Use Stoke's theorem to evaluate F dr where F(x,y, z)=e-7i+ +e"k and C is the boundary of the part of the plane 8x +y +8z =8 in the first octant. O 23 O 49 O 69 O 16

Q: Use Stoke's Theorem to evaluate Į F· dr where F (x, y, =) = , and C is the triangle with C vertices…

A: given Fx,y,z=z2,y2,xy ⇒Fx,y,z=z2i^+y2j^+xyk^ and a traingle C with vertices 1,0,0 ,0,1,0 ,0,0,2 to…

Q: solve y(4)-3y'''+2y''=e3x  using undetermined coefficient

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Q: 3. The point (1, k, 4) lies on the plane [x, y, z] = [1, 2, 0] + s[3, 0, 1] + t[2, −1, 1]. Find the…

A: Given point (1,k,4) is on plane.plane  is

Q: 12. Find the area of the surface generated by rotating the curve y = √√x the y-axis. Do not…

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Q: don't understand how the equation turned into 5x+x+6/x(x+6), could you go through the equation again…

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Q: Evaluate / x2 zdS, where S is the part of the plane z = 4+ 3x + y above the rectangle [0, 4] x [0,…

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Q: -1 15. Determine if span R2. 1

A: A set of vector S is said to be span Rn if every vector of Rn can be written as the linear…

Q: f(-2)=3 f'(-2) = 4 g (4) = 5 g (4) = 2 The point (-2,4) lies on the curve in the xy-plane given by…

A: f(-2)=3f'(-2)=4g(4)=5g'(4)=2

Q: Let F(x, y, z) = -3y² + 4z + 6æk and C is the curve of the intersection of the plane x + y + z = 2…

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Q: A) Show that the function u(x; y) = 5x4y - 10 x²y³ + y5 is harmonic and determine the harmonic…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.