The value(s) of x that satisfy In(x² + 1) – 2 In(x) = In(16) – In(8) are/is

Q: Solve the problem. Suppose that f is continuous and that -2 f(z) dz=0 and 5 f(z) dz = 4. Find -…

A: topic - integration

Q: are orthogonal on einmx/L, n = 0, ±1, ±2,... [-L, L] with norm equal to √2L.

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Q: Find an example for which (zc)d ≠ zcd with z ≠ 0

A: To find an example for which zcd≠zcd where z≠0 Now, for integers c and d zcd=zc·zc·zc····d…

Q: Prove: If a > 0, then (1/a) > 0.

A: It is given that a> 0.It is known that if ab > 0 then a > 0 or b > 0 or a< 0 or b…

Q: Show that A = has two different factorizations of the form A = L · U where L is lower triangular…

A: Given: A=0001. To show: A has two different factorization of the form A=L·U, where L is lower…

Q: best Rank 2 approximation F ind weth respect to I|F|l the where to A -1 2 -1

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Q: At a company, 20 employees are making contributions for a retirement gift. Each of the 20 employees…

A: At a company, 20 employees are making contributions for a retirement gift

Q: Prove or disprove: If (n) and (yn) are subsequences of each other, then n = yn.

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Q: Evaluate the integral S(in 7x)? dx

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Q: The PG(2, q) has 133 points. Find algebraically the value of q in PG(2, q). Note that q is the…

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Q: . f(x) = 2* DA. O(x²) DB. Ω(x) Dc. O(x²) f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²) DB.…

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Q: dt Use parseval's identity to prove that J a? +6²+?) 2ab (a + b) TC

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Q: b) g(x) = S,* In(2r + 1)dr

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Q: prove that ਰ Apply the calculus of residues to dx (1 + x²)² - π 4 .

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Q: Given Ā =, B =,č = (a) Compute Ā· (B + T) (b) Compute A · (B × C)

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Q: 6. Prove that |xy| = |x|ly| for all real numbers x, y.

A: The given problem is to prove the following statement. Given statement is |xy|=|x||y| for all real…

Q: Find an example for which (zc)d ≠ zcd with z ≠ 0.

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Q: Show that 1 + 3x is a unit in Z9[x].

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Q: Show that E( X - K )2 = var( X) + [E(X) - K]2

A: var(X)=E(X2)-E(X)2 E(a)=a  where a is constant (a-b)2=a2-2ab+b2

Q: The area of the segment of a unit circle, A is A = ²(0 - sine) where 0 is in radians Dotorming A if…

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Q: Show that for any positive integers i and j with i > j, we have T;(x)T;(x) = [Ti+;(x) +T;-j(x)].

A: we have to show, for any positive integers i and j with i>j TixTjx=12Ti+jx+Ti-jx Now, we know…

Q: Let a be a positive real number, and let a>>1. Show that the square root of (1+ja) is approximately:…

A: A complex expression is given.

Q: 1. Determine whether each of these functions is O(x). a) f (x) = 10 b) f (x) = 3x+7 c) f (x) =…

A: As per the policy, we are solving three parts. Please repost it and specify which part is to be…