3. Demonstrate that 5/7, V3+ V5, and V8 – V7 are irrational.

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Q: 11. If QM = 6x - 11 and MR = 2x + 9, find MN. %3D

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Do not use a calculator in this question. (4 V5 – 2)? V5 – 1 CamScanner로 스캔하기 Express in the form…

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Q: If m and n are integers and m x n = 0, then what is true for the values of m and n?

A: If m and n are integers and m×n=0

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Q: For which values of a and m does ax = 1 have a solution in Zm?

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Q: 8. Provide justification for you what will appear on the ex asked. (-1)" (2n)! (a) n=1 n4 – 4n -

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Q: Find b fa@ dk and if if x iN rofional ニ :X if x is irrational if x is rationa l if a is irretional り

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Q: Consider a, = V4n² + 3n – 2n for n > 1. %3D -

A: Introduction: The sequence is a set of functions with the set of natural numbers as the domain of…

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A: Consider the given equation. Find the characteristic for c if a, b are positive integers and ( x, y…

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Q: In Z[V3], the element 2+v3 is:

A: Unit Given element is a unit

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A: The given equation is, x+y+z= 24 We know that, For equation,  x1+x2+......xr=n  There are n+r-1Cr-1…

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Q: Vhich among thế chôičes satist etters only. 2а. у" - Зу'- 10у %3D0 Co-5x C o2x

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Q: Given: 23 = Z1 Prove: АВ АС 2 3/6 E

A: Given: The angle ∠3 is equal to ∠1. Concept used: If the two angle of a triangle is equal then side…

Q: 2- Show that: (-1)m (2m + 1)! NIE

A: Solution:     Definition of Bessel's function:

Q: Is the equation Ax = b consistent for all b in R^3? Explain.

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Q: x is even and v is any integer, then their produc

A: If x is even then x=2m where m is any integer y is any integer,  Case I Let y be even y=2n where n…

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A: Let z=x+iy be a complex number. Then, the polar form of z is given by, z=rcosθ+isinθ where…

Q: 1. Given that r + px+q and 4x +q have a factor (x-r) where p,q and r are non-zero. Show that 4p…

A: topic - quadratic equations

Q: Solve for u. u+5=5 ?

A: Multiply with 5 on both sides

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Q: For which values of a does ax = 1 have a solution in Z5?

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Q: 5.1. Show that y2 , V2 , and v3 + V2 algebraic. are

A: We will use definition of algebraic numbers

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

A: Answer: True.

Q: ² = 4. Maximize Q = 4xy, where x and y are positive numbers such that x+y %3D y: (Type an exact…

A: topic - application of derivatives

Q: Compute P2.

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Q: Enter the exact answer. dy = V9 - 8y

A: To solve an integral using substitution method  Firstly take the substitution and determine the…

Q: S is a cubic spline O True False ((x-1) + 3(x-1)² + 2(x-1)³ (5+ (x-2)-(x - 2)²-(x - 2)² 15x32 2<x<3

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A: Given that  We have to prove the given expression:

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Q: 7. What necessary and sufficient condition do you need to impose on an integer c so that the…

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Q: What conclusions can yo WD DY because ZX is WX = XY because of The Find the value of x to the ne 8.…

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Q: 4. у' 3D csc х +у сotx

A: Consider the provided differential equation, y'=cscx+ycotx Find the general solution of the…

Q: (b) Prove or disprove: f: 41o → Z20, [7]10 → [r2|20 is well defined.

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Q: For which values of a and m does ax = 1 have a solutionin Z m?

A: To find for which values of a and m does ax=1 have a solution in Zm. Zm=0,1,2,....,m-1 when a=0,…

Q: Prove that tanodo-n//2.

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Q: (x – 2)² – In x = 0, [1,2]

A: Follow the python script.

Q: Prove that there are no solutions in integers x and y to the equation 2x2 + 5y² = 14.

A: Two different proofs are given for the given problem as follows :

Q: 9. In OP, QR = 7x – 20 and TS = 3x. What is x? -

A: Joining QP and TP, we get the radius of the circle.

Q: Show that, by det by b2 92 •92 =TT (ai-bi) br b2 b3 an

A: We have to show that det111⋯1b1a1a1⋯a1b1b2a2a2⋮⋮⋮⋮b1b2b3⋯an=∏i=1nai−bi Let us consider the matrix…

Q: and (A) (B) = x, = 2x, = 3x, Show that if 8. N N (AB) _ (BC) _ (AC) 1 = y, then the value of neither…

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Q: + .... Ex. 5. Prove that P,(-) = P,(-}) P,(4) + P,(-1)P2m -1 () + -. Pa(-)P.().

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Q: The set of solutions to z^6=−i is?

A: We have to find The set of solutions to z^6=−i.

Q: If dfB = 3 and dfT = 29 and Fobt = 3.15, what would you conclude using a = 0.05?

A: From the given information,DfB = 3DfT = 29Fobt = 3.15

Q: 4. Show that: do Tb/(a? – b²) - a+bcos0 а b2 Where a>b>0 such that * -1+ 1. < 1 - a²

A: To Show: ∫0πdθa+bcosθ=πba2-b2 Concept: i. 1+tan2x=sec2xii. cos x=1-tan2x21+tan2x2iii.…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.