1. Given: L - v2 M = 3/3 N = V16 P = vo Which expression results in a rational number? 1) L+ M 3) N + P 2) M + N 4) P+L

Q: Solve for r: In(x) + In(x + 2) = 3

A: Use the properties of lograthim and simplify.

Q: 2. If P = {x|0 ≤ x ≤ 10} and Q = {x|5 < x < 20}, a) Find Pn Q b) Is 5 € Pn Q? c) Is 10 € Pn Q?

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Q: how many intergers solutions to x1 + x2 + x3 + x4 = 29 are there for which x1 ≥ 5, x2 ≥ 2, x3 ≥ 6…

A: The given equation is -  x1 + x2 + x3 + x4 = 29 where x1 ≥ 5, x2 ≥ 2, x3 ≥ 6 and x4 ≥ 5 We have to…

Q: Show that (n+1)Pn+1(x) = (2n + 1)xp,(x) – npr-1(x) ;n> 1? %3D

A:

Q: 3/4 Given: 4 2x+ 35 Prove: x= 4

A: Given: 42x+34=35

Q: 4.1c. Show that the product of two integers that can be represented by x2 +dy?, is always another…

A: Prove that the product of two integers of the form x2+dy2 is always of the form x2+dy2. Consider two…

Q: P is of degree 2; P(0)=4; zeros -1, 4?

A: Write the standard form of polynomial with the help of zeros.

Q: 2) By using the iterative formula x+1= and x, 1.5, then the value of x, is O 0.3652 O 1.3652 10 of…

A: Given That :  x2+4x=10 and  xn+1=10xn+1 is the iterative formula for the given equation in [1,2] and…

Q: How many non-negative integer solutions (O is allowed) are there to r +y+ z = 24?

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

Q: 2etūsw ER' such that and iov-2.Than (3ü)(B)

A:

Q: and pigs in a field totals 35. The as exactly two legs and each pig h pigs are in the field. (Do not…

A: Given: Four playing boys marbles and their names have given.

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

A: Solution:     Definition of Bessel's function:

Q: How many non-negative integer solutions are there of the equation: x + y + z + w = 15, such that…

A:

Q: Q5: Define nilpotent element. Are 1 and 3 nilpotent elements of Z9?

A:

Q: 4. What is the coefficient of x? a) in (1 + 2x)117 b) in (2 – x)13? c) in (5 – 2x + y)'1, where y is…

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Q: 15 Apply Garass elimination methad to solve the Sy stem, 2X+y+22=3, 3x -Y+ 4Z=7 4X +3y +6 2- S

A:

Q: The carvings of the faces at Mount Rushmore in South Dakota measure 60 ft from chin to forehead. If…

A: Let the approximate distance between the pupils on the carving of George Washington's head is = x ft…

Q: Determine the general solution of the following Efuler equatión for x>°, g-2xy-4y= \0x using the…

A:

Q: 1. y = In(x? – 7x) 2. y = x³ In(x? + 3) 3. y = In(x? – 1)³/4x + 2 4. y = In v4 – 3x -

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Suppose that the number V6 is rational. Then 6 = for some p, q e ZZ with q + 0. Suppose that the…

A:

Q: O Find the Posifi ve value of * that işfie the egquation x-2X+ 452Bisection methed)

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Q: 4. A C B So pro 0 - mACB = 110; m/1 = ?

A: Given figure:-

Q: ΔLMN, LN is extended through point N to point O, m∠NLM=(x−4)∘,  m∠MNO=(4x−17)∘,   and m∠LMN=(x+9)∘.…

A:

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: Show, by using the discriminant, how many solutions 2x2-x-5=0  has. must show all work

A: The discriminant of a quadratic equation ax2+bx+c=0 is given by D=b2-4ac.  We have h quadratic…

Q: When dividing x^3+2x+4 by 3x+2 in Z7[x], the remainder is * O 4 O None of the choices 2.

A:

Q: 3. (a) How many solutions are there of the equation x + y + z + t = 14, where x,y,z,t are…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Suppose that X is a (A -e100, p 3e-100)-BCP. What is P(X(1)X (2)X(3) = 4)?

A: Answer is 4.

Q: If m*n Denofes -3伝 + Find the 2mn?

A: Given that m*n=2m-n2 therefore -3*5=2-3-52

Q: GIVEN: 2x - 3 = 7 PROVE: x = 5

A:

Q: Given 0≤θ<2π , solve 2tan⁡ θ−6=0

A: 2tan(θ) - 6=0 2tan(θ)=6 tan(θ)=3 θ=arctan(3) + n*π  θ=1.10714+n*π  (in the interval [0,2π])…

Q: What are all the possible rational roots of 2r'+3x-10r +4=0? +1, + 2, +4 only +1, ± 2, t 4, only ±늑…

A:

Q: 7. * (a) Use the lines through the point (1,1) to describe all the points of the circle x² + y² = 2…

A:

Q: Suppose ỹ = cje (:)- + czetx () is the general solution to = Aj. What is A O We don't have enough…

A: Use given differential equation y' = A y to find it.

Q: Can you please solve this question and show the steps

A: a. Finding the probability of getting 7:It is given that die is rolled one time.When a six sided die…

Q: a. Suppose that r E Q and r E Qª. Prove or disprove: The number (r – x)-1 e Qª. b. Prove or…

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

Q: how many integer solutions are there to the equation  X + y + z = 10 for which  a. x,y and z + 10…

A: The positive integers are all the numbers that are greater than 0. The negative integers are the…

Q: 2. Find the Solution 3=1.6 O.07 3. Find the Mocisure. of the markes ar 9. 8X+26 10

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Q: Prove that tanodo-n//2.

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Q: Translate this statement into its symbolic form: "For every rational number x, there exists a real…

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Q: Given: 5(2x – 8) = 30; Prove: x = 7 -

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Q: (x – 2)² – In x = 0, [1,2]

A: Follow the python script.

Q: 5. (8x*y® + 3x³) dx + (12x°y³ + 3xy²) dy = 0

A:

Q: 6 - The sPecial sotutron to the ९१५चमूं० . 22 2X P 04 d/other than that

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Q: 2. Compute the simple continued fractions for the following quadratic irrationalities: 1. a = VIT +5…

A:

Q: 1) Express with a rational denominator in simplest form. C Eynrocc the following with rotional…

A: Given:1.582.c2a2b

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: Estimate to the nearest integer. (Examples 1 and 2) 1. V23 = 2. V197 = 3. V15.6 = Show your work. 4.…

A: Look for the square root of a perfect square near the given number. Which will be the nearest…

Q: Prove that (AC) =C" A" 6.

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.