(b) Solve for x if X 1 -1 0 1-2 1 2 -1 = 7.

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Q: 9. √√4-4x² Convert ₁42(4-4x² - y²)dydr into a triple integral with dV = dydzdx. C

A: We can solve as follows

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Q: 4. Give the general equation of the plane containing the point (3,-1,4) and 2- z perpendicular to…

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Q: (~6 }] រឺ ទ 1 sh 2 2. x< 2x

A: This is a question from Laplace Transform.

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Q: IDENTIFY if the four periodic functions below are: i) even or odd, ii) if the coefficient ao is null…

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Q: ermine whether the system is homogeneous, find its order, and write it in matrix form.

A: This is the problem of the system of the differential equations.

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Q: Triple Integrals. Divergence Theorem of Gauss How does learning it help us?

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Q: Obtain the TSE of h(t) = 2t (1+t)¯¹ in powers of (t – 1). - O-1 + ½(t-1)-(t − 1)² + ½ (t− 1)³ – ½⁄(t…

A: As per the guidelines  I am answering only 1 question.

Q: 3 Let A = . Find, 4 1 a) Find the eigenvalues and eigenvectors of A. b) Verify that det(A) is the…

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Q: Find a Fourier series expansion of the periodic function f(t)=-2t, πstsa f(t) = f(t+2π)

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Q: Find the area of ​​the region that lies inside r = 1 - sin (θ) and outside r = 2 + sin (θ).

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Q: n +∞ Determine whether the series Σn=1 3n+¹ ln(n + 1) is convergent or divergent.

A: The given series is      ∑n=1∞n23n+1lnn+1 To prove: the given series is converges or not.

Q: let U and y be bounded sets. if u er i tre M+ (V) ≤M₂ (V) and M^ (U) SM³ (V) 1

A: Given :  U and V are bounded sets with  U⊆ V. To show :  m*(U) ≤ m*V  and  m*U ≤ m*V,  where m*U and…

Q: What is S (x² + 2x)² dx? S (x² + 2x)²dx = 1x¹ + x³ + 3x² + C 4 S(x² + 2x)²dx = ¹ (x² + 2x) ª 1 4 3 f…

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Q: A skydiver weighing 193 lbf (including equipment) falls vertically downward from an altitude of 5000…

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Q: 6. The ideal gas law describes the state of a hypothetical ideal gas, i.e., PV = nRT where P is the…

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Q: A. Find the inverse Laplace transform of the following transfer functions. 26-s² 7. s(s² + 4s +13)

A: Solution  L-126-s2ss2+4s+13 Take the partial fraction :- =L-12s+-3s-8s2+4s+13

Q: (g) A = 10 ; discuss your answer in dependence on the value of the parameter a € R;

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A: To find the equation of the plane containing the point (3,-1,4) and having direction ratio 2,1,3 .

Q: 7. Determine the dimensions of a rectangular box, open at the top, volume of 32 ft3, and requiring…

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Q: A. Find the inverse Laplace transform of the following transfer functions. 1. 11-3s s²+2s-3

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Q: The Population of a small town,p, is modelled by the function p(t)=10 050 + 255t-20t^2, where t is…

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Q: (0, -5<z<0 0≤z<1.then (11, 1≤z<5 If is the Fourier series of g(z): =92, f(2)= 20 What does f(-5)…

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Q: HW.3 Euler's Method Find the Fourier series of the function T 1 <x<2 1) f(x) = 3π 2<x<Z -1 Deadline:…

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Q: Cos(x), Sin(x), Cot(x) and Csc(x). b) Solve the below triangle

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Q: a) UU+1=0 b) - U+xu = 0 c) UU+uux = 0 Tipo Orden Grado Lineal

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Q: b) If P−¹AP and P-¹BP are both diagonal matrices, show that AB = BA.

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Q: Find the directional derivative of fix, y) = sin(y) at the point P (1.5) in the direction

A: Given f(x, y)=ex sin(y) and point is P(1,π2)   To Find: Directional derivative of f(x, y) at the…