1. Find (-1 - i)5 and express the result in rectangular form. 2. Find the square roots of 1 + (√3)i 3. Simplify (1+i) 18

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A: Given that,  f(x) = 116x Replace x by x+h , we get f(x+h) = 116(x+h) f(x+h) = 116x+16h

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A: The given matrix is                                       A = 131-1202123 We have to find the…

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A: Given : A=310131013 , x0=111 , k=6 To find : Dominant eigen value.

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Q: a) Let 3-4 5 B-2 4-1 00 S be a nonsingular matrix. Then find the values of s using row operations.…

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A: Note- Given that All function are bijective.

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Q: pls answer 3&4

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

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Q: 4. Prove that if G and G' are isomorphic groups, then Aut(G) and Aut (G') are also isomorphic.

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Q: For the function f(x)= 6x-2​, construct and simplify the difference quotient f(x+h)-f(x)/h. The…

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Q: Question 2 a Let 3-4 5 B= -2 4-1 00 S be a nonsingular matrix. Then find the values of s using row…

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Q: x/y + 1 - √ x/y x/y + 1 + √ x/y - - 1 1

A: dxdy=xy+1-xy-1xy+1+xy-1      =xy+1-xy-1xy+1-xy-1xy+1+xy-1xy+1-xy-1      =xy+1-2xy2-1+xy-1xy+1-xy+1…

Q: . Prove the following for the continuous case: E[X] = E[E[X|Y=y]].

A: Let f(x,y) be the joint density function of the continuous random variables X and Y.

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Q: compose the following rational expression into partial fraction. 17x-53 x²2x-15

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Q: ) Let R be a commutative ring and f : R → S be a ring isomorphism. Then (i) check as to whether S is…

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Q: (2) Let fn(x) = X(0,n)(x), x > 0. Find the pointwise limit f of (fn)n and show that (a) the…

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Q: Determine whether the following statement is true or false: If both matrices A of the size 6 x4 and…

A: False

Q: αι = Ω_(7q+6) @ = 0 = ΠΩ(+1)t-qΩ-11+4 Ω_(q+1)t-q ΠΩq+1)t-q + 1 Πιο Ω-(n+1)t-q Ο Th ΣΠ +1 h=0 k=1 6 1…

A: Given: The Information that leads to the required proof.We need to prove the equations marked in…

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Q: 3. Ruel is the brother of Bella. Dina is the sister of Ruel. Matthew is the brother of Tanya. Tanya…

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A: Please find the attached solution

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Q: 10. For the following locations, find the rotational speed of Earth. • Washington, D.C., with…

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Q: Solve equality: (a) 2x² + 3x - 2 = 0 (b) e¹+3e² 10 = 0 (c) ln(x) + ln(x + 1) = ln(12)

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A: Given that, W1,W2 be subspaces of a vector space V such that, W1∪W2 is also a subspace. To show:…

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A: Given that, Every minimal dominating set in a graph G is a maximal irredundant set of G. We have to…