28. Express xg - x as a product of irreducibles over Z2.

Q: 3. Use thereom division Value. Verify different rema and to find 6 C methos F(x) = 2x³-9x +(-2)=…

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Q: Find the value of the integral x²dx (x² + 9)(x² + 4)² 0-

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

Q: Determine the stepsize that can be used in the tabu- lation of f (x) = sin x in the interval [0,…

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

A: 1)  The statement is true  Now to see  ho the given polynomial is irreducible or not

Q: Find дхду of z = In(x² – y)

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Evaluate integral the 6x ..d. (x²+4)(2x-2)

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Q: 2. If the area (A) of the rectangle is (4x³ + 5x + 7) and the width (W) is (x + (Z + 4)). Find the…

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Q: You are being asked to find the root of (x-11)*(x-33)*(x-44)*(x- 55)*(x-87) = 0 with x= 1+1.5 and…

A: Let, f(x) = (x-11)*(x-33)*(x-44)*(x-55)*(x-87)  xl = 1 + 1.5 = 2.5 xu = 88 + 1*8 = 96 Then, f(xl) =…

Q: Express the radical as a power with a rational exponent.

A: Rational component is a number that can be expressed as ratio of two numbers. Example for a rational…

Q: аги аги + дх2 т дуг = 0 =

A: We have to solve given problem:

Q: Determine whether x^5 + 2x^2 + 1 is reducible over Z13

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Q: It is possible to rearrange the expression 1 ax + b + x - 1 into the form Rx² + Sx + T x - 1 where…

A: SOLUTION IS GIVEN BELOW

Q: we have to evaluate the intepd 3-27-n² d7 -(-27-2)-1 write x us

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Q: Maximize Q= 4xy", where x and y are positive numbers such that x+ y =11. %3! (Type an exact answer,…

A: given function :

Q: Find the absolute extremum value 1. y = x³ + 7x² – 5x; on [-6,1] 2. y = x* – 8x² + 16; on [–3,1.

A: Since you have posted multiple questions as per our guidelines we are allowed to answer the first…

Q: S x² - 2x² + 3x² -x +3 "x²³ - 2x² + 3 +3

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Q: 1. If find the value of a. L²Lke + (x + 2y)dydr = 10, a

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Q: The base of a three-dimensional figure is bound by the semi-circle y = √4x². Vertical cross sections…

A: In the figure, the strip shows the width of the rectangle perpendicular to x-axis.

Q: if the operaton ☆ is cde fined on the set of rational numbers by solve the equation X * 4= fx*…

A: Solution :  Given that the operation * is defined in the set of rational numbers by    x * y = x + y…

Q: How would you remove the dis . z46 f(r) =

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Q: Find a cubic polynomial f(x)=ax^3+bx^2+cx+d that has horizontal tangents at the points (-3,2) and…

A: We have to find the cubic polynomial f(x)=ax3+bx2+cx+d...........(1), so that it has horizontal…

Q: Rationalize the denominator of 5/(square root of 14) - 2

A: We need to rationalize the denominator of

Q: (3D2 + 5DD' – 2D'2)Z = 10 cosh(2x + 5y). -

A:

Q: State the domain of the rational function. 7x-6 f(x) = 4x +S OA (-*, *) O B. (-*, 2) U (2, ) Oc (…

A: Domain is defined as the set of values of x for which the function is defined.

Q: ALL WORK MUST BE SHOWN 1. What is the product of 5x²z³+ 3xy - y² and 4x² + xyz + 3y?

A: Product one by one we get

Q: Find the complex zerős Of f(x) = x* + 13x² + 36

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Q: 9. Find the quotient and the remainder of x³ + 2x² – 1 divided by 3x2 +1 in Z7[x].

A: Note that for Z_7  Any number is equal to the remainder when it is divided by 7.

Q: Given that f(x) = 12x' - 32x2 + 3x + 5, obtain signs of f(-1), f(0). f(1), f(3) and deduce that…

A: Given that f(x)=12x3-32x2+3x+5 Let us find the signs of f(-1); f(0); f(1); f(3)…

Q: Find the positive smallest root for f(x) = 4cos(2.x) + 2.x -6 a) by using bisection method with the…

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: 55 5x + - - z 5x + 6y = 0

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Q: While reducing the fraction 200..0z 300...0y (x, y + 0) in which between 2 and a and between 3 and y…

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Q: 1. Find a real root between 2 and 3 of the equation x3 – 2x2 + x – 3 = 0, correct to three decimal…

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Q: f(x)=x^3-3x-1

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Q: It is desired to place a volume equal to 40 m^3 in the truncated cone. It is known that the radius R…

A: The given dimensions of the truncated cone are R=2 meters, r=r and h=5r. The given volume of the…

Q: It is possible to rearrange the expression ax² + bx + 1 x +1 into the form T Rx + S + х+1 where R, S…

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Q: Evaluate the definite integral (6x2 – 4x + 7) dæ - 3.

A: Evaluate : ∫366x2-4x+7dx

Q: Determine the root of the given equation f(x) = x³ + 2x2 – x- 2 = 0 for x %3D %3D using bisection…

A: Using Bisection method

Q: Write the eguation of a sixth degree uatioN with a root of 2 with multiplicity of 2.r0ot of -3 with…

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Q: 100x? – 180xy +8ly² lim (x,y)→(9,10) 10x+9y Find by rewriting the fraction first. 10x - 9y

A: First I have simplified the given expression and then find the required limiting value. Answer is 0.

Q: 4. Find the roots of the following over C (a) x2 + 18x + 97 (b) x3 +3x2 - 6x -8 yes that is a cubic…

A: a)  x2+18x+97 Using the formula, x=-b±b2-4ac2a x=-18±324-3882x=-18±-642x=-18±i82x=-9±4i   c)…

Q: 2). when 2x°-3x+Kx-1 is divided by X-1 the remainder is 2, find Ke

A: value of k is 4  see below the calculation and answer

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

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Q: 7. How many roots are there to the function J (X) = -3x" + 8, How do you know?

A: topic - quadratic equation

Q: Use cubic interpolation method with two points to find µ2 , where a = 0.6, h = 0. 1, ɛ = 0. 001 and…

A: Given: Let's determine μ2 using cubic interpolation method,  here a=0.6, h=0.1, ε=0.001,ϕι=-2.7

Q: Write down the statement for the remainder theorem for a CUBIC Equation. Once completed verify this…

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Q: x to the third minus 512 over x-8 and must be solved using synthetic division.

A: First of all, consider the dividend and the divisor.

Q: If f(x) = x4 + 2x3-5x2-x+6, P what would be the list of possible rational roots? Arrange your list…

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Q: ven the polynomial y = 29x – 10x? – 21, • list the possible rational roots:

A: