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

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A: Integrate (2sinx+3cosx)2

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A: Given, ∫sec22x+3 dx   We have to integrate it

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A: The integral can be solved by first simplifying the integrand by partial fraction decomposition.…

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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: What is the value of f(2) for the polynomial x ^ 3 + 3x ^ 2 - x + 1 ? What does this mean about the…

A: Here, fx=x3+3x2-x+1

Q: rivial of

A: To find the non trivial of Z8 as,

Q: 9. Integral (2x-5) ai x² = 5x + 3 -

A:

Q: 3) 2dx 2dx (3x+12x-15)호 x(3(\nx)"+1지lnz-15)호

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Q: 2(5x – 1) + 2 = 2x – 4(x – 1) - -

A: Use BODMAS rule, BODMAS rule says that first solve Brackets then solve Order (powers) then calculate…

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: Root with x = Multiplicity 4 1 5+ 4- 3- -7 -6 -5 4 -3 -2 -1 2 3 -1- -2 -3- -4 -5+ 6 2.

A: Consider the graph

Q: The product of 2x3 + 3x² + 1 and 2x2 + 4 in z3 [x]/ is: None 4x+1 5x^2+ 5x +1 x^2+2

A:

Q: Evaluate the integral. 6 1 (x² - 1)3/2 2 (x²

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Q: tan (csc-' (2x + 1)) 2x+1 a) V4x2+4x O b) 1 V4x2+4x c) V4x2 + 4x O d) 2x + 1

A:

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: Q1. Find the general solution for the non-homogen 1st OLDE using undetermined coefficient method.…

A: Given Y'=-3-456Y+5-6ex

Q: Find the total ancd neguon between x-axis and the gruph of y==X2 - 3X, -7sx52

A:

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: integral of (3x2+x+4)/(x4+3x2+2)

A:

Q: 5x^2 - x - 4 Factor completely Using ax^2 +bx+c form

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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 of * xdx Vx2-6х +13 |x-3+ (x-3)- 3 In Scx – 3)² – 4 + c x-3 3 In 6x +13 Option…

A: Explained below

Q: dx 4. xV25-x2 5+vx2-25 In + C а. 5 b. In 5+Vx2-25 + C 5+v25-x2 In + C с. -- d. None of the above

A:

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

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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)

A:

Q: When integrating (x+3)/(2x^2-3x-3), can I rewrite as integral of ((2x^2-3x-2)^-1)*(x+3).

A: Consider the given integral function.

Q: Express as a polynomial. (2u +3)(u - 4) ( 4u+u ) 2

A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

Q: The product of 2x³ + 3x² +1 and 2x² + 4 in z5[x]/ is: None 5x^2+ 5x +1 x^2+2 4x+1

A: Group of integers modulo 5 Z5=0, 1, 2, 3, 4 Now  Z5x denotes the ring of polynomials with…

Q: 1. clx イーx2 -2 OF

A:

Q: 13, find all the ze 12. f(x) = 3x³ + 14x² – 7x – 10 %3D -

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

Q: Find 4 of 3xy –- x³ = 5 at (1, 2)

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

Q: Evaluate the integral [5x/( x²+1)(2x-2).

A: Given, the integral

Q: 4sx+2s24 O 2sx< 22 O -2<x < 22 O 2<xs 22 O -2sx<22 o search

A:

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

A:

Q: - 25a³ + 25x² 19x + 19 -dæ Integrate: 25x² + 16

A:

Q: Find product solution for this PDE: xuy - yuz = 0. %3D

A: Solution of partial differential equation.

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

A:

Q: Find the integr

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Q: -y=In(5x -2x+1) 3 In n(5x² -2x+1 %3D

A: This is the problem of function.

Q: x - 6x = 2r – 4y Hom: of the funsti

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Q: # (u²-1)4 (u² + 1)4 du

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

A: ∫xdxx-1

Q: Find 2 for all of: 1- y = xvInx 2- y = 3 x(x-2) x²+1

A:

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…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.