- If an+2 = 5an+1 - 6an and ao = 3, a1 = 7, then a7 = 2268 4014 3129 2443

Q: If A= 3 -2 2 -3 2 -41 5 0 1 5 6 4 give the following elements

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Q: Show that AB = O, even though A ≠ O and B ≠ O.

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Q: 2. Determine the products C = AB and D = BA if 4 67 -7 -5 A = -1 3 -5 21 -13 -4 7 6 %3D 1 -9 -3 1

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Q: GIVEN: 1 0 3 1 A = 4 2 4 1 1 3 1 0 2 -2 FIND: A?

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Q: What is the solution to 8(2**³) = 48? In 6 1 x = -3 In 2 x = 0 In 48 -3 In 16 3 4 x = In4-3

A: Use one exponent property of logarithms log xy=y log x. To solve a linear equation in a variable x…

Q: Find 4-¹, if A = [3 3 O ] 3 -2 0 O [32] −3 0 - [²2] O −3 12 -=[ 132] -3-2 O 2 3 3 2

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Q: "If a and b are positive integers, a divides b and b divides a, then a = b."

A: To Prove: '' If a and b are positive integers, a divides b and b divides a, then a = b''.

Q: . If an+2 = 6an+1 - 8an + 3 and ao = 3, a1 = 7, then a6

A: We have to solve given problem:

Q: 3 find the values of az/ax and az/ay xe³+ ye² + 2 lnx-2-3 In 2 = 0, (1, In 2, In 3)

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Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single -1 5 1 1 -4 A = 3-2 2…

A: Consider the given matrix as A=-151 3-22 232, B=-41-4 2-10 1-23

Q: If A=0 2: B= , then [3] |-3 4 AB is not defined [11] AB = 6 6.

A: Given that:A=1-102-34 and B=23

Q: What is the element a32 from A1 1 - 2 - 1 - when A 2 1 1 -1 2 - 3

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Q: -4 -4 -1 1 -2 If A = 5-5 and B compute AB and BA, if possible. -2 -1 -2 -1 -4

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Q: Find the explicit formula. -5, 2, 9, 16, . An = 3+ 6n O an = -5+ 7n O an = 2 + 7n an = -12 + 7n

A: The given sequence,  -5, 2, 9, 16,......

Q: if a\ne -1, then (a+1)0 is equal to

A: (a+1)o =?

Q: 2) Find AB and BA if : A = [1 2 3], 405 B = 0 -6 -7 8 9 10 -11 6] 7 -8.

A: For matrix multiplication , the number of columns in the first matrix must be equal to the number of…

Q: ro -1 + If A = : B = [ → 2A – 3B -3 -81 %3D l13 -3) true O False 2.

A: Matrix combination true or false

Q: What would 7v+23=4v+8v-22 be?

A: Solution: The objective is to find the value of v

Q: Given that 3 -2 1 A= 5 0-2, B = 40 1 14 Evaluate T -3A + 2B 81 -2 4 2 9 -

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Q: 4. Find the solution to an 7an-2 + 6am-3 with ao = 9, a1 = 10, and a2 =

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Q: If A = -9 -31, then what is I + 2A + 3A² + 4A³ + 5Aª + ... ∞? 3.

A: We use definition of nilopotent matrix.

Q: If x = -2, then x2 +5 = 9. x2 + 5 = 9, SO X = -2. %3D true false

A: We will solve the 2nd equation to check whether it is true or not.

Q: Find the value of ‘v’ in v2 – 2v -15 = 0, if v is a natural number.

A: Given quadratic equation is,

Q: Determine whether the following is true: (a) (b) n+1 Σ₁2²= n · 2n+² + 2, i=1 n i-0 3¹ 1- 3n+1 13…

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Q: Let A = : 8 =9 1 0, and C = [1 -1]. -2 3 Then 2BC + AT =

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Q: If 0 <0 < 2n and -12cos20-8 = -17, determine the values of 0

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Q: . If an+1 = 2an + 3 and ao = 1, then a7 509 513 496 487

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Q: Is 12n + 18 equivalent to (2n + 6) (n + 3) ? True O False

A: Answer: True.

Q: Perform the indicated operations: 2n2 + 10n n² +10n + 24 n+4 8n2 + 12n n-1 n² + 8n – 9

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Q: Find x if BC=1,AC=x+5 and AB=2x-2

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Q: Suppose an = 5an-1+4an-2 – 3an-3 and a4 = 22, аs — 127, and ag = 717. Find a1, a2, and аз. ai = a2 =…

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Q: 4. Find AB and BA given that [1 -1 4 A 4 -1 3 B = 1 4 -2 1 -1

A: We will find the value of AB and BA in the following step.

Q: If 1 A = -9 6 1 6. 2 -T and Q(#) = ' Až, then Q(z1, 12, T3) = Enter z1 as x1, 12 as x2, and 13 as…

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Q: Show that if we make the change of variables =x – ct and n =x + ct, then, as in (16.7), a?u ,a²u a…

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Q: MR=5(a+9) and MP=13a+42

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Q: Question 7 Is 2 (n? + 6n + 9) equivalent to (2n + 6)(n + 3)? True False

A: Given: 2 (n2+6n+9)≡(2n+6)(n+3)?To find whether it is true or false?

Q: • If x = -0.8, then [x] + x = %3D 1. -0.8 2. -1 3. -1.8 4. 1 1 O 2 O 3 4 O

A: Given  x = - 0.8 To find [x] + x

Q: If an = n+ 3", n > 0 then choose the correct option a3 = 2a2 – ao +7 az = 2a2 + ao –7 az = 2a2 + a1…

A: Recurrence relation

Q: If z1 = -4 + j5, z2 = -3 - j2, and z3 = 3 - j2, what is the simplified form of 33 17 13 13 61 19 13…

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Q: Suppose 671 + 3v2 – 203 = 0. - Let w = 301 – 6v2 – 403. Which of the following must be true?

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Q: Show that AC = BC, even though A + B. 5 2 6 -4 2 0 0 A = 8 6 , B = 8 6 6 C = 0 0 2 -5 1 -1 0 1 6 -5…

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Q: x², if x 2 and x 36 5. q(x) · 10 – x,

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Q: 5 Findl if possible, AB ond BA. 4 217 O 13 -4-2-1- 2 s a2 A= Ba 312 23 11 ト62 BA=

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Q: 9. If LO = 15x + 19 and QN = 10x + 2, find PN. N

A: Find the PN LO= 15x+19 QN= 10x+2

Q: X Compute A*; Btr BA,(BA tr BA, (BA)O [ - 5 -4 I B -a 3 -3 5

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Q: -: Show that -1+i√3 =1 for all combination of signs.

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Q: 3. If BC = x-11, AC = 7x-36, and AB = 3x + 14, find the following.

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Q: Compute B-2C',(-5/3)A, and AB. where 7-1 2 -2 7 A=3 5 4 , B= 46 and C= 4 05 2 0 4 0 12 -5 3 9

A: See the attachment

Q: (d) If x and y are real numbers and x < y, then x² < y*. (e) If æ and y are positive real numbers…

A: We have to find

Quadratic Equation

When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.

Demand and Supply Function

The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.