Find the quotient and the remainder when  2x^4+3x^3+x+1 is divided by 3x^2+1 in Z5[x].

Q: Evaluate the integral: x+8x-3 xp x² +3x²

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Q: SV21-

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Q: rivial of

A: To find the non trivial of Z8 as,

Q: Sketch 4x*2 -100y*2 = 25z*2 in R3

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Q: Express (j-3)" in rectangular form.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Evaluate the integral: 3xe-/4 dr

A: we will do it by integration by parts ∫uv=u∫v-∫u'∫v

Q: a) Lin 5) x2+2y2

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Q: 1. Use the Product Rule to differentiate y = x³(2x + 1)*.

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Q: iven by 5x3 at x = 1 is: %3D

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Q: 1) Use synthetic division to divide x^4-10x^2-2x+4 by x+3 2) Use synthetic division to divide5…

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Q: X, t 2 X, < 22 X,t 3, 2x x, Z12 + 2xa=32 maxlimzed by 2=5x, t10x2

A: The solution of given linear programming is given by using graphical method :

Q: 5. Calculate using synthetic division (16x +15x -1) ÷ (x+1)

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Q: Write a V ation of the line below. 8- 6- 2- -8-7 -6 -54 3-21 2345 6 -2- 4. -5. -6- CO

A: Given the graph of line:

Q: whats the integral of (3x-1)/(x2+10x+29)?

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Q: Find when y = -5 (In(x))¯4

A: Explanation of the answer is as follows

Q: 9. Calculate using long division. (x* – 5x³ + 6x² – 4x + 8) ÷ (x²

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Q: Evaluate the integral: 3x2 xp-

A: To find: ∫4-x23x2dx

Q: is Flaiy)= integrahing an 2

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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: sketch the preceujse - def med tunctror -32+2 if x <3 far. for 2. of 3<Y<S

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Q: Find two positive integers such that the sum of the firstnumber and four times the second number is…

A: Let the first number be x. Let the second number be y.   Given: x+4y=1000x=1000-4y   Determine the…

Q: 1. clx イーx2 -2 OF

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Q: How to get rid of a radical

A: A radical is a term with one by nth power of the variable. The radical sign is as shown on the white…

Q: Evaluate the integral of x³dx 1- 4x2

A: NOTE: Refresh your page if you can't see any equations. . .............(1) take  . ............put…

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: Evaluate the indefinite integral: (5z² +5x - 4) da

A:

Q: 3. Evaluate the improper integras: -0.5x +5+5 (a)

A: Part(a) Given:  Evaluate the improper integral.

Q: -9dx xVx2-9

A:

Q: Find 4 of 3xy –- x³ = 5 at (1, 2)

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

Q: Verify using Pathagoream Thereom EA 2xv x44 -radius

A:

Q: Determine the upper bound on the error in the approximation – 16x5 + 256x° if |x| < 0.2 - 1+16x4

A: Given:x1+16x4 ≈x-16x5 + 256x9

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

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Q: Express x8 - x as a product of irreducibles over Z2. Please be clear, correct and legible. Thank…

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Q: Show that 1 sech-1x = In x2

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Q: Evaluate the indefinite integral. (2x - 4)5dx

A: Solve the problem by substitution.

Q: the 1) By uing of far 3 deliv ahve 3x at X-2 . %3D

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Q: Eliminate the arbitrary constants in y = ex + c1e2x + c2e-3x

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Q: How to find the indefinite integral of ∫ 4/√9-x^2

A: Formula:

Q: Solve for x using natur 1) 5x-2 = 33x+2

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

Q: evaluate the integral of 10x/(4x2-8x+9)

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Q: Vx In xdx 1

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Q: find integral of 8xsin(4x2)

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Q: How to solve J5xt3dx ustrg=5x+3 for integuation

A: To integrate

Q: By applying product rule to find y' 3 (1+x*) x4 - x*

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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…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.