6) Apply Fundamental Theorem of eine Integrals ntegral to evaluate the line where C is the square with vertices 10,0), (1,0), (1,4) and 10,1) traversed Counter clockwise and h (x,y) =( 3x²y+ xyz-1); + (x²+x?y+ ky') %3D

Q: find the residues of z/(1-z^4) at z = i

A:

Q: ind the maximum and minimum values of the function f(x, y, z) = ax + by + cz, where a, b, c are…

A: In the given question, maximum and minimum values of the function f(x, y, z) = ax + by + cz, where…

Q: 4) Show that the surfaces 3X² + 2Y²+Z² = 9 and x² + y² + Z²-8X-6Y-8Z + 24 = 0 have a common tangent…

A: We have to prove both surfaces have common tangent at P(1,1,2).

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

A:

Q: The normal line to the surface x² + 2y² + ² = 25 at the point (1, -2, 4) is parallel to the vector O…

A:

Q: What are the coordinates of X' for the image of ATUX after dilation with center at (0, 0) and scale…

A: The coordinates of given triangle are T-7,-6, U-8,3, X2,1. To Find: New coordinates of X if the…

Q: you know that a sphere has the equation of  x^2 + y^2 +z^2 -6x +4z =3 are the following points…

A: The equation of sphere is:-Now add 9 and 4 both side:-

Q: A) Integrate f(x, y) = xy^2 over the square bounded with endpoints at (0, 0), (0, 1), (1, 0) and (1,…

A:

Q: Prove that z'e'-z = 1 has exactly two roots inside the circle |z] = 1.

A:

Q: What is the translation from quadrilateral EFGH to quadrilateral E F'GH'? E -6 15 14 -3 -2 -1 4 F G'…

A:

Q: 1. The following equation shows your retained information depending as a function of the hours of…

A: we have been given the function for retaining information as a function of t -'hours of study'…