8. Find a basis for the subspace w= OF 122 1X, +2X27

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A: Given below solution Explanation:Step 1: Step 2: Step 3: Step 4:

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A: Question explained below :Explanation:ANSWER :​​

Q: 8 Question 2 Given A = find the Jordan form J and a matrix M such that J = = M-1AM. Use this to find…

A: eAt=[e6t−ie6t​e6tie6t​]    A10=[610−i610​610i610​]Explanation:To find the Jordan form J and the…

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A: We have to replace ? sign with an expression that will make the following equation valid

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Q: Ex 4. Let h(x) = x²/3 (2-x). i) Find the open intervals on which h(x) is increasing and decreasing.…

A: We will find the increasing and decreasing interval. Then we will find extreme value.

Q: 7. (a) Use Cauchy's Formula to show that 1 Sz-11=1z²²-1 dz = πi, 1 Sz+1=1 z²-1 dz = =πί (b) Using…

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Q: Is the set swer. {(1,2,-1,3), (1,-1, 2, 0), (-2, 0, 6, 6)} a basis for R¹? Justify your an-

A: BASIS:A basis for a vector space over a field is a linearly independent spanning set. In other…

Q: If f(x) = (n³+n2 log n)(log n + 1) + (17 log n+19)( n³ + 2), then g(x) = ________

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A: falseExplanation:Step 1: Step 2: Step 3: Step 4:

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Q: 4. Using Laplace Transforms determine the solution y(t), to the following initial value problem dy…

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Q: 1. Use induction to prove the following: 2 2n²+37²+n a) 1² + 2² + ... + n² = +n² = 2n² +31 6

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Q: this part Give a big-O estimate for each of these functions. For the function g in your estimate…

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Q: Determine a formula for 12+ For n=1, + For n = 2, 12+ For n = 3, 1 1-2 For n = 4, 12+ 1 2-3 + +…

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Q: 9 12 י Sketch a graph of a rational function that satisfies the following conditions: ƒ(0) = 0,…

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Q: Maximize z = 4x1 + 17x2, subject to 5x215 4x1 + 3x1 + X2 ≤ 30 X1 ≥ 0, X2 ≥ 0.

A: Maximize  subjected to

Q: 2. Find the inverse Laplace transform of: 4e-its (a) F(s)= s(s²+4) 12eT (b) G(s)= (s+2)*

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Q: You are given the iterated integral S √x L' Ly³ f(x, y) dydx. x3 Sketch the domain of integration of…

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A: 1.56  Explanation: Given equation is P(x)=a+b ln(x+1) whereP(x) is pressure (in mmHg)x is age (in…

Q: 2. Solve the system using A-¹: 1+22+3x3 = 5 2x1+5x2+3x3 = 3 I1 +8x3 = 17

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Q: 2X2 matrix with eigenvalues A₁ =-1.2, A2 = 1 with corresponding eigenvectors Consider the difference…

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