1. A curve passes through the points (1, 0.2), (2, 0.7), (3, 1), (4, 1.3), (5, 1.5), (6, 1.7), (7, 1.9), (8, 2.1), (9, 2.3). Using Weddle's rule, estimate the volume generated by revolving the area between the curve x-axis and the ordinates x=1 and x=9 about the x-axis

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Q: 27. Find the Inverse Laplace Transform of the following: 150 d. (s? + 2s + 5)(s? – 4s + 8)

A: As per our guidelines we are supposed to answer only one question. and rest can be reposted.

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A: This is a problem of vector calculus.

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Q: (3) §4.4, Suppose b1, , bn in a vector space V are linearly independent. Suppose span{b1, , bn} ... ...

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A: This is the problem of Reiman Sum.

Q: Use the Comparison Test to determine if the series 5n – cos 2n n + n2 + 1 T=1 converges or diverges.

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Q: Solve the initial value problem using the Laplace transform. y' = 9y + 6, y(0) = 1 y(t)

A: We solve the given IVP  y'=9y+6.....(1) y(0)=1 by using Laplace transform.  

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A: We have to find the solution of given initial value problem.

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Q: c) Find a subset of S that is a basis for W. d) Express v= as a linear combination of the basis obta...

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Q: Solve the given differential equation by finding, as in Example 4 in Section 2.4, an appropriate int...

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Q: cos(n²)+sin(n³) an} be the sequence given by an : he limit of the sequence, or show that it diverges...

A: Convergence of the sequence

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A: Given: The system of equations, a+2b+c+d=1 a-af-b+c-cf+3d-df+ef2+ef-2e-f2=-1 2a+4b+3c+3d-f=3 2b-bf+d...

Q: 1. Solve the following linear systems using Cramer's Rule and Gauss Elimination Method. 0.5x + 3.5y ...

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

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A: Please find attachment for the details solution

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Q: Determine the solution of the initial value problem 1. 5y" + y' =-6x, 2. y" + 4y' + 5y = 35e4x, y(0)...

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Q: 5.6 Locate the first nontrivial root of sin(x) =x? where x is in radians. Use a graphical technique ...

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Q: 4x' +2x? - 5 8. lim4x² +1)2x+5) II

A: Solution:-

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Q: 2 3 4 Let vi = 1 V2 = -2 V3 = 5, and E u = V2 3 Determine if u is in Col E, the column space of E. T...

A: We have to determine u is in Col.E, the column space of E.

Q: 27. Find the Inverse Laplace Transform of the following: 150 d. (s? + 2s + 5)(s? – 4s + 8)

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A: This is a problem of linear transformation.

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Q: Finally, we are going to practice the last step. Solving a differential equation using the Laplace t...

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