Given data points: (-2, 1), (-1, 2), (0,1), (1,2), (2,1) Calculate the error vector and the error of approximation.

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A: Given data÷ fx=10sinx-5sin2x Interval : 0,π   From part a) the value of favg=20π   fc is given by…

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A: According to bartleby guidelines when student post more than one question then expert must have to…

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A: Topic:- limits and calculus

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A: Let's find laplace of given function.

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A: Given :∫05x2125+125x+e6dx∫01x1+x23dx∫11+x2dx

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A: The given equation is;  ds/dt = cos (t/2).

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A: The objective is to find s(h).

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A: Solution of given question is written in below steps.

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A: Given.

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A: Solve the integral

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A: Given

Q: I. Given: 3x - y - 2z = 1 -x + 6y -3z = 0 -2x-3y + 6z = 6

A: I am attaching image so that you understand each and every step.

Q: 1. | 37 2 T 2 cos² 4x dx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: Given Point P1, 1, 1 and surface x2+2y2+3z2=1

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Q: 5. Evaluate each of the following inte x² (53+1)3 (5 (a) da

A: We have to find the solution As per guidelines we have to solve one question Please repost other…

Q: 4. Use the Fundamental Theorem of Calculus to evaluate [(-3) -

A: The objective is to find the integral using fundamental theorm.

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Q: Problem 17. Suppose that F(x) = = [₁,²50 Find F"(2). f(t) dt, where f(t) = 1 ² √² + 1² VT U - du.

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Q: Can you please specfically tell me what the two intercepts are.

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A: topic:- function

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A: Let's evaluate given integral.

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A: Please refer to the image below

Q: lim X→∞0 lim x118 √11+4x² 2 + 11x √11+ 4x² 2 + 11x = =

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . .…

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