olve the system of linear equations given below. —11х1 + 13х2 — 15хз + 25х4 -19x1 + 33x2 + 27x3 + 15x4 101 122 22x1 – 42x2 + 53x3 – 19x4 = 234 17х1 — 31х2 + 23xз — 10х4 3D 143 - se any method in solving for the determinant if needed. olve for the values of (x1, X2, X3,X4) using the following methods: a) Cramer's Rule b) Matrix Inverse Method c) Gauss Elimination Method

Q: If A = {1, 3, 5, 7), B = {2, 5), find the %3D number of relations from A to B.

A: Solution is given andi hope it will be helpful for you dear student.

Q: J why boyther to define the Lebesgue do we integrad, wasn't the Riemann integrd good enough? Explain

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Q: Find the laplace transforms of (te^tsin(at))^a , when a= 1

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Q: OLet Faffasb)tairbeR} and + defined on AF as fellows! (asb) +ceod) = (atc,b+d) (arb).ccod)= (ac, bd)...

A:

Q: Assuming x E Z. Prove

A: Given, x∈ℤ, To prove that                 2|(x2-6x+5) ⇒2|x

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A: Please see all the solutions carefully.. They are given below.

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Q: y

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Q: The theorem is attached. Thank you.

A: We prove above theorem by using given result.

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A: Draw the Venn diagram for the given question.  

Q: a. (x² + y?)dx + 2xydy = 0 a?u b. ax2 a?u a?u = 0 əz? ду? c. yy"= x d²y d²x d. x +y dt2 C1 dt2 e. y"...

A: The order of a differential equation is defined as the order of derivative.

Q: One of the following relations is a function from A to B : .a F={ (1,2), (2,4),(2,6)},A={1,2,3},B={2...

A: To choose: The option which denotes a function from A to B: - (a.) F=1,2,2,4,2,6, A=1,2,3, B=2,4,6 (...

Q: Given two m ×m matrix X and Y , where XY = Y X. Suppose the eigenvalues of X are mutually different ...

A:

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Q: THEOREM 23. Let K be an integral operator on L2([a, b], a) KS = [°xe K(x, y)f(y) da(y) where T| K(x,...

A: We will use the basic knowledge of functional analysis to answer this question. Recall the definitio...

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A: Solution 

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Q: facR,af ischiffontiable at xo gisdiffera tible at to anol

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Q: Problem 3. First verify that y(x) satisfies the given differential equation. Then determine a value ...

A: Introduction: A function yx is the solution of a differential equation if it satisfies the equation....

Q: tet r and m be integer, prove that 17/20+3m iff, 17/9n

A: Solution 

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A:

Q: H.W. 1- Solving the above example during (n=3, 7) and compare with each integral result by Simpson R...

A: We can solve this by using Simpson rule  

Q: O Let (R, +) is aring. and f:R>R defind as XER Show that f is isomorphi'sM and is said tobe identity...

A:

Q: development of

A: In simple words, the concept of math is used to understand the world.

Q: Find f, and f, and evaluate each at the given point.

A: Given,          f(x, y)=arctanyx;  (2, -2)               orf(x, y)=tan-1yx;   (2, -2)

Q: Determine the real root of f (x) = -25 +82x-90x2 + 44x3-8x + 0.7x5 using bisection method, employ in...

A: Given  f(x) = 0.7x5-8x4+44x3-90x2+82x-25

Q: 5x3 – 10x Simpson's sult of the

A:

Q: [et Suppose A(t) =0 0. cos t sin t, show that A(t)-1 exists and then find it. - sin t Co t. -

A: Given- At = et000cos tsin t0-sin tcos t To Show- Show that At-1 exists and then find it.

Q: Find the 12th term of the sequence 8,14,20,26

A: Given sequence is 8, 14, 20, 26. We have to find the 12th term of the given sequence. Here, 14-8=6 2...

Q: 8. For two sequences {an} and {b,}, let cn = E arbn-k. (Then cn is the sum of the terms on the nth d...

A: Please check the answer in the next page

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Q: 5. (a) Ifp is a prime then the group U, has (d) elements of order d for each d dividing p- 1. (b) If...

A:

Q: Show that |Re(z)| + |Im(z)| ≤ √ 2|z| for any z ∈ C

A: We will use the basic knowledge of the complex number system to answer this question. 

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A: The complete solutions are given below  

Q: Let (X,S, µ) be a measure space such that µ(X) < o. We define d(f, g) = S du. \f-g]| 1+\f-g| Prove t...

A: We will use the basic knowledge of metric spaces to answer this question. Also, some elementary know...

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A:

Q: ebt + e-bt Find the Laplace transform of sinhbt. Recall that coshbt = ebt and sinhbt = -bt - e S L{s...

A: We need to find Laplace transform of  f(t) = sinh bt. We know that ,  sinhbt = ebt - e-bt2 Thus ,   ...

Q: EX show that 2. J능 (x)

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Q: Check whether the following pairs of formulas are equivalent by constructing truth tables. For each ...

A: We can see from the below steps that none of these formulas are tautologous. 

Q: y>x-1 is not function صواب ihi

A: Given: y≥x-1 is not a function   To determine: If the given statement is true or false.  

Q: Let p,q and r be the propositions p: Grizzly bears have been seen in the area. 9: Hiking is safe on ...

A: The statement includes ''if- then'' condition which is represented by the connective →.