r(u, v) = (b) dA= = Tu = (c) dA = ||dÁ|| = = |x7|| = for 0 ≤ u ≤ 7 and 0 ≤ v ≤ 2.

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Q: If z≤2, show that |Im(5 + 2z - 3z³)| ≤ 33.

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Q: Problem 3. A drawer contains socks of 8 different colours. How many socks must you pull out of the…

A: From given data                      Number of different colors of socks = 8…

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Q: The Questions Question 2. The Fourier series representation, FS(t), of a periodic function of period…

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A: According to the given data, find the general solution of given differential equation.

Q: lo UcE - Uxx=0 4(x,0) = f(x) 4= (x2,0) = g(x)

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Q: 50. Let A = a c 2 d] (a) Prove that A is diagonalizable if (ad)² + 4bc> 0 and is not diagonalizable…

A: To prove the condition od diagonalization of 2x2 matrix.

Q: -nstruct an example of a 3x3 matrix, with one of its eigenvalues equal to 2, that is not diagonal or…

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Q: Consider the following ODE: 2x 12 - (₁ ²xXx ²) y² + (₁¹²2₂²) y = 0 1 1-x² y" y' Defined for x in…

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Q: (4) Similarly, find the derivative (t)||-o at s=0 in terms of (t) and V(t).

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Q: Evaluate and Graph ¹) S ( sin x (1-x) dx dy do

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Q: Suppose f(x)= x cos(x²). Compute f(37) (0). Then compute f(38) (0). and (3), lo syit

A: The given problem is to compute the values of f(37)(0) and f(38)(0). Given function f(x) = xcos(x2)

Q: 1) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 1.1., # 37 or from your…

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A: Given that:      z1+z2=-6-3iz1z2=3+11i The objective is to find all real and complex numbers z1  and…

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Q: The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been…

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Q: P4 Derive the Fourier Series of Following signal (2 =X010 = 1 mont xiia 2X x(1)₁ 7 I 1 <<-A altanut…

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Q: et F(x, y) = (y sin x)i - 3x²j. et D be the unit square (i.e. D = {(x, y): 0≤x≤ 1,0 ≤ y ≤ 1}), and…

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Q: 2: Evaluate the surface integral √₂√(² + v where S is the inverted cone z = 1-√√x² + y² with z ≥ 0.…

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