Find the rank of the matrices sin 0 cos 0 0 0 cos - sin 0 0 where x, y, and z are distinct. A = cos - sin 0 0 sin 0 cos and B = 1 I Y 2 x² y² y²

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Q: Write the equation of the graph. 2 0 -2 2

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Q: B = = v= -6 3 6 109 1 -37 -20 -2 -2 -2 1 2 is an orthogonal basis of Rª. Find [v] Fo

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Q: Given 2y + 1.6y = 5x, y(0) = 0.4. Using Heun's method with a step size of h = 1.5, find the…

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Q: 8. The first term of the sequence Is -3 and the common difference is 4, State the general term. 9.…

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Q: 3 -21 {0} -2 1 3 100 000

A: Let

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Q: Find an orthogonal set with the same span (and same number of elements) as 9 27 12 4 11 21 -10 -91 4…

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Q: Suppose A is a 5 x 5 matrix such that [30] 20 A 25 15 15 = 4 5 3 3 Find an eigenvalue of A.

A: Given that is a  matrix such that .The aim is to find the eigenvalue of .

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Q: Find the general solution of the following systems of differential equation A) 80-180 X' (t) = X (t)

A: For given differential equation we have to find the general solution. Note - According to our…

Q: Consider the following functions. f₁₁f₂ R² OR + S₁ (x₁, x₂) = x² sin(x₂) + X₂ exp(x₁) 12 (X₁1×₂) =…

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Q: 2. Determine the Laplace transform of the given function a) f(t) = e³¹t4 b) f(t

A: Laplace transform

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Q: π 4 s) Find the exact value of S 0 (sin(x) x² 5(x)) dx cos(x)

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Q: Given R = 3.1 Q, C=76 mF in the equation v (1)=Ri(1) +- Apply Lapace transform, we can have Ys 1 (s)…

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Q: Write a'= -3x+y+ln(t), y'= t'a in matrix form as 18 31 and f(t) is 181 [*] -= P(1) [*] + f(t) where…

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Q: In 2020, the financial statements of Ultimate Medical Center reported $960,000 in total revenues and…

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Q: 3. Use iteration to guess an explicit formula for the sequence. Simplify your answer if possible.…

A: Use iteration to guess an explicit formula for the sequence.

Q: Use Newton's method to approximate a root of the equation x³ + x + 3 = 0 as follows. Let x₁ = -1 be…

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Q: Use technology to find the eigenvalues of the matrix Enter your answers separated by commas. The…

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Q: Solve the equation subject to the given conditions. d'y dy dx² dx 6y=4, y(0)=3, y'(0)=2

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Q: 9. Find the average distance from the origin to a point between the spheres x² + y² + z² = 1 and x²…

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Q: For a polynomial p(x) = anx" + an-1xn-1 +... + a₁x + ao with a; E F and square matrix A with entries…

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Q: 24.1. For each of the following relations, answer the following: Is it a function, and if so, what…

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Q: 119. You are sitting in a classroom next to the wall looking at the blackboard at the front of the…

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Q: If ||u||²+||v||²=||u+v||², then u and v are orthogonal.

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Q: 2t b) L[4t +5te” +sinh(5)]=

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Q: BIJ Compute the derivative f'cts for 5./ fcto= log (x

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Q: Solve the linear second-order non-homogeneous differential equation with the given initial…

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Q: Prove that there are 2 different triangles with Angle A = 30 degrees , side a = 3cm and side b = 4cm…

A: Prove that there are 2 different triangles with Angle A = 30 degrees , side a = 3cm and side b = 4cm…

Q: Suppose y=f(x) is an odd function. If Sº3 f(x) dx = 5 and 7 f f(x) dx = 12, find the value of 17…

A: Given,  is a odd function,i.e . and We have formual,  .If interval  can break into finite…

Q: Exercise 10.1.2 Consider the following functions T: R³ → R2. For each function T, show that T is a…

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Q: C. Suppose real sequences (sn) and (tn) are bounded. (That is, that their ranges are bounded sets.)…

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Q: Please explain steps in details: The function y = x^2 from x = 0 to 2 is rotated about the y-axis.…

A: The details solution is given below