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Q: 6. let (Sa) C Cla, b). Suppose there exsits a function g € Lla, b) with fa(#) S g(x) a.e. for each n...

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Q: DIFFERENTIAL EQUATION dy/dx=2yx+yx^2

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A: Remark:  We know that ln(ab) = ln(a) + ln(b) Also ln(a/b) = ln(a) - ln(b) ln(ab) = b ln(a)  

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Q: lim sin x 25 6 x -

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Q: 2y" – y" – 6y' + 5y = 0 |

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Q: What is the general solution to the differential equation d/dx [dy/dx] =6x+3 ?

A: We have ,  ddxdydx = 6x + 3 d2ydx2  = 6x + 3 Let , dydx = y' d2ydx2 = y'' Therefore , given differen...

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A: Introduction: The problem is not so much in performing the multiplications as it is in deciding whic...

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Q: Exercise 2. Which of the following maps o : (a) $(r, y) = (x², r*, y) %3D

A: Please find the sol in next step, Shall we solve one question only as you have asked more than one d...

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A: The integral can be evaluated as follows:

Q: 4. Working with functions. In this question, we will explore various properties of functions. You ma...

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A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: 11.(a) Prove: If A is invertible, then det(A¯1) = TeA %3D det(A) (b) Prove: If A is inverible, then ...

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Q: 2y + 4y + 4z 3z = 0 w + = 7 w + 3x + 7y + 2x 92 = 4 4y 6z = 6 - -

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Q: lim (4 tan 3x – 1) 12

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Q: lim tan 2 x→-3

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Q: Let S be the set S = {a + bk: a,b € R}, where k is a formal symbol. Define addition and multiplicati...

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Q: Evaluate

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A: We will use the fact that ~(p or q) is (~p and ~q)

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A: This is a problem of complex analysis.

Q: Let l be an integer greater than 1, and let G be a finite group with no element of order l. Can ther...

A: Find the attachment for the solution.