Calculate the composite functions fog and go f. f(x) = 7, g(x) = x8 f(g(x)) = g(f(x)) =

Q: The polynomial f = x³ + x² + 1 is irreducible over Z2. Let u be a root of f in some extension Z₂(u)…

A: Given that f=x3+x2+1 is irreducible over ℤ2Let u be a root of f in some extension of ℤ2u of ℤ2Since…

Q: Q5:: Approximate (x³ + 1) dx by using the Composite Midpoint rule n=2 and determine the error form.

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Q: [3.7] Consider the following linear programming problem: Maximize 2x₁ + subject to 2x₁ + XI X1, x2…

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Q: Find a function g such that domain(g) = (-∞0,0) U (0,00), g(x) 0 for a > 0, and g has a continuous…

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Q: [3.5] Solve the following linear programming problem by the simplex method. At each iteration,…

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Q: A BASIS FOR Q-DESCRIBE THE BASIS IN ROSTER THE ELEMENT IN INCREASING GIVEN ENENSION OVE METHOD. LIST…

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Q: Show that the mapping Φ : D --> F in the proof of Theorem is aring homomorphism.

A: Given: The mapping ϕ : D→F. To Prove: ϕ is a ring homomorphism.

Q: In the coordinate plane, the point x(1, 3) * i translated to the poire X^ * (6, 5) , Under the same…

A: Given: From the given, the coordinate plane X1,3 is translated to the point X'6,5 and the point…

Q: Use the drop-down menus to explain if the two figures below are congruent, similar, or neither. If…

A: Given Data: We have to explain the given two figures are congruent, similar or neither. If it is…

Q: Write the equation of the plane passing through P with normal vector n in normal form and general…

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Q: Which Venn Diagram represents A ? A A A B B 0 A B U U

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Q: The intersection of (possibly infinitely many) open intervals, each containing 0, must be again an…

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Q: For the open-top box shown below, find formulas for the volume and the total amount of material (the…

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Q: Let n be a positive integer and let f : [0..n] → [0..n] be an injective function. Define the…

A: We are given the information that         f : [0 . . . . . n] → [0 . . . . . . n] is an injective…

Q: u Let Express of u be the as a un root product of f below below in Simple as as some Q(u) of Q.…

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Q: Elimination produces A = LU. The eigenvalues of U are on its diagonal; they are the __ . The…

A: Given: Elimination produces A = LU.The eigenvalues of U are on its diagonal; they are the __ .The…

Q: Refer to the vectors below. b = [4, 3, 1] c = [1, -4, 1] d = [−1, −1, −3] Compute the indicated…

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Q: Iteración 1 2 N Xi f(x)=e²x -x-6 Tabla II - Método de Newton-Raphson f(x₂) f'(x₂) Ea (%) & (%)

A: Given, f(x)=e2x-x-6 x0 = 0.5, Es = 0.05% and Xreal =0.9708

Q: Let w = 3y dx + 3x dy + dz be a one-form on R³. Find a parametric curve a : [0, 1] → R³ such that […

A: Given Data: Let us consider the given data, ω =3y dx +3x dy +dz . To Find: The determine a…

Q: ū=i-j + K ✓ = 21 +j-2 K W = i +2j - K xv = i +4j+3K Prove (uxv). w = 4

A: Given vectors are u=i-j+k v=2i+j-2k And w=-i+2j-k

Q: Problem 2. Find the order of each of the following elements in (Z540, +540). 1. 20 2. 18 3. 135

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Q: 13 cans of paint with -liters of paint in each were used to paint 4 identical cars. 6 How can you…

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Q: Let T R → R" be a linear transformation, and let {₁,...,} be a set vectors in R". Prove that if…

A: Given that T:ℝn→ℝm be a linear transformation, and v1, v2,....,vp be a set of vectors in ℝn. We have…

Q: Water is pumped at a rate of 6L/h. How long will it take to pump 14L (Answer in hours and minutes)

A: The pump Flow rate is defined as the volume of the fluid that is moving through a pipe in a given…

Q: x y Illustration 6.30 If+= √2 touches the ellipse a = 1, then find its eccentric angle of point of…

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Q: 5) Solve the following linear programming each iteration, identify B and B Maximize 3x₁ subject to…

A: Given that   max = 3x1+2x2+x3 subject to 3x1-3x2+2x3≤3                 -x1+2x2+x3≤6…

Q: - Given that (x+2) is a factor of P(x) = 3x³ + 3x² – 10x – 8, find the corresponding factor, f(x),…

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Q: The point P(5,-2) lies on the curve y = (a) If Q is the point (x, (1) 4.9 MpQ (ii) 4.99 MpQ (iii)…

A: Given that P(5,-2) and y=24-x the equation of the curve. Q (x, 24-x) lie on the curve.

Q: T3 Evaluate the upper and lower Riemann sums for f(x) = x2(3-x) for 0≤x≤ 2 with (a) na = 4 and (b) n…

A: Given, f(x)=x2(3-x) for 0≤x≤2 with  (a) n=4 and (b) n=8

Q: In Exercises 1-4, determine if the vectors are linearly independent. Justify each answer. 7 000 1 2…

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Q: Complete the following subtraction using 8-bit signed two's complement binary. For your answer,…

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Q: Convert DE716 to Octal.

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Q: Find f(x+h)-f(x) h 2 f(x) = 5x + 14x-13 OA. B. 10x+14+5h 2 10xh + 14h + 14h² C. 10x+14 OD. 5x+6+ 10h

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Q: If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle then find the radius of the circle.…

A: The diameter of circle is the perpendicular distance between the parallel lines (tangents) 3x-4y+4=0…

Q: What are the possible orders for the elements of S6 and A6? Whatabout A7?

A: The given S6 is symmetric permutations. And A6 is even permutations. We have to find the possible…

Q: Sketch the graph of the function. f(x, y) = sin(x) ۱۲۲۰۱ ۲۲

A: To find which of the following is the graph of  f(x,y)= sin(x) .

Q: Solve the problem. The graph shows the average cost of a barrel of crude oil for the years 1981 to…

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Q: Write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the…

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Q: Let A = [1 01 0 4 3 0 30 12 0 01 0 0 0-2 8 -2 0 [1 0 01 00 echelon form of A is Row Space basis:…

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Q: The particle has the acceleration a(t) = -16k, initial velocity v(0) = i + j, and initial position…

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Q: Let the linear transformation T: R³ → R² be defined by T(1₁, 12, 13) = (₁ + I2, I2+I3) (a) Find the…

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Q: Ricky is making a quilt that measures 7 feet wide. He wants the area of the quilt to be greater than…

A: Assume length of qulit=x unit According to Questions Area is greater than or equal to 56

Q: 21. a²uxx = ₁; u₁(x, t) Unti u₁(x, t) sin Ax, λ a real constant = sin(xx) sin(at), u₂(x, t) =…

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Q: 3. Show that the initial value problem * = |x|¹/² x(0) = 0 has four different solutions through the…

A: Given: Let us consider the given IVP, x˙=x12x0=0 To determine: Graph these solutions in the t, x…

Q: Given f(x) = 3√√x - 1 and g(x) = 1, identify the domain of f + g. a) {xx ≥ 1,x € R} b) (xx ≥ 1 and x…

A: Given that the functions fx=3x-1   gx=1x    .

Q: Find the projection of v onto u. 1 -AHD V = 1 proj (v) = U = Draw a sketch. O -4 8

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Q: T(x, y, z) = (x+3y, y - 2z)

A: The given map Tx, y, z=x+3y, y-2z. We have to check T is linear transformation, injective,…

Q: Calculate an explicit general solution for the ODE: dy dx = = 3y2e +1

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Q: Problems In each of Problems 1 through 4, determine the order of the given differential equation;…

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Q: Let S be the surface defined by p(x, y, z) = 0 where z = f(x,y); i.e. z is a function of the…

A: Answer given below.