Q1: Determine X(z) for each of the following and write anddraw ROC: a) x(n) = [ 3 0 22 - 12 6. 10 1 0 4 4

Q: The average value, f, of a function, f, at points of the space region N is defined as

A: Given, the average  value of f¯, of a function f at points of the region Ω is defined as…

Q: Question 2: Consider the nonlinear system -x1 + 10x2 – cos(x1 – x2) – 2 = 0 10x, + x2 + sin (x, +…

A: Given: Let us consider the given nonlinear systems, -x1+10x2-cosx1-x2-2=010x1+x2+sinx1+x2-10

Q: Write an equivalent integrals for the function f(x,y)=D4x+y for the following base (2,4) y= 2x y

A: Let us considre the function z=f(x,y) the integral under the region R  xy-plane is obtained as…

Q: Consider a Ctosed Kectangutar boxwith a Hw.4 squar bare If base side is measured with evror at and…

A: Let the side of square base is x and and height is y. given that error in x is 2% and error in…

Q: Sketch the following: x² y x – 1

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Q: Q) find Fourier series on [0,21] (3) ƒ(x)=cos x = COS X

A: find the fourier series on0,2π fx=cosx fourier series is given by…

Q: Is it possible for one of o V (A0) and (o V ) A (6 v e) to be true and the other false? Yes, one of…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Indicate all integer solutions, congruent to 7, of the equation 2" = y. What if we replace 7 and 2…

A: Solution :       2x = y (mod 7)     Now if x = 0,then 20 = 1 = y (mod 7)     So, (0,1) is one…

Q: What is 205 divided by 3 and also what is 400 divided by 6

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Q: Consider the closed heart curve y(t) = |t|^3/4 *(sin(t),cos(t)) with -pi st s Tt below. (a) Write a…

A: As per your query the solution of part b is given in the next step.

Q: x' + 4x + 3y = 0 y' + 3x + 4y = 2e* x(0) = y(0) = 0.

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Q: Find the following antiderivatives. 49 – 2y dy 49 +1 (a)

A: Introduction: Evaluation of anti derivative is the main aim of indefinite integral. An anti…

Q: find residue

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Q: 2) Determine if F is a conservative vector field. If so, find a function f such that F = Vf. b. F=…

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Q: A bicycle's gear ratio is the number of times the freewheel turns for every one turn of the…

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Q: QI. For the periodic function: ++1 -1<50 S(1) = {i Determine: 1. Isit Odd, Even, or neither? 2. The…

A: As per the rule we are authorized to answer only 3 parts . so, providing the answer for first 3…

Q: Evaluate the integral below by changing to spherical coordinates. 81 - y V 81 – x2 - y2 (x²z + y?z +…

A: We have to solve the given intregal

Q: B. Let S be the part of the sphere r +y + z2 = 4 located above the plane z 0, oriented at the point…

A: Flux of a vector valued function can be calculated easily using divergence theorem if S is a closed…

Q: Define T: R2R? by T(x)= Ax. Find a basis B for R with the property that [T]g is diagonal. 2 -5 A =…

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Q: Suppose A is a symmetric nxn matrix and B is any nxm matrix Show that B'AB, B'B, and BB' are…

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Q: Compute the normal vector at (3, 3) and use it to estimate the area of the small patch of the…

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Q: Find the volume of the solid generated by revolving the region bounded by y =4x and the lines y=4/3…

A: Introduction: The formula of the disk method is given by, V=π∫ab(f(x))2dx Where f is the function of…

Q: Find T(0)

A: Introduction: The tangent vector of a vector valued function rt is represented as r't. The necessary…

Q: 3. Sketch the region R bounded by y = the x – axis and x = 1. Find the volume of the solid formed by…

A: This is a problem of the volume of rotation.

Q: Find the first two iteration of Jacobi method for the following linear system with x=(0,0,0) 10x, -…

A: Given linear system 10x1-x2=8-x1+10x2-2x3=5-2x2+10x3=8

Q: 3. Find the solution of the following differential equation by Laplace transform with initial…

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Q: 1. Solve the following linear congruence using a systematic method: 167x = 241 (mod 199) Present…

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Q: Use cylindrical coordinates. Find the mass and center of mass of the S solid bounded by the…

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Q: Without proving anything, determine if the following statements are true or false. For any false…

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Q: x^3-4x+1=0. The above cubic equation has three real roots x1, x2 and x3 .   Use transformation…

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Q: Q3/ The value of k such that P2 (1) = 2.8, k 4 1 2 Is

A: P2(x)=(x-k)(x-4)(2-k)(2-4)×0+(x-2)(x-4)(k-2)(k-4)×1+(x-2)(x-k)(4-2)(4-k)×22.8=(1-2)(1-4)(k-2)(k-4)×1…

Q: . Let S be the part of the sphere r+y? + 22 =4 located above the plane z 0, oriented at the point…

A: Flux of a vector valued function over a surface S is given by Flux=∫∫S F→ dS Here we can calculate…

Q: Q1/ Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75)…

A: Here              x0=-0.75, x1=-0.50, x2=-0.25, x3=0.and y0=-0.07181, y1=-0.02475, y2=0.33494,…

Q: II) By using the limit definition of derivative, prove the identity rf(x)8' da f'(x)8 %3D

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Q: (c) Consider the double integral || xy dA where D is bounded by the x-axis and the upper half…

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Q: Suppose f has the following contour map. C-12 C40 Let P be a point on the level curvec = 12. In what…

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Q: Zmax = 8x1 Subject to: 3 X1 + X2 s 45 1 < 20 Xns

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Q: 3 2 A = find the general solution of 4 j' = Aỹ + g, § =

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Q: Show that f(z)dr: S(#2-2) +4f(r2i-1) + f(#2)]- an"(c.)} m-1 h4 (0) +2f(2) + 4f(*2-1) + f(*) I80(6 -…

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Q: Integrate both sides dy = -dx

A: the given integral equation is                             ∫1y2dy=∫1xdx

Q: Find parametric equations for the line. (Use the parameter t.) The line through (-8, 4, 7) and…

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Q: Use Integration by partial fractions 8x2 + 8x + 2 (4x2 + 1)

A: We have to find the following integral ;          I = ∫8x2+8x+24x2+1dx

Q: Find a Taylor series expansion around x = 2 for f(x) = ln x

A: To find the Taylor series expansion for f(x)=ln(x) around x=2 is given by :-

Q: 1. Consider the separable differential equation y' = x²y³. a. Plot the slope field of this…

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Q: Find the canonical prime factorization of this using Fermat’s Method and solve for the Number of…

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Q: ) Find the antiderivative of each function. 4x3/2 -1 (a) f(2) (b) g(x) = 3e" + sec? æ (c) h(x) = 8…

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Q: : The following data come from a table that was mea- sured with high precision. Use the best…

A: Given, Table with high precision. To find: Value of y at x=3.5

Q: Find the canonical prime factorization of this using Fermat’s Method and solve for the Number of…

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Q: 4 Newten's method to find all Use in tersecticns of y= x² and y= z' = 2². The emer in the es…

A: Given curves are y=x2   and   y=2x For point of intersection,  x2 =2x Now, we have to find that…

Q: Where is the function f(x, y) = e' arctan (VI+In(x+y)

A: In this question, the concept of continuity is applied. Given function is fx,y=etan-11+lnx+y