Problem of Tartaglia (1500-1557): among all positive numbers a, b whose sum is 9, find those for which the product of the two numbers and their difference is largest. (Hint: Let r = a –- b and express abx in terms of x alone.) a = b =

Q: 4 -30 X2 X3 45 -17 32 3) %3D 2. 3.

A: 1-14-201-343250-3-205x1x2x3x4=-3045-1732use Guass Elimination method , to solve the system

Q: (x – 4) (x + 2) (x – 8) > 0 Section 3.6 O (-00, -8] U [-4,2] O-4, 2] U [8, o0) O-8, -4] U [2, o0)…

A: Given: An inequality x-4x+2x-8≥0 Simply put, the product of 3 linear equations should be positive or…

Q: 0.2[5(x-1)-4] <0.8(x+1)

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Q: -5 2 3 5 1 1 -3 If A = -3 2 4 and B =-2 6 -3, find BA and AB. -2 1 -1 2

A: Topic :- matrix

Q: 5 4 3 1 -1 -2 -3 -4 -5 п/2 П 3п/2 +X 27 Q

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Q: 2-13x+15, x+3) 3. - 13+36, (x- 2), (x+2) -13x2+36 x +0x-13 +0x+36) = 4x -15x-48x + 109x + 30, (x –…

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Q: 4. One -third of x is square of the cube root of y. 5. The square of half of x is 1 greater than…

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Q: .2 x-9 (ii) x, = 3, Ax) ={x-3 if x + 3 %3D %3D |5, if x=3

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Q: 10. 9 + 4n = -59 %3D 12. 6x – 5 = 7– 9x olod no -

A: Please refer the attached image for complete solution. THANK YOU.

Q: Fill in the blank so that the resulting statement is true.

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Q: 3 -x --y = 1 4 2 3 x -sy = C -2 Both 2 and -2 There does not exist such a value of c. 2.

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Q: 2х1 + X2 — 4хз + 3x4 — 0 X2 + 3x3 – 2x4 = 0 2х1 + 3х2 + 2х3 -4x1 ° - X4 = 0 — Зх2 + 5х3 — 4x4 — 0 b.

A: To solve this system we use Gaussian elimination method.First we write the augmented matrix of given…

Q: Evaluate the problem if its converse or diverse, if converse then get the sum. Ex=1 -X X +2

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Q: 2. Evaluate x-3x +6 for x= 4 +i x-3x +6 evaluated for x = 4 + i equals (Type your answer in the form…

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Q: Solve x 4 - 11x 2 + 18 = 0.

A: Solve x 4 - 11x 2 + 18 = 0

Q: Find the value of x.

A: "Since you have posted multiple questions, we will answer the first question.  If you want the…

Q: solve the polynomial equations byfactoring, and check the solutions graphically.

A: "Since questions with multiple subparts are asked, we are going to solve the first three subparts…

Q: 10 8 6 4 cp 2 근 -4 9 co 8 10 X

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Q: Question 12 W 1+3r (1 – 1)(3x – 5) A 2 In |1 – 1| - 3 In |3r – 5 + C B 2 In |1 – z - 27 In |3x – 5|…

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Q: Question 23 3. If 5x +2 arx then 32az = k-0

A: Please see the answer in Step 2

Q: -i [1 1. |0 li 4+i -2 4 – i 3.

A: To find out the given matrix is real , symmetric, skew-symmetric, hermitian or skew-hermitian .

Q: 6.1 3m2- 2m +5 and m² + 3m-4 1*.. ...... 6.2 5n2-3n + 2 and -3n-4n + 5 From 2x- 7x² +x- 3 subtract…

A: We need to subtract the given expression:

Q: 3. 27. (x- 2Xx-1) 3. x-2 x-1 3. x-2 x-1 3 3. x-2 x-1 3 3 X-2 x-1 +

A: we sove the question .option d is correct answer.

Q: 5 -4 1 - 2 -1 1 8 8 -2 6 -9 2 6. If A = 7 8 3 -1 B = -7 9 2 1 8 2 -4 -5 2 -5 Find: AB 3.

A: To find  AB

Q: -1 3 X1 -21 X2 0. X3 88 -1 -3 4 6. 44 66 %3D 2 9. -2 5] (x4 124

A: To find the value of variables x1, x2, x3 and x4 write the equations from matrix…

Q: 7. у" — у' — хе"; У (0) %— 2, у'(0) — 1 Ans. у %3D е" x* — х+ 2

A: We have to find general solution of given differential equation.

Q: We have $6,000 to invest in three types of financial products. If we invest x, dollars (in thousands…

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Q: Зx + 3х x² –4 — 3(х - 2) x(х+1) 16. x² – 36 ? x² 2 - 17. 4 ? х — 6 - x² – 5x – 50 20x+ 60 _…

A: As per our guidelines we are supposed to solve 3 sub parts , kindly repost the remaining part as…

Q: 14 = 0 23. -x2 + 2x + 24 = 0 = -81 25. 2x2 – 8x = –32 - 15 = 4 27. -3x? – 7+ 2r = -11

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Q: [1 2 3 2 li 0 31[*1] 1||x2 -1] [x3 -4] = 14

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Q: Question no 05: 2 -2 16 2 If A=- B 0 25 Evaluate: 1. AxB 2. BxC 3. СхА

A: We are solving the first three subparts and for the next subparts post the question again and…

Q: Question 8 2x-1 When 4 x-6 5x the fully simplified expression is equal to is subtracted from: x-6 —…

A: We want to subtract the given expression

Q: 5 2 dr = dr- 0 (x²+9)½ /(6+zx) 0, 's (x²+9)½ * A) True B False

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Q: • If x = -0,8, then [x-1]%D %3D 1. -2 2. -1 3. -0.8 4. 1

A: Greatest integer function: For all real numbers x, the greatest integer function gives the largest…

Q: 24. 0.25x 0.5y %3D 0.2x + 0.2y- 0.2z = -0.6 0.5x 1.5y + z = 0.5

A: Here we solve given equation using Gauss Jordan method.

Q: 4. 3+ [(-1)⁹ x 2 + (+10) + (-9)]³ * 5. (4+3)x1 ÷ [(-1)³ x (-1)]

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Q: 4.3.1 an < 3x, if a1 = 3, x 2 2, and an+1 = /2(2 + an) %3D %3D

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Q: 4 0. 6. -21 X2 X3 X1 8. 4 1 2 -3 -1 4 -4 9. 9- 1) -4 8- 13

A: 406-242-14-1-32-472-48x1x2x3x4=89-613use Guass Elimination method to solve this system.

Q: 5. 3x2+x-1 SC x+2 3x2 3x2 + 5x + 9 In Ix+ 21+ C 2. -5x +9 In Ix+ 21+C 2. 3x2 D 3x2 9. 6. + 5x + +C…

A: Given: I=∫3x2+x-1x+2 We know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule:…

Q: Your answer is (input yes or no) if your answer is yes, its first term is its common difference is

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Q: 4. x* - 8 + 16 = O 5. x* - 33 + x + 3x-2=0 6. x*- 3x - 15x+ 19x + 30 = 0 7.x-20-13x2 + 38x - 24 = 0

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Q: 5(x-2)-2(x-5) = 9 (1) 5x- 10- 2x+ 10 = 9 (1) (2) 5x- 2x- 10 + 10 = 9 (2) 3x +0 = 9 Зх - 9 %3D X = 3…

A: Here the properties of (1) and (2) are needed, (1) the first step is the distributive property where…

Q: * If.4 -2 1 A = -3 5 -1 Then adj(A) %3D 3. 2.

A: 4.find adjoint of matrix A

Q: cion 14 of 20 : the best answer for the question. x2 - 4x- 32 Simplify .2 x² +7x + 12 3 X+7 8x B. 3…

A: Given:  x2-4x-32x2+7x+12 In numerator writing -4x as (4x-8x)In denominator writing 7x  as (3x+4x)

Q: -6 > 2 x+3 Show your work: O (-6] O (-6, 00) O -6, 3) O (-0, -6) U (-3, 0)

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Q: 3 -1 2 10 4 1 X1 10 (а) -3 2 1 x2 -5 1 5 0 3 1 X3 15 -2

A: clear all; close all; clc; disp('Part a'); A=[3,-1,2;4,1,0;-3,2,1;1,1,5;-2,0,3]; b=[10;10;-5;15;0];…

Q: 12 - 2 Let Ax) = x² + 3x + 5 , and 1 A = -2 1 3 3 -1 Which one is (A)=?

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Q: |3 — а 2—а 3 – a 1 2 - a = 0 1 %3D | 3 2 – a 1- al

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Q: 0. -4 -5 0 -6 -8 11 A = 4 -9 2 -3 det A = Ex: 5

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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.