Write the 3D Rotation Matrix that first rotates around the z-axis by 0₂= 45° followed by a rotation on the y-axis by 0y = 45° followed = 180° by a rotation around the x-axis by 0x

Q: u = kuzz, 00, u(0,t) = A, u₂(L,t) = B, t> 0, u(x,0) = g(x), 0<x<L.

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Q: 3 Prove that bim li a) b) lin (√√m² + +1 M-) D (√√√²+1 -√₂)=0 nti M-) D 2 ·m) = a -

A: By rationalisation

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A: AS YOU ASKED FOR COLUMN 1ST ONLY.

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Q: Solve the integral

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Q: -E (B₁ Cos 2t + B₂ Sinat) é e fit) = 122+ (B₁ Cos 2t +

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Q: If u = 2 + i and v = 2 - 2i, then what would v be expressed in exponential form? Once found,…

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Q: Use the table of integrals to evaluate the integral. T cos (0) de

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Q: Can I get d and e from above and a possible equation that can be used to solve for these?

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Q: d =489 dx Where operator D = Find the GS of (D+1)³y = ex

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Q: Then, there exists k1≠0, k2≠0  such that a,b=k1c,k1d   and  c,d=k2e,k2f. a,b=k1c,d=k1k2e,…

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Q: Problem 2 Recall the toBinary algorithm from Tutorial 7 problem 3, which finds the binary…

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A: Both are possible

Q: Write the 3D Rotation Matrix around the y-axis by 0 = 45°:

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Q: Consider the series [₁ n=1 Compute an where In this problem you must attempt to use the Ratio Test…

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Q: 9. Discuss integrability of 1 S 0 and find the value of the integral if it exists. In x dx

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Q: where x + 1>0 Find a GS of (x + 1)²y" + (x + 1)y' + y = sin(ln(x + 1))

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Q: Given the following relation R on a set A, determine if R is reflexive, symmetric, anti-symmetric,…

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Q: Let F: RP → RP be a differentiable map. Given u, v ERP, show that Du+vF = D₂F + D₂F.

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Q: 2. Find the matrix A of T so that T ([]) = A[*].

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Q: Find the solution of the initial value problem y" + y = 8(t− n) +8(t−2π), y(0) = 0, y'(0) = 0.

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Q: If u = 2 + i and v = 2 - 2i, then what would be the result of the following combinations in the form…

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A: We will use integral to find expression for s(t) and then find s at indicated value of t

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Q: 3. Supply the missing integrand and limits of integration. [9/2 (a) * 6x³y ·L. /2 (b) f₁" ["² 62²y…

A: Given , (a).   ∫15∫2y2 6x2y dx dy  = ∫  dy (b).    ∫15∫2x26x2y dydx =∫ dx now we solve the given…

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Q: Let C be the circle centered at the origin with radius 1 oriented clockwise, and let F(x, y) = ( −6x…

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Q: -fe² e-t²dt - tan x f(x) =

A: Given: fx=∫0xe-t2dt-tanx. We have to simplify f(x).