Compute the rotated area bounded by y = 2x, y = 8 about line x = 3 Compute the rotated area bounded by y = 6 - 2x, y = 3 + x, and y = 6-axis y-axis

Q: 15. Consider the directed graph below VI (a) Find the corresponding adjacent matrix A; (b) Find A².…

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Q: Let A = 1.1 0.3 -0.1 0.7 Is matrix A invertible? How do you know?

A: 4 QUESTION ANSWEr |A|=ad -bc  DetA not equal to zero so matrix inversion exists  Cofactor of A=…

Q: Use the superposition principle to generate a graph of each function. i) y = f(x) + g(x) ii) y =…

A: To use superposition principle to generate graph of each function.

Q: ²-6m+9=0 3m 3m +9 = 0 (m-3)-3(m-3)=0 (m-3) (m-3)=0 m-3 = 0 m = 3 m-3 = 0 3 = 3

A: For the given quadratic equation m2-6m+9=0  m=3,3

Q: Question 7. (10 Marks) If K is a subgroup of G and N is a normal subgroup of G, prove that KnN is a…

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Q: Using variation of parameters, solve the nonhomogeneous system X'= AX + g, where 1 A=[24] g=g(t) =…

A: Given that the nonhomogeneous system                      X'=AX+g, where                A=21-5-2,…

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Q: Mr. Johnson invested R25 000 at a rate of 9,95% p.a. compounded quarterly. How long will it take for…

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Q: 5. Consider the following mixed-integer linear program: Max 2x₁ + 3x₂ s.t. 4x₁ + 9x₂ = 36 7x₂ + 5x₂…

A: Part(a)

Q: In the general equation f(x)=asin [k(x-d)] +c the equation of the axis of the curve is determined by…

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Q: 2. Using Gauss-Seidel, compute a solution to the problem Ax=b where A is an nxm matrix of the form A…

A: Given: The matrix is A=2-100⋯-1-12-10⋯00-12-1⋯0⋱⋱⋱0⋯0-12-1-10⋯0-12. To find: The solution of Ax=b…

Q: i need the answer quickly Q6: Find the inverse F.T of the : Ans. f(t) = e(t-2) u(t) Ans. h(t) =…

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Q: I B 14- 13 -15- 127 11. F E Apply the sorted edges algorithm to the graph above. Give your answer as…

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Q: 4. Consider the initial value problem +(1-3u²)u₂ = 0, 1+z2¹ Find the equations of the…

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Q: Evaluate the indefinite integral as a power series. 00 C + Σ n = 0 1 t +⁹ dt What is the radius of…

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Q: Find inverse laplace transform of 1 (5+1) (5² +1) -

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Q: Use modular arithmetic (not using induction) to show that 11n3+31n is divisible by 6 for all n∈N

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Q: To approximate the integral of a function w(x) on [-1, 1] use the formula = [₁, w(t)}dt ≈ w(a) +…

A: Given: The formula Iw=∫-11wtdt≈wa+w-a and where 0<a≤1. The given formula is for approximation of…

Q: We are looking for a solution of this function : f ∶ R2 → R (x, y) → x2+ y2− 4x + 4 with…

A: Given, fx,y=x2+y2-4x+4gx,y=2x-y2-1 Now, fxx,y=2x-4fyx,y=2ygxx,y=2gyx,y=-2y Now, fxx,y=02x-4=0x=2…

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Q: Solve y (kx √√3) dx + (√3 − kx) dy O a. 2kx + 4√/31n|kx √3- O b. 2kx + 4√3ln|kx c. 2kx + 4√3 ln | kx…

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Q: 1. 2. 3. 4. Write the system as Ax = b and form the augmented matrix (Alb) ) Calculate det(A) and…

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Q: Q6. Using Trapezoidal Rule, evaluate the integral ſ³(3x² + 2x + 5) dx. Use Ax = 0.25.

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Q: Consider the system defined by: O a. O b. ن 8-618-00 2 0x₂ 3 The characteristic equation can be…

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Q: For the Linear Congruential method, assume the following parameters: X=23,947, a=2,902, c = 15,853…

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Q: The table below shows the number of people, p, and suitcases, s, on 8 airplanes Linear Regression…

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Q: Suppose that A = a= b [0 a has eigenvalues -3 and 3. What are the values of a and b?

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Q: Write a [0.1]X[0.1] mapping to the tire surface .give a example.

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Q: Let (1,2) be a point of R². Let R be the rotation through an angle of 1/4. What are the coordinates…

A: As per the guidelines I am answering only one question Remember Rotation matrix by an angle θ is…

Q: (3x € X: (Vy € Y : E(x, y))) = \x € X : (³y €Y : ¬E(x, y)) ¬(Vx € X : (³ € Y : E(x, y))) = (3x € X :…

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Q: Let X, Y be Banach spaces and U be an open subset of X. +1)-times continuously differentiable…

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Q: Find the Laplacian of U = x³y²e²x at point (1,-1, 1). O O O O 46.42 24.46 42.26 26.24

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Q: 10 times as many as__________hundreds is 60 hundreds or _________thousands

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Q: Q4. Find the Fourier sine series for the function: f(x)= 0 for 0<x< 1/1 for 1/1/1<x<

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Q: [6 pts] Find a matrix A that has eigenvalues A₁ = 1 and ₂ = 4 and corresponding eigenvectors -0. and…

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Q: Let R be the shaded region bounded between the curves y = x^1/3 (equivalently y^3= x) and 4y= x…

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Q: 9. For all C, D CY and any function f : X → Y, determine whether the following is true: (a) f¹[CUD]…

A: Introduction: A function is just a relation that relates to sets in a certain way. The set from…

Q: What if a1=16

A: Same procedure as before.

Q: Find the solution to the recurrence relation an = an 5an-1 + 6an-2 with initial terms ao = 3 and a₁…

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Q: 29. Consider the function f: R²R: (x,y) → f(x, y) = g( Determine the gradient of f. 1 1 2x - 2y g(1…

A: please see the STEP 2 for Details

Q: zy a + For this actvity, find the matrix representation [7] for the linear transformation T: R³-R²…

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