if the operaton ☆ is cde fined on the set of rational numbers by solve the equation X * 4= fx* 5)-(xá3) x * y= xty-2y

Q: r6 + x5 + 32x + 32 = 0

A: Given :  The given equation is ;  x6+x5+32x+32 = 0 To find : We have to find all the solutions of…

Q: Be sure to show your work for the following questions. 1 (a) Find the domain of f(x) = V4 – x4 - x2…

A: (a)  The given function is,  f(x) = 14-x4. We have to find the domain of f. (b)  The given function…

Q: [MO32] Given the function below, f(x) = { 0 0<x<n n < x< 2n find its Fourier a. Cosine Series b.…

A: Given, f(x)=0 for 0≤x≤π cos x for π≤x≤2π  To find: a)Fourier cosine series               b)Fourier…

Q: Use the Runge-Kutta method to solve the equation y" = xy' +y for x= 0-0(0-2)2-0 given that at x = 0,…

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Q: Determine the z-transform of the following sequences using the z-transform table and the z-transform…

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Q: Find the centroid of the quarter circle x? + y <7, y 2 |x| assuming the density 6(x, y) = 1. (Use…

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Q: a) Find the degree 3 Taylor polynomial T3 (x) for the function f (a) = 4 In() centered at the point…

A: To find the Taylor polynomial of degree 3 for f centred at a=2.

Q: Q1. Solve the following linear system using Gauss elimination method: 3x + 9y +3z = 3 a + 3y +3z = 2…

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Q: How many ways can 10 people line up at the front of a class if Billy and Samantha are together?

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Q: What is the z transform of h(n) h(n) = (1/2)", 0<n<3 Lo, 0, elsewhere 1+ (1/4)z2 + (1/8)z³ 1 +…

A: We have to apply the z transform properties.

Q: Integral Calculus application In a 4-D Euclidean plane, vector u = (a, b, c, d). In a 3-D space,…

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Q: L{sin? 5t} O 25 /(s^3+ 100s) O 50 /(s^3+ 100s) O 25s /(s^3 + 100s) O 50s/(s^3+ 100s)

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Q: 7. Draw a line through the point such that the value of the y-intercept is the same as the value of…

A: please post the multiple question separately.Here I answered 1st question as per out policy

Q: How many different orders are possible in Z*92639 (Hint: 91639 is a prime; 91638=2 . 27 . 1697).…

A: as 92639 is a prime number so Z*92639 is cyclic group of order 92638.

Q: A certain company makes it the policy that for any new piece of equipment the annual depreciation…

A: Following is the answer to the given question

Q: 2. A clothing store wants to stock sweatshirts that come in four sizes (small, medium, large,…

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Q: t² cosh 8t

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Q: (x – 3y + 3)dx + (3x + y + 9)dy = 0

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Q: 3. For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants, 2…

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Q: he an The matrix 4 -2 -5 4 A 3 7.5 -7.5 16 8 20 -19 is a matrix of a linear transformation T : R* →…

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Q: Determine the area bounded by the curves y^2 = -4x and y = 2(x+2).

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Q: So(by² i + x }) · dř =

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Q: Find the directional derivative of the function at P in the direction of v. f (x, y) = 3x – 4cy+ 9y,…

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Q: A company manufactures two types of cloth, using three different colours of wool. One yard length of…

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Q: se Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming that…

A: Given: f(x,y,z) = xyz and x+y+z = 28 , x-y+z =4

Q: 5. Given the equation: (x + 2y – 4)dx + (2x – 4y)dy

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Q: frz,y)= 1²-2xy +y? (8,9, 1) Le t 27yty-z =0 Fea,y, z) = ² 21y+y-z

A: For the explanation follow the next step.

Q: A function f(x) passes through the points (15.24). (18,37), and (22.25). Use the Lagrange Formula to…

A: The formula to find Lagrange interpolating polynomial is Lx=∑j=0nyj∏i=0,i≠jnX-xixj-xi. The formula…

Q: Simplify the complex numbers and express your final answer in polar form z = r(cos0 + isin0):

A: Complex number in polar form

Q: Proposition 82 (Ex4) Prove: For each integer a, a = 1. if a? = a, then a = 0 or %3D

A: Let a∈ℤ, ℤis the set of all integers. Let a2=a subtract a on both sides ⇒a2-a=a-a ⇒a2-a=0…

Q: Let n > 1 be an integer. We say that [x] E Z/n is a zero divisor if there ex- ists [y] E Z /n –…

A: Introduction: The units in a ring is very important. It is not necessary that every ring has…

Q: Which of the following transformations are linear? Select all of the linear transformations. There…

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Q: Solve for the following application of first order differential equations. Show your solutions. 2.…

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Q: portend Let 9 -8 11 A -12 2 Find bases for the kernel and image of A (or, equivalently, for the…

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Q: 3. For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants, 2…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: An ordered field is a field F together with the order ( satisfying the conditions (i) a+b(a+cif b…

A: To prove: No order can be defined on complex plane ℂ, such that ℂ is an ordered field.

Q: 1 -1 V1 = V2 D ,V3 -1 -4 -1

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Q: The z-transto Find the Z-transtorm the sI (u)x sequence x1(n) = x(3 – n) + x(n – 3). 2z-2 - 2z3 -…

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Q: For f(x) = 7x +4 and g(x) = x, find the following composite functions and state the domain of each.…

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Q: use elimination pmethod te salue- At +2xg=17

A: We have to find the solution of the given system.

Q: A company has three factories. Each factory produces three different products (A, Band C). Factory 1…

A: 1st we will make a Linear program with given data and then make simplex tableau  using them

Q: dy + sin 2x + sin 2y + 2 sin 2x sin 2y dx solve by Separable method

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Q: Evaluate the ff. Given: А b 1 -1 1 1 2 y 1 -2 4 3 4 1 1 1 1-1 W | Find: a. Adjoint of A b. Inverse…

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Q: 2 Find the following required partial derivations: igal ,find f.(x,1); • (1) For f(x, y) = x + ( y –…

A: Let us consider the given function y=f(x,y) The first order partial derivative is  ∂f∂x,∂f∂y The…

Q: Find all the singularities of the f(z). Are they isolated? sin z z3(z – 3i)² sin f(z) = Classify all…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 4.43. xe" dx + (y-1)dy 0; y(0)=0

A: As per our company guidelines we are supposed to answer only the first question. Kindly re post the…

Q: Let U= {1, 2, …9} be the universal set and let A= {1, 2 , 3, 4, 5} and C= {5, 6, 7, 8, 9} and B= {1,…

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Q: Be sure to show your work for the following questions. (a) Find the range of y = 2x2 + 6x – 4; (b)…

A: (a) To find: range of y=2x2+6x-4. (b) To find: the formula of a quadratic polynomial that passes…

Q: Determine the intervals on which f(x) is positive and on which f(x) is negative. f(x)=x*-3x+8x-10x-S…

A: Given function is fx=x4−3x3+8x2−10x+8. We have to determine the interval on which fx is positive and…