a) Define two types of improper integral and its definitions. b) Solve the improper integral dx. (x² +3)*

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A: Please find attachment for the details solution

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A: Since you have posted a multiple question according to guildlines I will solve first question(i.e Q3...

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A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

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

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A: First option is true by definition only.

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Q: Exercise 4. Prove that if f : A → B and g : B → C are bijective, then (gof) : A→C is bijective. then...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

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Q: . If x, y E R with x < y, prove that x < tx + (1 – t)y < y for all t e (0,1).

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

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Q: dy dr 4 - y (b) _ In(교2 + y? + 1) dr dy (a)

A: Evaluation of the double integral

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A: Rational number

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A: the given function is fx=3x3+2x2-2x+2 find a and b such that fa×fb&lt;0 let a = -2  f-2=3-23+2-22-2-...

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Q: Bynsmg HAx)=l and H(x)=2v in Hernit polynomials, calculate the value of H()

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Q: Determine whether it is possible to express 1 as a liner combination of 1 = m· 44 +n· 91 , for some ...

A: To determine that 1 can be expressed as linear combination of 1=m.44+n.91, we will first use the Euc...

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