The surface S consists of the four sides of the cube [0, 1] × [0, 1] × [0, 1] plus its top but not the bottom (so the face where z = O is not part of S). If F(x, y, z) = ze*“ i + 3yj + (2 – yz") k then: F. dS (Suggestion: Use the Divergence Theorem, but notice that S is not closed, so you will have to "close it up.")

Q: suppose or be the same TO X-(X,X2) And page. Y =(Y1,Y2) %3D 1/2 dz (X,y) = ( \xq-Yal"+ |x2-Y2T) max.…

A: As per company rule we will solve the first part. For other parts kindly post in other question.

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A: We know if y=f(t) and x=g(t) then mass of the wire of an arc (f(t),g(t)) in a≤t≤b is given by…

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A:

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A: Let's find.

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A:

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A: Here we take the  (1,1) to (1,2) on hyperbolic plane.    for example we take this    d(x,y) = a cosh…

Q: 37 17 Squeceze theorem to 8how an= 3" Conuerqcnt, Use aveeze

A:

Q: -}]-=[}]»=[}- [] 3 Find Let vị = and p = 3 a hyperplane [f: d] (in this case, a line) that strictly…

A:

Q: 7. (~Ch16 Review #6) Compute y3 dx + x² dy where C is the arc of the parabola x = 1- y² from (0, –…

A: In this question we need to find the given line integral .

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A: The given point is 1, -4The radius is 2

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A: The parabolic cylinder functions are the solutions to the differential equation d2ydx2 + ax2 + bx +…

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A: We have to draw the suitable diagram first.

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A: Here is the solution of the given problem. Linear Approximation Ans Cubic Approximation.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.