Find the Fourier series for: 1 f(x) if – n

Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

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Q: +2)

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Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) = 4x + 2y + z subject to +…

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Q: 6. Clarify that f f :(0,1)→R defined by f(x)= 1 not uniformly continuous.

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Q: Suppose you have borrowed $50 from a foreign lending institution. The loan requires a payment of 6…

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Q: Consider the first-order differential equation: 2- + 3y = 0 1. dx a. Find the general solution by…

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Q: Given the following results of the height and weight of 1,000 men students : 3= 68", X-150 lbs,…

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Q: 4. Let V be a vector space over C and let T : V → V be a linear transformation. (a) State the…

A: Let V be a vector space and let T:V→V be a linear transformation. (a) To Define:  Eigenvectors of T.…

Q: Use Green's Theorem to evaluate the line integral (y - x)dx + (2x – y)dy for the given path. C: x =…

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Q: " IF R= 5B-2C find the value of the following r21 10 13 16 r31 11 #14 r22 #17 r32 12 15 r23 18

A: To find the elements of the matrix R .

Q: H.W p.564/ use Trapezoidal method and Simpsons" 1) Jo Jitx? dx n = 4 2) S e** dx n = 4 3) . V1 + x3…

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Q: Solve the value of x in system of equations. 2х + 4y - 2z %3D 0 Зx + 5y = 1 а. 2 — 5t b.s с. 3t — 1…

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Q: y = x and y=x+2 Revolve the area about the linex=3. Using cylindrical shell method, the volume of…

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Q: State whether the curl of the vector field shown below is on average positive, negative or…

A: To Explain: whether the curlF is positive, negative, or zero in all given four different regions.

Q: Problem 6. rotating D about the line x= -4? important for solving this problem?

A: We will use second theorem of Pappus According to it volume  of a solid generated by the revolving…

Q: Let g : B → C and h : B → C be functions. Suppose that go f = hof for every function f: A → B. Prove…

A: We have to prove that g(x) = h(x) for all x belongs to B.

Q: 2. Find and classify all the critical points of f (x, y) = 7x – 8y + 2xy – x² + y³. %3D (1

A: Given: 2.Let us consider the given curve equation, fx,y=7x-8y+2xy-x2+y3 -----1

Q: Solve the problem. 19) Mari drops a ball from a height of 18 meters and notices that on each bounce…

A: Given: Mari drops a ball from height of 18 meters and notices that each bounce the ball returns…

Q: Find the matrix A. [2 -2 1] A 1 13

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Q: az dz Suppose z is a function of r and y, and tan vy? +x2 3D "e6y. Solve for and

A: If x, y, z are related with the equation  fx,y,z=0then ∂z∂x=-∂f∂x∂f∂zand ∂z∂x=-∂f∂y∂f∂z

Q: By Variation of Parameters 1) xy' + (1 – x)y = xe* 2)(x²

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Q: Let a =2, B= 3 and y =6. Consider the following initial-value problem: (1) y'= 2 y+3 t^2, on (0,1)…

A: We have to find the error bound at t=0.1 using Euler's method.

Q: 3. u., = u, - sin x cos t, 1> 0 >r >0 В.С.: и(0, г) %3D 0, 1.C.: u(x, 0) = 0, u,(x. 0) = 0 %3D

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Q: Sol vet he Vol terra integral equationof first kind g(t) g(x-t)dt = 16 sin 4.æ.

A: Solution:-

Q: xdy – ydx = 3x²(x² + y²)dx

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Q: Find the solution set of x-4y +3z = 1. a. (1, 0, 0) b. (-2, 0, 1) c. (1 - 4s + 3t, s, t) d. (1 + 4s…

A: Solution set of the equation

Q: 8. Solve the system of equations (solve for x and y algebraically). Use another sheet of paper if…

A: 8)

Q: 23-24. The test scores of 20 students are listed below. Find the 34th percentile (2 pts) 36 45 49 53…

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Q: Give an example of a ring Zn and polynomials f, g ∈ Zn[x] such that f, g do not satisfy relation…

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Q: Simplify 6+j2.5 3+j4

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Q: Measure of minor arc SH= _____?

A: This is a problem related to circle. Let us find the measure of the minor arc SH in the next steps.

Q: Verify the Divergence Theorem by evaluating F.N ds as a surface integral and as a triple integral.…

A: Solution:-

Q: II. Consider the function g defined by 9(z, y) = cos (7z/T) logg(z Do as indicated. In what…

A: We know that the gradient of the function g contains the two vectors, one in the direction of x-axis…

Q: Assign the maximum amount to this cell that is allowable based on the supply and demand constraints.…

A: # as per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

Q: 1) Š(-1)"- n²2" n=1 b) Find the minimum number of terms of the series that we need to add in order…

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Q: 3. Let f(x) = x(x² + 1)/2. (a) Evaluate fo f(x)dx using integration by parts. (b) Evaluate f, f(x)dx…

A: Solution :-

Q: A particle is moving in space with position function RIt) = (cos(4t), sin(4t), 5- 3t. a) Determine…

A: We will find arc length and use it to parametrize the curve

Q: Solve the following differential equation : d?y + 2 cos x· 2 sin x dx2 dy +2 sin x dx dy + 2y cos x…

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Q: Let A = {a, b, c, d, e, f,g, h}, and let G and H be the following equivalence relations in A: %3D G…

A: Given that A = a , b , c , d , e , f , g , h . Also,  G and H are the following equivalence…

Q: Which of the following direction field will represent the differential equation y' = x + y Option 1…

A: Given:  y' = x+y

Q: Dave and Frank are graduating and are no longer going to be roommates, but they both want to keep…

A: Solution :-

Q: Solve the differential equation Ut Uz(0, t) Uz(2, t) Jo 0<r<1 x 1<x < 2 u(x, 0) You do not have to…

A: Given one dimensional heat equation ∂u∂t=5∂2u∂x2 Given conditions ux0,t=0, ux2,t=0 and ux,0=0…

Q: 3. Considering the following two-person game, what percentage of the time should Y play strategy Y1?…

A: Solution:

Q: Find the largest possible domain A, where all elements of A are non-negative and f: A → R, f(x) =…

A: Injective Function: A function f : X →Y is defined to be one-one (or injective), if the images of…

Q: Instruction: Create example problem about Area Region Bounded by Different curves. Write the…

A: Introduction: Different methods are used to calculate the area under the curve, with the…

Q: dy y cos x+sin y +y Solve the following 1. dx 0. %D sin x+x cos y+x differntail equation

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Q: Find each measurement indicated. Round your answers to the nearest tenth 1) Find BC 2) Find mLA B C…

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Q: Determine the general expression for the four roots of V3 – j . O V2cjs (- + 글세), k=D 0, 1, 2,3 O…

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: A dealer wishes to purchase a number of fans and sewing machines. He has only 5760 ETB to invest and…

A: The profit on Fan is ETB 22 and the profit on Sewing machine is ETB 18 Let the number of fan is ETB…