determine Hthe Laplace trans form d: 4 Apply the Convoluton theorem to fCE) = St Te 2 sin 3(t-T)dT a C. -GS (s-2) (s?49) - 6S d.

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A: Please find attachment for the details solution  

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A: Given that gr,θ=frcosθ,rsinθ To prove: ∂2f∂x2+∂2f∂y2=∂2g∂r2+1r∂g∂r+1r2∂2g∂θ2

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Q: - 4 -1 3 4 -1 - 8 5 - 2 4 Find det(B) by the row 1 5.

A: In the given question, the concept of the determinant is applied. Given, B=05-2-412-14-34-1155-89

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

Q: Lonsider the Following matrix A= 2 3 4 a) Find all the egenalues and eigenvectors b) Find the transf...

A:

Q: Consider the Following matrix A= 2 3 4 a) Find all the epenalues and eigenvectors b) Find the transf...

A: A matrix is a mathematical object containing numbers arranged in rows and columns. The given matrix ...

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A: Since you have posted multipart question and we can answer three subparts. So answered first three s...

Q: Find the coordinates of vector u=(4,5) with respect to linear basis ((2,1),(1,-1) ? a. 2 b. 3 • 2 O ...

A: Here we use linear combination to solve this 

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Q: 1. i) Find ſcos 2x +3 sin 3x dx . ii) Evaluate fxe dx. Hence, solve | 5xe e dx. 1

A: To evaluate the given integrals. 

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A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: x 0

A:

Q: Given n=35. x=13. Find out the value of y=? (all possible) such that (x*y) mod 35=1.?

A: We will use (13y)mod35=1 to find all possible values of y by writing given congruence in expanded fo...

Q: 2. Proofs 1. Prove the following statement. Ve >1 3d 21 Vx > d : c< 3x.

A: Introduction: A grouping of objects. The set's specific objects are referred to as its elements or m...

Q: 1. Assume that T is a linear transformation. Find the standard matrix of T. (a) T:R? → R' with T(e1)...

A:

Q: F1

A: Please find attachment for the details solution 

Q: 2. Proofs 1. Prove the following statement. Ve 21 3d 1 V 2 d: c< 3c.

A: Note: As per our guidelines, we can not author hand written solution. Introduction: A grouping of ob...

Q: 1. 1 + i 2. -4 + 4i 3. 2i, -2i 4. -5

A: As you didn't mention the question numberto be solved so i solved First 3 question.For remaining que...

Q: Consider the Following matrix A= 2 3 4 a) Find all the epenalues and eigenuectors

A: The solution is given as  

Q: by, Z= 9 x1- X1+ X2s

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Q: o matrices A and B one has that Null(B) is contained in Null(A · B).

A: Given, for two matrices A and B, to show that Null (B) contained in Null(A·B).

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A:

Q: 2. Disprove the following statement. For all sets A, B, and C of some universe U, (AAB)U (An Bnc) = ...

A: We will give a counter example to disprove given statement.

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A: Derivative at point 

Q: Consider the Following matrix A= 2 3 4 a) Find all the eyenalues and eigenvectors b) Find the transf...

A: