Find the volume enclosed by the cylinder y² + z² x+y = 4 and z 2x = = 10. O O 32n 40π 44T 36π - - 4 and the planes

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A: Given ODE is Taking Laplace transform both side we get where to get below expression we write first…

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A: we use variable separable method to solve this differential equation.

Q: 9. Give a combinatorial proof for the identity + n = (n+¹). 1+2+3+ ... +n

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A: For a linear operator T on a normed vector space V with norm ||·||, the operator norm ||T|| is…

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A: Solution is uploaded in next step

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A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

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Q: MATH511: LINEAR ALGEBRA 5. Prove that if A E Rnxn is a symmetric matrix with eigenvalues A1, A2,…

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Q: Determine the unique solution, y(a), to the differential equation that satisfies the given initial…

A: we use variable separable method to solve this differential equation .

Q: Solve the system of equations. Enter the exact -2x + 5y = -42 7x + 2y = 30

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Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

A: Solution is uploaded below

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A: Given thatWhere Thus the given integral,

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Q: Question 3 Y Part 1 of 2 Use Green's Theorem to evaluate $.F F. dr, where F(x, y) = (9y-8, 6x-6)…

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Q: 3. Figure 5.13 shows the velocity of an object for 0 <t < 6. Calculate the following estimates of…

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Q: 1) Verify that the indicated function y = −(cos x) ln(secx + tanx) is an explicit solution of the…

A: First we will find y" Then put value of y" and y in   y"+y = tanx If we get  LHS =RHS then it means…

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A: Given:The given function is .To Find:We have to find the Laplace transform of the given function.

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Q: (a) Show that || T ||· || T-¹ || ≥ 1 for every invertible operator T.

A: To prove the inequality ||T|| * ||T⁻¹|| ≥ 1 for every invertible operator T, we first need to define…

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Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

A: we'll apply the Laplace transform to each term separately using the linearity property of the…

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Q: Let C[0,1] have the inner product = [fungande. for fax= x and g(x)=x+1 find the following a) ||f||…

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