The product of 2x³ + 3x² +1 and 2x²+ 4 in z5 [x]/< x³ +1 > is: O 5x^2+ 5x +1 4x+1 О х^2+2 None

Q: conjugate of v-1-3 is 1- V-1+3 2- -V-1-3 -V-1+ 3 3 - V-1 2- 4-

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Q: 4. Find for the positive root of x³ = 2x + 5 using method of False position. Do only %3D four…

A:

Q: One of parts (a) and (b) can be integrated with the Power Rule and the other cannot. Integrate with…

A: (a) can be integrated using power rule. (b) can not be integrated using power rule because (b) has…

Q: (22-4) (교3-4z)3 dz

A:

Q: rivial of

A: To find the non trivial of Z8 as,

Q: Use the elimination method to find all soluti { % 4x - Зу 3-24 -7x + 6y = { By = 45

A: Given,             The system of equations are                4x-3y=-24                -7x+6y=45

Q: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1 A True False

A: We have to state whether the given statement is true or false and its reason is given.

Q: /4y² - 25 -dy

A:

Q: Evaluate the indefinite integral S(z -9-dz 를-9z + 듣 +C 4x4 중-9z + + C 222 - 9x + 7lnx³ + C - 7 9x -…

A: First we write each term using exponent

Q: ) Express 8-x over Q[x] and over F2[x] as a product of irreducible ynomials.

A:

Q: If z1=1-1,z2=-2+4i. Evaluate |2z2-3z12. pdf.

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Q: 12 Integrate: ,V4 - z² + dr

A: The given function is 4-x2+x7+24-x2 We have to integrate this function over the interval -2, 2

Q: Compute for 4+ 3X {(-2,-1,0} (X)+ X²I{1,2,3}(X)

A:

Q: Find all the separable solutions to the equation 0 0 и, (0, г) %— и,(1,1) 3 0, г>0. Ин — ихх + и…

A: In the given question we have to find the solution of the given non homogenuous wave equation s.t…

Q: Evaluate the Integral 2. S V5 + 12x – 9x²dx - ANSWER: 2. (3x-2)v5+12x-9x²+9Sin¬13*- 2]+C (3х-2)

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Q: the smallest possibl product of the two numbers x>= 0 and y<= 0, such that 2x-y=120 is:

A: Let x and y be two numbers such that  x≥0,y≤0, 2x-y=120y=2x-120

Q: Explain why 3-1 does not exist in Z24.

A: Proposition: If is element in a ring then cannot be both zero divisor and unit. Given:

Q: Verify that x² +1 = (x² + v2x + 1)(x² – V2x + 1). %3D

A: **Since you have asked to solve question no. 42, you will solve that question.Question 42.We need to…

Q: 2.1,2.-5, I 3. 9.)-2, 5 -3. 2 2 3 169-4,2 -3.4 .3,¢ 2

A: Note:- according to the company policy we can attempt ?️ only one question so please upload the next…

Q: Show that Live - de = In(V5- 2). -1 Vx2 + 2x +2

A: We need to show that, ∫-11-dxx2+2x+2=ln5-2

Q: Evaluate the integral: Sen(1²2+3x-7) е dx A x² + 5x+In 3x-6|+C XZ B +5x+31n|x-2|+C 2 C x ²2+ = +…

A: On solving this we will get

Q: Does (Z11 , + , .) have subfields? In this case which subfields.

A:

Q: Find the number of positive integers less than 1000 that can be expressed as the difference of two…

A: Find the number of positive integers less than 1000 that can be expressed as the difference of two…

Q: 10. Subtract 2- V- 64x²y* from – 3– xy-9y' and express the result in a + bi form

A: Answer and explanation is given below

Q: 1 zp- A) B) is larger than 17

A: The given integral is ∫1∞1x5+4 dx We have to determine weather the given integral is larger than…

Q: Solve by L'U decomposition method Xit522+Xるこ4 -31¢10X2-2X3=6 XI +4X2-2x3=-3

A: The given system of equations is. x1+5x2+x3=4-3x1+10x2-2x3=6x1+4x2-2x3=-3 This can be written as.…

Q: 1 Find the interval and radius of conv. of- '(1–4x²)

A: According to the given information it is required to find the interval and radius of convergence of…

Q: The integral of f 2rVr² - 5dx by substitution method is 3(z 5) + C 2. 2(r 5) +C 3. 3(z 5) 21 2( 5)

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Q: Show that the polynomial z5 + 14z + 2 has four zeros in the annulus </2 < 2.

A: Given

Q: Show that L₁J - dx x² + 2x + 2 = In(√5-2).

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Q: Evaluate the integral 4-x² ^2+/4-x²-y² 2 (x² + y² + z²)³/²dzdydx -2 J-V4-x² J2-V4-x²-y²

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Q: Exp (tr/0.32) MT BF due to tr : (9.6X1018 )x 250x106 x1 fose T 0.3ns - TrE 14:99 N 151(D-flip flop…

A: the first step is MTBF=exptr/0.37n9.6×10-18×250×106×1 given tr=14.99≈15n substitute the values…

Q: Find 4 of 3xy –- x³ = 5 at (1, 2)

A: Given; 3xy-x3=5 at (1,2)

Q: Calculate GCD(x3 + 2x2 + 3x , x2 + 3x + 2) in Z5 [x]. What is wrong with my answer? The correct…

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Q: り -3,-4,5 5.) 2 3 -2,3 3 (6.) - 1 -s.-1 ー9 し 一2

A: When all coefficients of a polynomial are integers, the polynomial is referred to as a polynomial…

Q: Find the integral of  (3x2-4)/(x3-4x+1)

A: To find  ∫3x2-4x3-4x+1dx

Q: Evaluate the integral of (2x-3)/(x3+3x)

A: Indefinite integration

Q: 2) Find dy of: 7x 5 上 (3-2x

A: We know that  ddx(xn)=nxn-1

Q: Find the integral of -7x^2+1 / (x^2-2)^5

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Q: Verify that Jp+1(x) + 2J½(x) – Jp-1(x) = 0

A: We have to prove given result:

Q: 18x°z³ 53 sume that all variables represent positive real numbers.

A:

Q: 2. Show that (2x + i)(2x– i) = 4x +1 %3D |

A: Prove the equation

Q: How do you integrate z/(z+2) in terms of z?

A: Here, integral is,

Q: x2 = 2 In(x +2) %3D

A: The false position method (also known as Regula-Falsi method) uses the formula:…

Q: 19. (x, 4x), (-2x, 3x), given that x < 0 -XV10 (since x< 0, Vx2 = -x) %3D 20. (x, 4x), (-2x. 3x),…

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Q: is a factor of 2 + 5z2 – 5x +1. - O I+1 O 2z +1 O +2 O 2x -1

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Q: the infinite integral of 3x^4-2x^3+6x^2+23x+7/x^2-2x+5

A:

Q: N is a 2 digit no with non 0 digits. When n is added to thrice its reverse,the result is 145  If…

A: givenN is a two digit number with non-zero digitlet, 'pq' be the digits in the number N.where 'p' is…

Q: Evaluate the integral. 0.8 V 16 - 25x2

A: The given integral is  ∫00.8x216-25x2dx

Q: find integral of 8xsin(4x2)

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Q: Express x8. -x over Q[æ] and over F2[x] as a product of irreducible

A: Let f(x) = x8 — x. Over Q,f(x) = x(x7 — 1) = xϕ1xϕ7x=xx-11+x+...+x6 Note that  ϕ1x and ϕ7x are…

Q: # (u²-1)4 (u² + 1)4 du

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Q: Prove that equation x^2 + y^3 = 60 does not have any positive integer solution. Prove by…

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Q: evaluate Inteyral 2 2x-1 x3+x2

A: The given integral is ∫124x2+2x-1x3+x2dx. Calculation: Rewrite the partial fraction of the integral…