Use a cyclical alphabetic encrypting code that shifts the letters the stated number of positions to decode the encrypted message. 20 positions: ZLCYHX CH HYYX Submit Answer

Q: Question 4. Find L- Note: Here L-¹ stands for Inverse Laplace Transform s²-2s+2 and L−¹ s²-2s+1

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Q: 32. Find the area bounded by the parabolas y^2 = 4 -x and y^2 = 4 - 4x.

A: Solution:

Q: How many solutions are there to the equation x₁ + x₂ + x3 = 22, if each x, is a positive integer?…

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Q: Which of the following vectors is an element of the subspace W=span{(1,1,0),(0,1,1)}? (a) (2,0,-2)…

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Q: Show that the image of the hyperbola x² - y² = 1 is the transiscate p² = cos24.

A: Introduction: An hyperbola is another significant conic section. It has Cartesian as well as polar…

Q: Let F = Z, [x] (x³ + 3x + 2) and α=x+ (x+3x+. (x³+3x+2) €F. Find a³.

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Q: Activity 1: Analyze the following and construct a graph. (Apply what you had learned in your…

A: We have: Year 2010 2011 2012 2013 2014 2015 Cost 1.40 1.55 1.61 1.65 1.78 1.90

Q: Define a set X by • 4 EX If a E X, then -x-12 € X - x² € X Prove that every element of X is…

A: A Well defined collectipn of object is called set. Define a set X X = { 4, -16 } 4 belongs to X -4…

Q: : The region D in the x, y plane defined by the inequalities 0 ≤ y ≤4, √√4y-1² ≤x≤ Isas √√16-₁², can…

A: We have use relation between cartesian and polar co ordinate system  x= r cosθ  , y = r sinθAlso…

Q: =(2,3,1) Determine the vector equation and the Cartesian equation of line 1₁ passing by points A =…

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Q: Suppose A is a 2 x 2 real matrix with an eigenvalue X = 5 + 3i and corresponding eigenvector V…

A: Given the eigenvalue λ=5+3i and corresponding eigenvector v→=-1+ii

Q: Let F = (x, y², z²). (a.) Let E be bounded below by xy-plane and above by the sphere x2 + y² +2²= 1.…

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Q: Consider the initial value problem X₁ x(t) = = dx dt 2-4, ₁- = - || (a) Find the eigenvalues and…

A: Consider the initial value problem dxdt=2-442x,  x0=86   (a) To Find: The eigenvalues and…

Q: Number of voters 5 1st choice C 2nd choice 3rd choice 4th choice 5th choice اداه اوایان Points for…

A: The candidate points are given according to their places on each ballot. Give 1 for last place, 2…

Q: Axes of Ellipse The following equation defined an ellipse. 212-21 2+2x₂²: = 1 Find the vectors of…

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Q: Axis of Rotation (3d) The following matrix is the matrix of rotation. Find the axis of rotation.…

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Q: Exercise 8.5. (a) Is Z₁ Z6 isomorphic to Z24? (b) Is Z3 Z7 isomorphic to Z21? (c) Is Z10 Z20…

A: 8.5 (a) Is ℤ4⊕ℤ6 is isomorphic to ℤ24? (b) Is ℤ3⊕ℤ7 is isomorphic to ℤ21? (c) Is ℤ10⊕ℤ20 is…

Q: Let V and V' be vector spaces over a field F and let f: V→ V' be a linear map. Which of the…

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Q: Construct an intersection graph of this collection of sets. A1 = {0, 2, 4, 6}, A2 = {0, 1, 2, 3, 4},…

A: We have to construct an intersection graph of collection of sets. A1 = {0, 2, 4, 6}, A2 = {0, 1, 2,…

Q: Let X = R², x, y EX where x = (x₁, x2), y = (y₁.Y2) with the metric function (4 pts) (x, y) =…

A: This is a question of topology and metric space.

Q: a) z=cos² (3 xy) onde x=p+eº ey=p²-2e³8 b) z=4x³y onde x=3p²+0² e y=p²-40²

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Q: 16. A cube has a surface area of 150 m^2. Find the edge O 5m 09m 07m 3m 2m

A: To find the edge of the cube we will use the formula for surface area of the cube. If a cube has…

Q: Use the definition of Taylor series to find the first four nonzero terms of the Taylor series,…

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Q: Rewrite the following initial value problems for a non homogeneous 4th order differential equations…

A: Introduction: The order of a differential equation is revealed by the highest order of…

Q: The power series representation of e* is e(-2²)? 8W! n=0 n! What is the power series representation…

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Q: Suppose an automobile is moving with increasing velocity and that we measure the car's velocity…

A: We will find left Riemann sum and right Riemann sum  with 5 interval .

Q: Question 7 Problem Z: Interpolation, least squares, and finite difference Consider the following…

A: It is not clear the given options. Confused whether a negative sign exists in first option or not.

Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, the k3 in the…

A: Introduction: The Runge-Kutta method of order four is an advanced method to approximate an initial…

Q: x(t) = 1 + 2cos(t) y(t) = 2sin(t) t = [0, 2π] x(t) = -2- 7t y(t) = 6 + 4t te R x(t) = -2 + 5t y(t) =…

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Q: 2. Regarding DFT matrix W₁, prove that W 1 = W for N=4. N

A: Consider the given equation, WN-1=1NWNH for N=4 Where, WN is a DFT matrix. So, as we know that,…

Q: Exercise 8.2. (a) Suppose G₁ = (gi) for i = 1, 2, ..., m, |G₁| <∞. Prove that ged(|G₁|, |G₁|) = 1…

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Q: Calculate the line integral F(x, y, z)=2xy^2 i+(2yx^2 +2y)j     on a path from (0, 0, 0) to(3, 1, 1)

A: We need to compute the line integral: F(x,y,z)=2xy2i+(2yx2+2y)j on a path from the point: 0, 0, 0 to…

Q: (x² + 4)y" + xy = x + 2

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Q: I f(x,y) = sin 3(x+y) over the square 0≤x≤6.0sy≤ 6. R

A: We have to find the average value of function  f(x,y)= sin(3x+3y) Over the given square .

Q: Suppose an undamped forced spring mass system is driven by the equation d²x di² where the Fourier…

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Q: Find parametric equations for the line through the point (0, 1, 2) that is parallel to the plane x +…

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Q: Show directly from definitions that if f(x) and g(x) are real func- tions, bounded on [0,1], and so…

A: Given: fx and gx are real functions, bounded on [0, 1], and limx→0+fx=2 and limx→0+gx=3 We have to…

Q: Let: R² R³ be a linear map such that /(1,2)=(1,1,2), and /(2,1)=(2,2,1). Then which equalitie are…

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Q: Mr. Smith has a classroom with a row of 8 desks. Suppose that Jessy and Jenna are part Mr. Smith's…

A: Case 1 jessy and Jenna can be seated in 1 and 5 position case 2 jessy and Jenna can be seated in 2…

Q: Which equation represents the graph below? WEST

A: We have to determine the equation of the given graph. For this, we have to find the roots of the…

Q: Set A is the set of all natural numbers less than 30 that are divisible by 5.  Express the following…

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Q: State whether the following statement is true or false: The vectors u, v and w are linearly…

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Q: The total solar radiation H (in W/m²) on a particular surface during a clear day is given by: H (t)…

A: This is a problem of the application of calculus.

Q: 8-3) het asb. below as follows y , and the region I= by using .x²+y² = a ² 2. R= {(x₁y) ER² | x²₂y²s…

A: Given: R=x,y | x2+y2≤a2, x2a2+y2b2≥1, y≥0 To find, the integral I=∮Cy1+xdx+x1+ydy by using the…

Q: The plot of the vector field F is given below. Place the following line integrals in the correct…

A: For the given vector field F , to place the line integral in correct order :-

Q: 4. Let S be the subspace of P₂ defined by S = span{1-x, 1+x, 5, 1-x², 2x}. Find dim (S), and show…

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Q: Which of the following pairs of vectors are linearly independent?

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Q: Let V and V" be vector spaces over a field F and let /:VV be a linear map. Which of the following…

A: 1.   f is bijective if Ker f = 0 .This statement is False , consider the below example.…

Q: y 125 mm 125 mm 200 mm 200 mm 150 mm- 60 mm X

A: Given figure Area of the figure = Area of rectangle ABCE - ( Area of circle C + Area of triangle…

Q: Solve the following integral: where the region R is: =ff₁₂₁²- R Consider the change of variables: I…

A: The given integral is I=∬Re-x+y2dxdy where the region is R=x,y∈ℝ2:0≤y≤x,2≤x+y≤3. The given variables…