Find the Fourier series of the function f(x) = 2L – on the interval [-L, L].

Q: find tan(-x) if cotx=(pi/2"-x)=-1.84

A: This is the problem of counting and identity.

Q: ral L9/x? + y') dxdy.

A: Solution :-

Q: A credit card account had a $261 balance on March 5. A purchase of $196 was made on March 12, and a…

A: Solution

Q: Select all the equations that have a solution of %3D O 22 4 %3D %3D 49 %3D O 23 343 O 2 =

A: A real number x0 is a solution of the equation fx=0 if and only if it satisfies the equation i.e.,…

Q: If A = yz(^2) i - 3xz(^2) j + 2xyz k , B = 3x i + 4z j - xy k and ∅= xyz , find (a) Ax (∇∅), (b)…

A: Since you posted a question with multiple sub-parts, we will solve first three sub-parts for you. To…

Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper cone z2 = 4x2…

A: We have to find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper…

Q: 2. Prove that if a = b( mod r) and c = d( mod r) then a – c= b – d( mod r)

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Q: Determine the null input answer of a described system by the equation: y[n] + 4y[n -2] = 2x[n]. The…

A: The solution is given below

Q: Find a basis for the nullspace of A.

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

Q: 1. Show that the system of linear equations has infinitely many solutions. Express your answer in…

A: Solution

Q: By fixed-Point Iteration, evaluate f(x) =x -x-estarting at x1 = 0. %3D

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

Q: nd and classify the eguilibriam solutions to: dy -y° - ly dx 2

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Q: A square matrix is half-magic if the sum of the numbers in each row and column is the same. Find a…

A: Solution :-

Q: A cosine function is a reflection of its parent function over the x-axis. The amplitude of the…

A: We will take a general cosine function and then compare values to get all coefficients

Q: How many different committees can be formed from 11 teachers and 42 students if the committee…

A: Permuation: The arrangement of objects or numbers is called a permutation. Here, the order of the…

Q: a) Use the Taylor theorem for the function U(x, t) = te*t with the step size Ax (t, is held…

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Q: Compute for the mean, the variance and standard deviation of this frequency distribution. Score…

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Q: Reduce to the form x + yi : 2 logsinh (-i+2) 40ežmi

A: We have to reduce following expression to the form x+yi :          logsinh-i+240e23πi Pre-requisite…

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (8, -3)

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Q: Find the equation of the tangent plane and normal line to the surface at the given point. at the…

A: This is the problem of vector analysis.

Q: A student's grades for a math course are given below. 1. Percentage of Final Grade Student Grade…

A: Solution

Q: Let N(x) be the statement “ x has visited Palawan.” Where the domain for domain consists of the…

A: N(x) : x has visited Palawan Domain : students in your school

Q: Find the interval and radius of convergence for the following power series: (-1)"|z-3" n=1

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Q: find Fourier series [o, 2w] an <x<π fcx) = TくXく 2w

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Q: 4. Spline Interpolation (a) Derive the linear system corresponding to the natural cubic spline…

A: Given That x 0 1 2 y 3 -2 1 (a) To drive the linear system corresponding to the natural…

Q: For the following exercises, determine the slope of the tangent line, then find the equation of the…

A: Here given that x=3sint,   y=3cost,    t=π4 We have to find the slope of the tangent line at t=π4…

Q: Calculate fw(-1, 2, 0, – 1) where f(x, y, z, w) = xy²z – xu? – e2²-y²–2²+2w=

A: Given that fx,y,z,w=xy2z−xw2−e2x2−y2−z2+2w2 To calculate: fw−1,2,0,−1

Q: United Metal, Inc., produces alloys B1 (special brass) and B2 (yellow tombac). B1 contains 50%…

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Q: Working directly from the e-N definition of convergence (without using any rules for limits), prove…

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Q: A region is in the middle of a drought. The table shows the number of homes without water for each…

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Q: Find the difference approximations of the solution y(x) of the boundary value problem y" +…

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Q: For problems 1 - 4 give the vector for the set of points. Find its magnitude and determine if the…

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

Q: For the subspace below, (a) find a basis for the subspace, and (b) state the dimension. {(a, b, c,…

A: Basis: For a vector space V, if we have a set B such that it is linearly independent and every…

Q: Show that if a and b are integers and m and n are positive integers such that n|m, then If a = b(mod…

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Q: 2.f (t) = cosh wt sin wt

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Q: rectangular form both in exact value and approximate value. . Graph the roots in an Argand diagram…

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Q: The set 1 [O 01 B : is a basis of the space of upper-triangular 2 x 2 matrices. -3 -27 Find the…

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Q: 10. What is the general solution of the nonhomogeneous differential equation (D² – D– 2)y = 6x +…

A: Given differential equation is D2 -D-2 y = 6x +6e-x  This is non homogeneous differential equation.…

Q: Find the vector x determined by the given coordinate vector [x]R and the given basis B. - 1 - 4 B=…

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Q: f F = x 2 yz, G = xy-3z 2 , find (a) ∇[(∇F). (∇G)] (b) ∇- [(∇F)x(∇G)] , (c)∇x [(∇F)x(∇G)] .

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Q: f(x) = xe* - sin²x Direct Search Method @ x, = 0.5; x2 = 1

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

Q: A company manufactures two products: Product A and Product B. Product A is produced at quantity q1…

A:

Q: EXAMPLE 3 Evaluate fE Vx + z'dv, where E is the region bounded by the paraboloid y = x + z and the…

A: To evaluate the below triple integral. ∫∫∫Ex2+z2dV Here E is the region bounded by the paraboloid…

Q: 4. Evaluate where C is a simple clos upper are of the unit cir

A: Greens theorem is used

Q: (a) Sketch the graph. Use correct line style. (b) Indicate the solution set region of the system of…

A: as per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…

Q: A business includes a monthly promotion funding of $154000. The commerce division calculates that if…

A: Given,z =f(x, y)= 340x0.9y0.9  subjected to x+y = 154000 let, g(x, y) = x+y-154000=0

Q: Question 1. Given a metric space . (a) If x, y E X and p(x, y) 0, prove that x = = y. (b) Prove…

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Q: Find the moment of inertia of the area bounded by the curve x2=4y, the line y=1 and the y-axis on…

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Q: For which of the following does there exist a graph having the given properties? Select one: a full…

A: To determine: The graph that exists: (a.) A full binary tree with all 31 terminal vertices at level…

Q: let f [o2]→Rbe afunction if x<1 fex)= Is f Riemaninteglable? 下くx か

A: