For each of the following functions, indicate the class O(g(n)) the function belongs to. (Use the simplest g(n) possible in your answers.) Prove your assertions. a. (n² + 1)10 b. V10n2 + 7n +3

Q: 글x + 11 =D x-120 %3D

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: . Describe and show two methods of solving the equation r – 5/I + 4 = 0

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Q: If A = 1 -2 3 and B = 1 -2 4 L -4 2 5. 3 5 1 4 find A"B and (AB)". Show your solution.

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Q: Solve a0 = 1, a1 = 3 and an = an−1 + 6an−2, for n ≥ 2.

A: We will start with the trial solution, an = rn for all n > 0

Q: If (1, 1, 3) = a (−3, 0, 4) + b (5,−1, 2), what are the values of a and b? a=-2, b=-1 a=2, b=1 a=0,…

A: Given (1, 1, 3) = a (−3, 0, 4) + b (5,−1, 2), we need to calculate values of a and b. (1, 1, 3) = a…

Q: Consider the equation I1 +2 +13 = 25 where r1, r2, r3 € Z.

A: Consider the given equation: x1+x2+x3=25 His aim is to find the solutions for x1≥0, x2≥-3, x3≥0 and…

Q: Solve. 3 (2x – 5) – 4 (6 – 5æ) = 6 (7x – 2) - - -

A: Find value of x

Q: x^2-kx+5=0     one solution is2+i 1) find k 2) find a second solution

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Q: Solve 4*- - gr-4 a. b. x- 2 d. 213

A: Solution: The objective is to solve the given equation

Q: Solve for X using AX = B or X = AB -54 2 0 3] A =|0 5 4 B = 12 3 2 0 32

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Q: Find Particular solution 2 2. +4x² = 2

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Q: Jackie and Jesse each solve the same probler a different way. 29. Problem: Va + b = ? Jackie 's way:…

A: We will solve the problem. Option D is the answer

Q: I Solve in X A, B, C Known 3 A+2x) -B.C

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Q: if px2+qx+r=0 is one root then find the square of the other a=p , b=q, c=r

A: The quadratic equation of the form ax2+bx+c=0 can be solved using the formula x=-b±b2-4ac2a This…

Q: Bushra started practising her basketball free throws at home each day. As she practised she found…

A: Given that Bushra started practicing her basketball free throws at home each day. As she…

Q: How is there a door in B? I clearly stated that there is no door between rooms B and C. Please look…

A: We can represent the rooms and the exit as states in a Markov chain and number them as follows: A:…

Q: If b and c are real numbers and b < 3c, show that the equation x3 + bx? + cx = 2022 has exactly one…

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Q: If M2JKM =5z+ 18 and MZMKL=z. solve for z. M

A: The given figure is

Q: 10) Solve a. b. X-6 x-3 x+2 X+1 = x = -2,-1 x = 1 for x. C. d. x==1 x = 0

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Q: 5. 16yk+2 Solve the difference equation + 8yk+1+yk = 6-k, yo = 4, y₁ = 1

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Q: 1 1 b. From (i) prove that, xb + x ² + 1 + x² + x ² + 1 ² + 1 = 1 xa +x+b+1 c. From (ii) given in…

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Q: 3) Solve the equation AX = b by using the LU factorization given for A 2 -4 2 i. A = -4 5 b=0 -9 1…

A: Answer

Q: If AC = x + 11, and AB = 23 solve for x. %3D

A: Given that     AC= x+11  and AB= 23 We have to find the value of x.

Q: Consider the following linear equations = -6 -3x + (25 – k)y + 7z = -4 -3x + 5y + 8z -3x + 5y + (10…

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Q: In the right triangle ABC, CD¯¯¯¯¯CD¯ is an altitude, and c=e+f   By combining three equations, it…

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Q: at do you notice abou 1 19) y = x + 2 4 poin 3 y=-x-2 4 Number of Solutions Jeanorul

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Q: Hence or otherwise solve the equation x²y" – 4ry + 6y = In r². %3D

A: The given problem is to find the solution for the given non homogeneous differential equation. Given…

Q: ve for C: F = C + 32 - C = ²F-32 b. C = (F-32) C. C

A: Given: F = 95C+32

Q: b) 31/12 = = 3 + 2x+7 x+6

A: Given Equation:- 32=3+2x+7x+6

Q: EX 2) Working together, Mike and Eugene can mop a warehouse in 4.8 hours. Had he done it alone it…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.