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Q: -{1 f(x) -2<x<0 0<x<2 Ans. Fourer series...

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: 2. Evaluate: √₁² √2 - x + x da −

A: We know that the modulus function fx=x is defined as x=-x,x&lt;0xx≥0. If we take x=-2, then f-2=2…

Q: Find the following in the form of x + iy 12 1. (1 + i)¹²

A: We have given that, 1 + i12 We need to convert it into in the form x + iy. Here , z = 1 + i in first…

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Given z=4-x2-y2, z=-1

Q: 2. A pay phone at a railroad station charges $0.55 for the first five minutes (or part of) and $0.25…

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Q: Every Cauchy sequence in the Euclidean metric space R" with n a positive integer is convergent. O…

A: Cauchy sequence and convergence

Q: You are given a system A * v = 0, where A is a known matrix of size M x N (with M >= N), v is an…

A: Please see the attachment

Q: A ball is dropped from a height of 10

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Q: H.W: Use the chain rule to find the derivative of w= x² + y² with dw respect to t (d). with x = cost…

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Q: A particle is moving along the path given by R(t) = (sin(ln t), cos(ln t), √√3 lnt). (a)…

A: Introduction: The formula of arc-length of the polar curve from a to b is given by,…

Q: Suppose T: R¹4 → R¹4 is a linear transformation and the rank of T is 10. 2. (a) Determine whether T…

A: The solution is given as

Q: T Consider the following function: y=-4 cos [5x+ 3 eminders: ive exact values for all questions. No…

A: Note-  Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 1- Q2] Classify the following D.E to: order, degree, homogeneous, and linear: dy -2y=x 3 dx dx

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Q: A tank has the shape of an inverted right circular cone of depth 5 meters and radius 2 meters. This…

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Q: H.W: Use the chain rule to find the derivative of w= x² + y² with dw respect to t (dr), with x =…

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Q: 7.Find xy of z = 2x³-5xy²

A: ∂2z∂x∂y of z = 2x3-5xy2 This means Partial differentiation of z with respect to y and then with…

Q: Q4: A vertical steel plate of dimensions 3cm x 3cmamd negligible thickness is in steady state…

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Q: of of H.W: Find and dx dy 1. f(x, y) = (xy-1)² 3. f(x, y) = (x²-1)(y+2) for the functions: 2. f(x,…

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Q: Q6: Find the Fourier coefficients and Fourier series of the function f(x) defined by THAXNO f(x) =…

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Q: Problem 1. Suppose f: R → R is a continuous function which can be uniformly approximated by…

A: Given: A function f: R → R is a continuous function that can be uniformly approximated by…

Q: 39. Using this piecewise function, calculate the cost of someone who used 1,280.25 minutes last…

A: Here given function as fx=45when x≤80045+0.25x-800when x&gt;800 and x is an…

Q: let x be an infinite set and let ta be a topology on x in which all infinite subsets of x are open…

A: Given that X be an infinite set and let τ be a topology on X in which all infinite subsets of X are…

Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

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Q: Practice Question 8: Consider the series Σα-Σ 2" 3" +1 n=1 (a) Show that the series a, converges by…

A: Given: ∑n=1∞an=∑n=1∞2n3n+1 To show: (a) ∑n=1∞an is convergent by comparing it with an appropriate…

Q: determine the value of s, v, and a using determinant method: s+2v+2a=4 3s-v+4a=25 3s+2v-a=-4

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESU 4. Lim (2 4 Arctanx.

A: Solution:-

Q: 3. Let R be the region below bounded by the parabola y = 4 - ²2 and the lines 3x - 2y + 3 = 0 and y…

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Q: T et dt, find F(1) and F'(x). ez 1. If F(x) =

A: Given that                        F(x)=∫exeet2dt To answer the given question we shall use the…

Q: fec to f, i.e one car

A: Now let K⊆R be a compact set. We have to prove that pn→f uniformly on K.

Q: 3. Let n be a positive integer and let k be an integer satisfying 0 ≤ k < n. (a) Explain what the…

A: Solution : a) Stirling number counts, For non negative integers k and n, S(n, k) is  equal to number…

Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ — sin 2x + 1,…

A: We have to use integral to find work done

Q: Use the following information to answer the next two questions. At a local restaurant, the following…

A: AS PER GUIDELINES I AM ANSWERING FIRST 2 QUESTIONS. 1. Consider the given table, Beverage Pastry…

Q: List the members of these sets, x | x is the square of an integer and x < 100.

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Q: 4. Find the length of the curve defined by Ả(t) = (3t+1, 4t³/2, 4 – 3t²) from the point (1,0, 4) to…

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Q: 5. Find the distance from the pole to the vertices, and then find the equation of the hyperbola in…

A: To find: Vertices of the curve and the equation in rectangular coordinates of the following polar…

Q: Evaluate the geometric series and compute the sum if convergent. 5 −5+ _5+3/2 4 - +

A: Solution

Q: f f(5, 10) = 55. Which of the following is inaccurate? f(4, 8) = 36 f(3, 3) = 12 f(10, 10) = 110 2.…

A: Introduction: A characteristic is a courting among a set of inputs that every have one output. A…

Q: Evaluate: 0 V|2 − r|+dr -2

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: II. Solve the following problems. Enclose final answer. 4 4. Given z = Find az/ax x+y "

A: Solution:-

Q: By 28(1 + i√3) solve all of its z-values if it is raised to 14.

A: Solution : To find, 28(1+i3)14 =56eiπ3+2nπ0.25 where, n∈ℤ n=0,1,2,3 =2.74eiπ12+nπ2

Q: Determine the equation of the radical function represented by the graph. +

A: The given graph as

Q: In a population of 200,000 people, 60,000 are infected with a virus. After a person becomes infected…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: OLee's family is hosting an end-of-summer burger bash. His parents buy a family-size package of…

A: Given- Lee's family is hosting an end-of-summer burger bash. His parents buy a family-size package…

Q: 10. (a) Find two lines that are parallel to the plane (x, y, z) = (1, 0, 2) +t₁ (1, 2, 3) + t₂(4, 5,…

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Q: 1) -3s2-12s-8] L-1 의 (s+2)³

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Q: Prove: if limx→a f(x) = L, and c = R, then lim cf(x) = cL. D4-Z

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Q: The relationship between marketing expenditures (x) and sales (y) is given by the following formula,…

A: Given,           y=7x-0.25x2+6

Q: 5. (D³ - 2D+4)y=0; y = -2, Dy= 8, D²y = 0, when x = 0

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Q: H.W: Estimate the root of the equation for the following equation usind Newton- Raphson method: 11…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…