Suppose f  is continuous on [0 , infinity)  and  limit x appraoaches infinity  f(x) =1. Is itpossible that integral 0 to infinity f(x)  dx is convergent

Q: Solve the equation 3.x = 2 in the field Z7; in the field Z₂.

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Q: Evaluate the integral ∬R(x2+y2)dxdy, where R is bounded by the lines y=x, y=x+a, y=a, y=2a (a>0).

A: The region is bounded by  y=xy=x+ay=ay=2a We have to evaluate ∬R x2+y2 dx dy.

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Q: Min X₁ - 3x2 St 2x1 + 3x2 <6 -x₁ + x₂ ≤1 X2=1 X₁ - X270

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Q: Question 1. If the Fourier transform of f(t) = { 3 0<t<2 0 elsewhere is F(w), express the Fourier…

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Q: 3. მ მე2 + (x + ყ) მ2 მყ2 = 0 =

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Q: 5+5

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A: As per guidline solving first 3 sub parts.

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Q: In Exercises 7 through 13. decide whether the indicated operations of addition and multiplication…

A: Solution is given below:

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A: Solution:

Q: a. Find a basis for the rowspace of A. b. find a basis for the columnspace of A.

A: Given Matrix A=12310abc12 We are also given a=0, b=1, c=7 Hence matrix A becomes A=1231001712

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A: Given that L-12s3+s2+8s+6s2+4s2+1

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.