H.w: Find the Fourier series for the following functions: and The function is odd or even? -T≤x≤0 0≤x≤ π 1- f(x) = 1 + 2x x 2x

Q: Let G be the solid in the first octant bounded by the planes x = y, y = z, z = 0 and x = 1. Set up…

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: a. Find whether the following graph is bipartite or not. Explain your answer by your own. 7 187 1146…

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Q: 5. Given that f(t) = sint, t=0, 0≤t</2 t≥π/2 T find L{f(t)}.

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Q: 15:00 liverpool.mobius.cloud a. Find the Laplace transform of f(t) = t5 e6t (using the tables given…

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Q: In the graph below, determine whether the follow- ing walks are trails, paths, closed walks,…

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Q: A smooth curve C is defined by some vector function R(t) with R (-) = (7,0,−2) and R′(t) = (2, √5…

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Q: Show that lim (x,y) → (0,0) 12 √16x +9y¹ 4x²+3y does not exist. Please show a complete solution.

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Q: Let G be the solid in the first octant bounded by the planes x = y ₁ Y = 2,2=0 and x = 1. Set up an…

A: Given: Let us consider the given first octant bounded by the planes, x=y, y=z, z=0, and x=1 Let's…

Q: IV. Fill in the blank to make each statement true. Use correct notations. 2. If f(x) = 1 – log5 x,…

A: Let f:A-B be a function. Inverse of f is defined by a function g:B-A such that f•g=IB and g•f=IA . A…

Q: For a sphere parameterized using the spherical coordinates and , describe in words the part of the…

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Q: 14. Which of the following integrals equals the flux of the vector field F(x, y, z) = yj - zk across…

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Q: Show that lim (x,y)→(0,0) 16x4+9y12 4x²+3y6 does not exist.

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Q: Given T→(π)=⟨0,−4/5,3/5⟩ , find an original v→(t) function that looks like a circular spiral or…

A: Given, Tπ=0,-45,35 The Original spiral function is to be determined.

Q: Sketch the area bounded by x^2 + 2y = 4 and x + y + 2 = 0 on the image below and determine the…

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Q: Does there exist an oriented simple closed curvey in the plane of length 2π such that fx dy-y dx >…

A: Given: A simple closed curve γ in the plane of length 2π To check: The existence of an oriented…

Q: ssume that a matrix A is diagonalizable and we have calculated the diagonalization of A, i.e. A =…

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Q: Given f''(x) = 3x + 4 and f'(-2) Find f'(x) and find f(1) = = - 1 and f(-2) = 3.

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Q: 2(8,0±0,5)² (2,0±0,5)+(6,0±1,0)

A: Let us solve the given problem in the next step.

Q: 1. Find the y-intercept of a quadratic function containing the following points: (2,5), (1,0), and…

A: We have to find y-intercept of the quadratic function containing (2,5),(1,0), (-2,-3) Let , y = f(x)…

Q: 77541 Solve the following LPP by Dual Simplex method. Min +255x1 +681 s.t. x1 + x2 ≥ 2 4x1 + x2 ≥ 4…

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Q: fxx = || f(x, y) = 5x4y6x4y5 - 21

A: For the given function f(x,y)=5x4y6-x4y5-21      has  fxx=12x2y5(5y-1)

Q: Given f''(x) = = (5) Find f = - - 16 sin(4x) and f'(0) = 6 and f(0) = = - 5.

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Q: Set up an iterated triple integral equal to √3-1² 2²+² 3 I = 1-[²√²² ² 2-√√4-x²-y² using 1.…

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

Q: A manufacturer has determined that the marginal profit from the production and sale of x coffee…

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Q: Q/ Evaluate the following integrals. (2²-2z+1) cosh z dz

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Q: Define the force field F(x, y, z) = . a. Find the divergence and curl of F. b. Let C be the directed…

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Q: Find the general solution to the system of linear differential equations. The independent variable…

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Q: onsider the smooth parametric curve C defined by the equations Jx = t t (t²-3) Y = 3 (t² − 3)' here…

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Q: A D A D A 5 D B F B F 8 11 6 E 5 E Model G The correct spanning tree is given by: 12 B F 5 C G C 6 8…

A: We have to find the spanning tree of the given network model.

Q: Let S be the surface defined by the vector function น V 2 2 R(u, v) , ue [0, 2], v e[− 1, 1]. Find…

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Q: Σ ∞ n=1 1+4¹+1 6⁰ is equal to

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Q: Let C = C₁ U C₂ U C3, where C₁ is the line segment from (-1, −1) to (0, 0), C₂ is the line segment…

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Q: Let S be the surfaced defined by the vector function R(u, v) = , u € [0, 2], v € [-1,1]. a. Find an…

A: Introduction: For a given surface, one can determine the equation of tangent plane to that surface.…

Q: 7. Solve for cot - 2 if cos(20) = 4 5 and P(0) E QIV.

A: Cos (2 θ) = -4/5  - 1 + 2 Cos2 θ = -4/5 2 Cos2 θ = 1 - 4/5 = 1/5 Cos2 θ = 1/10 Cos θ = 1/√10 2 Cos2…

Q: 4. a) Prove that i) V=I ii) fx+nh = ! I+A 1+A (1) AK fx. = 4k=0

A: Introduction: In numerical analysis, there are many different operators that are used. These…

Q: 4) Come up with two vector functions r₁(t) and r₂(t) that are non-linear and satisfy the following:…

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Q: Define the force field Ē (x, y, z) = . a. Find the divergence and curl of F. b. Let C be the…

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Q: Example 2.5.14 Find the radius of convergence for the series f(x)=(-1)"+1) -Σ(-1²

A: Introduction: In power series representation, the radius of convergence is very significant. The…

Q: For each matrix A and vector b given below, we will consider the system Ax = b. Find three distinct…

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Q: Could you please write the work or just make it more clear?

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Q: Prove that that any Sume with TH Convex Polyhedron has two faces of edges number

A: Let F be the face with greatest number of edges ,suppose n. There will be exactly 'n' other polygons…

Q: Suppose the control problem is Maximize [(y-²)dt 0 Subject to y'=u and y(0) 10, y(1) = a = The…

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Q: Consider the polar curves C₁ and C2, where: C₁ is the upper half of the circle r = cos 0. C2 is the…

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Q: Solve the all-pairs shortest-path problem along with the time complexity for the digraph with the…

A: Given the following weight matrix, 0 2 inf 1 8 6 0 3 2 inf inf inf 0 4 inf inf inf 2 0 3…

Q: Define f (x,y) = 3y √1+x² a. Find the rate of change of f at the point (-1, 1) along the direction .…

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Q: Suppose is the surface generated by revolving the curve y = 4(x² - 1) about the y-axis. 1. Determine…

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Q: 2. Suppose you start a business making and selling earrings. Your cost to make each pair of earrings…

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

Q: Use the Adams-Bashforth-Moulton method to approximate y(1.0), where y(x) is the solution of the…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: b) Find the equation of the plane containing lines ₁ : x = 2+5t, y = 4+2t, z = -t and l₂: x=2-t₁y =…

A: We have to find the equation of the plane containing lines l1 : x=2+5t, y=4+2t, z=-t and l2 : x=2-t,…