When dividing x^3+2x+4 by 3x+2 in Z11[x], the remainder is

Q: 1. (Logie) Give an answer for each item below. (a) Produce the truth table for the proposition Class...

A: Introduction: When a compound statement is always true no matter what the truth values of its compon...

Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

A: In order to answer this question you need to know the following notions:

Q: 7 .Assune p is an odd prime such that p ≡ 1mod4 (that is p = 4k+1) Prove: if a is a primitive root f...

A: Given: p≡1mod4       ∵p=4k+1

Q: [5 3 9 6 12 1 2 8. 4 7 A = -7 -8 [4 2 -3 2 Find m23

A: We have to solve given problems:

Q: 2. Express as a single power series form: Σ У(п - 2)аn+1(2х — 3)n+1+ > ап-1(2х — 3)п-1 n=0 n=2

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Q: Let G = R \ {-1}. Define * on G by a * b = a + ab + b. 1. Compute 2-² in G 2. Find the solution of t...

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Q: Using Riemann sums with four subdivisions in each direction, find upper and lower bounds for the vol...

A: It is given that, f(x,y)=7+3xy and  0≤x≤3, 0≤y≤2   It is given that there are 4 subdivisions. Theref...

Q: Determine the simple interest. The rate is an annual rate. Assume 360 days in a year. p= $330, r= 1....

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Q: Find the particular solution of an EDE (2xy2 +1)dx + (2x²y-y)dy%3D0 when x=2 and y=-2 Answer:

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Q: find two addi n<0<2n. 4,- |

A: In this question, the concept of the Polar Coordinate System is applied. Polar Coordinate System A p...

Q: Consider the following graph. 6- (4, 4) (4, 4) (1, 2) 2 | (3. 2 3 5 2. 3. (1, 2) 3 4 5 6 -1- 5- (a) ...

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Q: 13. A six – months moving average forecast is better than a three – months moving average 10. The de...

A: 11) option (a) is correct. The main purpose of time series moving average is to find the coefficient...

Q: Let V = R? and K = R. Which of the following are subspaces of V? Give reasons for your answers. *)(i...

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Q: cos 3n ( 8) Σ 1+ (1.2)" n=1

A: Here we will use following tests for convergence  Comparison test Suppose that we have two series∑an...

Q: 2. May plans to from Bank A 12% per ann decides to pa ordinary time

A: Given: May makes a loan on 15 January 2011 with a simple interest of 12% per annum. To determine the...

Q: Find the volume generated when the area bounded by the curve y2=x , the line x=4 and the x-axis is r...

A: Volume bounded by the curves, about y-axis.using Disk method

Q: the quadratic equation x2 + x = 3kx- k2 has two different real roots. find the range of value of k

A: The given problem is to find the range of value of k for which the quadratic equation has two differ...

Q: Q.4// Solve this assignment problem? * G1 G2 G3 G4 G5 B1 2 3 5 1 4 B2 -1 1 3 6. 2 B3 -2 4 3 B4 7 1 1...

A: We have to solve the given assignment problem.  

Q: x - 2)

A: # we are entitled to solve one question (max up to 3 subparts), please resubmit the other parts if y...

Q: rope 'B' to the length of rope 'A'. An alloy contains 2.5 kg of copper and 500 g of zinc. 8. a. Find...

A: Given that the weight of copper is 2.5 kg=2500 gm and zinc is 500 gm in the alloy.  

Q: Janet invites her friends Alex, Bert, Cindy and Dale to a dinner. Alex, Bert, and Dale all know Cind...

A:

Q: (a) 4sin 3t (b) 3cos 2t

A: Using the table of Laplace transformations, it can be written that: La·ft=a·LftLsinat=as2+a2Lcosat=s...

Q: A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D...

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Q: 3x?y Зу dx + (2x³ + 6 In x) dy = 0 %3D

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Q: a) Prove: If A, B and Care sets, prove that if A C B, then A-CC B-C. b) Write the statement "There e...

A: This is a problem of Logic.

Q: Find the general solution of the following equations: 1) y" + 2y' + y = e¬x

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Q: Solve the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system has...

A: we can solve as

Q: Let f(x,y) =x²+y² +cxy be a function on domain R?; c is an arbitrary constant number. (a) Write down...

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Q: (a) Students in school A and school B took a standardised math exam. The lowest possible score is 0;...

A: Given:   Students in school A and school B took a standardized math exam. The lowest possible score ...

Q: Suppose f(x, y, z) =

A: Given,            f(x, y, z)=1x2+y2+z2 and W is the bottom half of a sphere of radius 6.

Q: Let B, D be the following two bases of R°: 2 -1 B = 2 4 D = -3 -3 a) Find the change of coordinates ...

A: Given: B=222, -122, -320 and D=4-3-1, 0-3-4, 1-2-2  To find: Change of coordinate matrix PD←B from b...

Q: Pearl purchase a $278 car stereo at worst buy he paid $23 at the time of purchase and agreed to pay ...

A: Solution

Q: Find the value of x10 in 3 decimal places (positive value) using Fixed Point Iteration Method (10 It...

A: The given function is fx=e-x-x.  First we find the interval in which the function changes its sign.T...

Q: find the volume under the surface z = f(x, y) over the rectangle R. 1. f(x,y)=4xy, R = [0,1] × [0,1]

A: We can solve this using double integral  

Q: Solve the system 5x1 -4x2 +2x3 +3x4 = +x2 +3x3 +3x4 4x1 -3x2 +5x3 +6x4 3 3 2x1 -2x2 -6x3 -6x4 -6 12 ...

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear combina...

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Q: 1. Use Newton's method to approximate a solution of 4/r = 1+x in the interval [2, 3] to five decimal...

A: The complete solution is in given below  

Q: A radio commercial for a loan company states: "You only pay 33¢ a day for each $500 borrowed." If yo...

A: We have to find the value of Total amount and annual interest  rate. Simple interest (I)=Prt

Q: Which of the following is equivalent to p Select one or more: a. ¬(p^q) b. pVq c. pAq d. -p V¬q

A: Introduction: Two statements are referred to as logically equivalent if their truth values are the s...

Q: Use the fact that matrices A and B are row-equivalent. 1 2 1 2 5 1 1 A = 3 7 2 2 -2 4 9 3 -5 12 1 0 ...

A: Multipart :    We have given a matrix ,  A = 12100251103722-2493-512 We have given a reduced  row ec...

Q: Construct a truth table for each of the following compound statements, where p, q, r denote primitiv...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: 4. The Taylor series of the function f (x) about x = 0 is given by x4 x6 x8 f(x) = 1 + x² + 2! to 3!...

A: Introduction: Suppose, a function is continuous and differentiable at a certain point in the domain ...

Q: 1. A square and a circle are placed so that the circle is outside the square and tangent to a side o...

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Q: Question 13 3 = 5 (mod2) OTrue O False

A: We have to check that the given statement is true or false.

Q: A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D...

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Q: 4. Rectangle ABCD has vertices A (3,5), B (5,5), C (5,1) and D (3,1). Determine the coordinates of t...

A: Introduction: A point can be rotated around the origin by an angle θ in counter-clockwise direction....

Q: Find the root of sin/x - x 0 using Fixed-Point Iteration Method (absolute error < o.000o1). Solution...

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Q: Find the value of b if the complex number is 6 + 4j = 0

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Q: Eliminate the arbitrary constants of [2] and simplify.

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Q: The total width of each row of the pens should be feet, the total height of each column of pens shou...

A: