Let u, v and w be vectors in Cn . Clearly prove that (u + v) · w = u · w + v · w.

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A: Since you have posted multiple questions i can do first three subparts as per our company guidelines...

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Q: 1. f(x) = x2- 6x + 3 is continuous on the interval [- 3,2].

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

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A: The given integral,       ∫08x1+xdx

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A: This question can be solved using the concept of linear differential equation.

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A: Given query is to find the volume of the solid generated.

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A: Since you have asked multiple questions in a single request we would be answering only the first que...

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A: To find out the correct statement. 

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A: Given,             The integral of x2lnx with respect to x.

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A: Let's find. 

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A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...

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A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: https://www.webassign.net/cgi-perl/symimage.cgi?expr=n%20%3D%20f%28t%29%20%3D%20a%2F%281%2Bbe%5E%28-...

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A: Given ∫1ex lnx dx To evaluate integral using by parts rule

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Q: IDSION may beTEcorded via any device capable of producing a digital video file, or can be recorded d...

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines...

Q: 12. y = x2 – 2x + 3, x – axis, x = -2, x = 1 a. 30 sq. units b. 20 sq. units c. 15 sq. units d. none...

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Q: 2x + 8, x 8 (i) f(8)= (ii) lim f(r)= (iii) lim f(x)= I 18+ (iv) Justification Answer=

A: To find out the f(8), left hand limit, right hand limit, and also justify the answer. 

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A: The given function,       f(x)=xx+32

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A: Solved below

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A: I am attaching image so that you understand each and every step.

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A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

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