Let 0 be a root of the polynomial x³ + 3x + 7. Prove that 0 is prime in Q(0).

Q: H.W Find the Adjoint to the following matrix 4 X = -3 7 1

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Q: Find the function y, of t which is the solution of 49y" + 14y'-35y = 0 with initial conditions Y1 (0...

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Q: Ken is paying P2,500 every 3 months for the amount he borrowed at an interest rate of 8% compounded ...

A: Given information Paying every 3 months P=2,500 Interest rate r=8% compounded quarterly For compound...

Q: с. 13 17 improper fractions, like fractions & unlike fractions. 5 19 11 3 4 4 7' 2 IV. Classify the ...

A: Proper fractions are those whose numerator is either equal to or less than the denominator.

Q: Please have this written on a piece of paper because the last one was barely readable

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Q: 15. which are subgroups a. (1, 7, 49, 43) b. (1, 9. 19, 21, 39, 41, 49) e. (RO, RS0, V. H, D) (80. 1...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: Q7. Find f(3) for x 0 1 2 4 5 6 f 1 14 15 5 6 19 a) By Newton's divided difference formula b) By Lag...

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Q: Q7. Find f(3) for x 0 1 2 4 5 6 f 1 5 6 19 14 15 a) By Newton's divided difference formula b) By Lag...

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Q: Prove that every algebraic integer divides a rational integer.

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Q: Problem: The 2013 earthquake in Bohol and Cebu had a magnitude of 7.2, while the 2012 earthquake tha...

A: 3. The logarithmic equation can be transformed as follows:  

Q: Criven three points in R? x,=[-l,',2], [-1, !,2]", X, =-1,1,2]" and 1g=(-!,T,2]". Pind the %3D %3D %...

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Q: 3. Consider 20 points where no three or more points lie on a straight line. How many straight lines ...

A: Introduction: From a set of n distinct object, r distinct object can be selected following no repeti...

Q: 41. A rubber ball is dropped from a height of 15 meters. On each rebound, it rises 23 of the height ...

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Q: Find the l.c.m of 10,12 and 20

A: Given numbers are 10, 12 and 20. We have to find the l.c.m of 10, 12 and 20. 21012202561035355515111

Q: Problem (Spherical Segment): The volume V of a liquid in a spherical tank of radius R is related to ...

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Q: 2. Supposed x +y = 4, and x* + y* = 6, what is xº +y°? A) 8 в) 6 C) 4 D) 10

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Q: tan(4 + 3i)

A: Solution:-

Q: Consider the conic of equation: x2 − 2xy + y2 − 2x − 2y + 1 = 0.                                   ...

A: This is the problem for the general quadratic and rotational axis.

Q: Solve y42-2 cos a yn+l + Yn = cos Cn.

A: Differential equation: yn+2-2 cos(α) yn+1+yn= cosαn (D2-2 cos(α)D+1)yn=cosαn

Q: IV. Let ƒ be the function defined below. |z² + 3x| Discuss the continuity of f at 1 = -3, r = 0 and ...

A: This is a problem of Real Analysis.

Q: f(2) = Asxg(z+) Z complex o. find points of continuity i duontinuity and label it as removable ox no...

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Q: Let Mı5(IR) = {A/A and 15th order square matrix with real elements} and consider the linear operator...

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Q: 60. It is the 1/8 of the full circle. A Octa - quadrant C. Octant B. Octagon D. Octave 51. Simplify ...

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Q: Stock Prices The ending cost (in dollars) per share of products of Tempco Electronics on the tth da...

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Q: Consider the following linear differential equation, sin(z) y' – cos(z) y = 5 cos(x) (a) Calculate t...

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Q: Question 6 Find the general solution of (2x + y cos (xy))dx + x cos (xy) dy= 0 Show your solutions o...

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Q: determine the longest interval in which the given initial value problem is certain to have a unique ...

A: Given IVP is  y"+(cos(t))y'+3(ln|t|)y=0......(1) y(2)=3,y'(2)=1.  

Q: Q2/ Solve the following system of equations by Gauss- Elimination method. -4 x + 4 y+z-2 w = 2 y +7z...

A: Given system of linear equation is −4x+4y+z−2w=2y+7z+w=5x−y+3z+w=12x+y+w=3.......1 We have to solve ...

Q: (-1)*+12nx" Σ Determine the interval of convergence of n2 + 3 n=1

A: This is a question from the series.

Q: Click and drag all relations on the set A= (0, 1) on the right column into the left column. Relation...

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Q: Find the LU Decomposition of the following matrices. [7 1) A = |2 [4 -1 5 3 -2 8 11] -5 2 -91 2) В %...

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Q: 3. Consider the periodic system y' = A(t)y, -1+ 0t 1-ost sin |-1- sint cost ) 3 cos2 2 3 3 A(t) = 2 ...

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Q: From the given functions that are mapped from Z to Z. identify the onto functions. (Check all that a...

A: The onto function f from a set A→B is defined as follows:

Q: 3. betweem z =- - 0.78 and z = 1. 95 4. between z = 0.76 and z =

A: ANSWER 3:   The area between z = -0.78 and z = -1.95 is given by: = P(-1.95 < z < -0.78) = P(...

Q: prove that (sin?acos?a)(tan²x + cota + 2) = 1

A: Here we use simple geometry to prove this

Q: There are three children in the Skosana family. Each week the eldest earns R270, the middle child ea...

A: The comparison of two numbers  by division is known as the ratio. It is denoted by symbol ":" A rati...

Q: + 2x + 26 x+1 23. Supposed we let x + 1 = 5 tan 0 in the expression · what will be the resulting exp...

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Q: Une I Is showm below. Right briangles ABC and DEF are drowm bo meosure the slape of the line. 下 A Co...

A: The steepness of a straight line is measured by its slope. For a straight line, the slope is calcula...

Q: 3s-5 s2+4s+2 Ans: 5.39e-3.41t 2.39e-0.586t 2.

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Q: Prove that if {u, v} is linearly independent, then so too is {u+ v, u - v}.

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Q: 2. lim f(x)= X-2" 1. lim f(x) = 3. lim f(x)= 4. lim f(x) = X-2 5. lim f(x) = %3D

A: given graph is

Q: 1. Consider the following Linear Programming (LP) problem: Maximize z = 3x1 + 2x2 Subject to 2x1 + x...

A: According to Bartleby guidelines we're supported to answer only one question when two or more differ...

Q: Question 9 Find the general solution of the D.E. ye2x dx = (4+e2x) dy Show your solutions on a separ...

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Q: - Log(3+ 2) = Ln(3+2yLn10 A 0514 +j0235 B. 0.567 +j0245 C. 0.556 + j.0255 D. 0.578 +j0285

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Q: Now it's 11:30 p.m. what was the time 9 hours ago

A: Now time is 11:30 pm

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: The total length of the wire is 48 cm.  

Q: Find the general solution of the D.E. ye? dx = (4+e2") dy Show your solutions on a separate sheet of...

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Q: Let  : IRn → IRn be a linear operator whose characteristic polynomial of T e: pT (λ) = λ (λ2 − 1) (...

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Q: Answer each of the following items accurately and write the letter of the correct an swer on your an...

A: Consider the pair of parallel lines and assume the diagonals as the transversals.

Q: f (t) = u(t) + (1 – t) · u(t – 1) +(t – 2) · u(t – 2) -

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