient…

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A: Given F=2xz i+2yz j+x2+y2k (a) So, p=2xzq=2yzr=x2+y2 Now, py=0pz=2xqx=0qz=2yrx=2xry=2y So, we can…

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Q: Find the root of equation by usung the newton raphson methode f(x) = 0.48x³ -2.7x-5.36

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Q: True and false Let a, B be two real values of k for which the system of equations x+2y+z =1 x+3y+4z…

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A: Let F→=f1, f2, f3. The gradient of the scalar field: g is defined as: ∇g=∂g∂x i^+∂g∂yj^+∂g∂zk^. The…

Q: Given that 2 ≤ f(x) ≤ 3 for −2 ≤ x ≤ 2, estimate the value of 2 -2 f(x)da < -2 f(x) dx

A: Given that 2≤fx≤3 for -2≤x≤2.   To estimate: The value of ∫-22fx dx

Q: 4. (a) Define a harmonic function. (b) Prove whether u(x, y) = ² - 2xy + y² is a harmonic function…

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Q: Problem 4: Define freedholm, Volterra and Singular integral equation. Show that the function 1 g(x)…

A: Introduction: A system of ordinary differential equations having a solution and derivative values…

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Q: π/2 g(x) = 2x + 4 sin² x g(t) dt. - n 0

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Q: 11: Solve the homogeneous Fredholm inte φ(x) = λ Se*e* o(t) dt

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Q: 5) Find factorial of N?

A: 5) To Find: The factorial of N.

Q: 3 3 G login - Search ||| X Black Students Home…

A: a)  Probability of card drawn is a face card  = Total Face card / Total card = 12 / 52 = 3/13

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Q: 6), then the congruence has a unique solution modulo p. 11. Show that the congruence x³ = 3 (mod 19)…

A: 11. To prove that the congruence x3≡3 mod 19 has no solutions, whereas x2≡11(mod 19) has three…

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A: Note: The value inside the circle is incorrect. The proof for the correct value is given in the…

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Q: . lima 9(x) = 0 if and only if limx→a g(x) = 0.

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Q: find FoT the: f(t) = 35gh (st) - W let: 35gh (34)= 6 13

A: What is Fourier Transformation: Fourier transformations are examples of integral transformations. A…

Q: Show that f(x, y) = point (5,-3). 3x+2y x+y+1 meets the three conditions for continuity at Add-ins…

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