Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 1/x°, y = 0, x = 2, x = 4; about x = -2 Volume =

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A: Given Maclaurin series iscosx=1-x22!+x44!-x66!+...The parts d and e are answered as shown below.

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Solution

Q: VI. Consider the following axiom system: Undefined terms: letter, envelope, contain Axioms: (a)…

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A: The solution is given below

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Q: 7. Match the function with its graph 1 1. f(z, y) = In(r² + y*), 2. f(1, y) 3. S(r, y) = y² – x²,…

A: This is a problem of multivariable calculus.

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Q: Determine the local linear approx imation of flx,4,z) =(1+x) (l-y³) (l-2)²' at the point CT, 2,3)

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A: We can calculate using the given information

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Q: Let S be the quadric with equation 36x² – 4y² – 9z2 – 36x = 0 • Classify the graph of S…

A: Given, S is the quadric with the equation                                36x2-4y2-9z2-36x=0

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A: Here we use basic formula of volume

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A: We can solve this using given information

Q: 4. pis) Find the volume of the solid bounded by the planes z = 0, z = 4, and y = 9 and the…

A: We have to find the volume by using tripple integral.

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A: Your required answer is retyped as shown below.

Q: Let S be the quadric with equation 36x2 –4y2 –9z2 – 36x = 0. Sketch a graph of the surface with…

A: See answer below.

Q: dz dz and ду Suppose z is a function of a and y, and tan Vy² + x² = 2e6y. Solve for

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A: If an object is moving from x=a to x=b, then the work done by the force F is calculated by the…