=t₁S = {3 +; = {3+1 ²+/2 = ne ¡:neN}. Prove that sup (S) = 4.

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A:

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Q: express on J5 by Jo & J1

A: This problem is solved by the concept of recurrence relation

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Q: verify that A(B + C) = AB + AC

A: Now,

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Q: Evaluate: L(e* -3t * sinh 7t).

A: Given: Le-3tsinh7t

Q: , put only one solution in the secon -9|c+8|=-99 Dont

A: Given query is to find the solution of the expression.

Q: 2. Prove that if a, b e R, then (a) -(a + b) = (-a) +(-b), (c) 1/(-a) = –(1/a), (b) (-a)·(-b) = a ·…

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Q: ALL for f*) Such tatt FIND FUNC TIONS Vx - x² +1 :(^),f

A: The given derivative of a function f(x) isf'(x)=x-x2+1x

Q: (2) DE (D² D²-70³-11 0²-80-12/9=0

A: A detailed solution is given below.

Q: is o(x). Hint: Use ling divisim

A: Let consider  fx=x4+x2+1x3+1 To show that f(x) is O(x).

Q: Let B = {1-3t +t² , 2 - 5t + 3t2, 1 + 5t2} and p (t) = 2 – 5t + 4t. Find x [p]g. %3D X1 = X2 = X3 =…

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Q: Let B be a random number chosen from the interval (-10, 10). Find the probability that the quadratic…

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Q: .(1) t is straightforward to show that y = k-1 is a solution to the homog quation

A: Given,                yk+2 -2k+1kyk+1+ kk-1yk=0         (3.151)and       yk+2 -2k+1kyk+1+…

Q: f6) = 5-31 5+3x Q11. Let %3D

A: Given: To Find:

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Q: dz √|z|=1 |z|=1 z²-8z_+1

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Q: ® Investigate the conurgence of 3. Convergence 2.

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A:

Q: es (or+.1). COS Using P, (x), eshimate cas

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Q: verify that (A + B)C = AC + BC

A: To verify that (A+B) C = AC + BC.

Q: 2. How do you prove a statement of the form ( 3x, P(x) )? Provide examples.

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Q: Let A be a randomly selected number from the interval (-5,4). What is the probability that the…

A: We can solve this problem by finding the values of A that will result in the quadratic equation…

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A: