See dear these all are different lengthy problems. According to HOMEWORKLIB RULES I have to solve only the first question when multiple questions are given. So I am solving first question. Hope similarly you can solve other questions.Rate it.
What is the Jacobian of the of the function F(x,y) = -48 22 - 39 y2 – 34 y 39.22 + 56 y2 – 34 3 You may enter your Jacobian in the form, [[a,b].[c, d]] Question 2: (1 point) Find the Jacobian of F(x, y, z) = -55 y2 +62 22 – 74.3 + tan (8 x 2) In (7x + 2) – 55 y2 +62 m2 - 74.2 e(2xy) +(372) Enter your answer as a matrix.
pi over 2 is not correct either Let F(x, y, z) = z tan-(y2)i + z3 In(x2 + 2)j + zk. Find the flux of F across S, the part of the paraboloid x2 + y2 + z = 5 that lies above the plane z = 4 and is oriented upward.
Please show all work. Answers provided below Answers: (x, y, z) dS for the following: (a) f(x, y, z) x+4 , where S is the portion of the generalized cylinder y2 +4z 16 cut off by the planesx 0, x-1 and z- 0 (b) f (c) f (x, y, z)-xyz, where S is the torus given in [12](e) (x, y, z)-xyz, where S is the portion of the cylinder y + z the planes x-1 and x 2 f(x, y,...
8 pts Question 3 Consider the function f(x,y, 2)(x 1)3(y2)3 ( 1)2(y2)2(z 3)2 (a) Compute the increment Af if (r,y, z) changes from (1,2,3 (b) Compute the differential df for the corresponding change in position. What does (2,3,4) to this say about the point (1, 2,3)? ( 13y2)3 ( 1)2(y 2)2(z 3)2 with C (c) Consider the contour C = a constant. Use implicit differentiation to compute dz/Ox. Your answer should be a function of z. (d) Find the unit...
dx/dt = 4x -x^2 -2xy dy/dt = -y+0.5 xy a) find equilibrium points b) find Jacobian matrix for above system c) find Jacobian matrix at eq. point (0,0) d) draw phase portrait near (0,0) from © e) show at eq. point (4,0) the Jacobian matrix is -4 -8 0 1 f) draw phase portrait near (4,0) from (d) g) at eq. point (2,1) the Jacobian matrix is -2 -4 0.5 0 h) draw phase portrait near (2,1) from (f) i)...
1. Find the maxima of the following functions. (a) f(x)-2-4. )2 (c) f (z,y)2+3. (d) f (x,y) = xy-x2-y2 + 9y.
Find an equation of the tangent plane to the surface f (x, y) = x tan y at the point (2, /4, 2). a. x - 4y - z = b. None of these c. x + 4y - z = - d. -x + 4y - z = e. - x + 4y - z = /4 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to...
Let S be the part of the sphere x^2 + y^2 + z^2 = 4 that lies between the cones z = √x^2 + y^2 and z = √3x^2 + 3y^2. (1) Let S be the part of the sphere x2 + y2 + Z2-4 that lies between the cones X +y and z a) Find a differentiable parametrization of S b) Find the area of S c) Find 22 dS. (1) Let S be the part of the sphere...
Please don't use the divergence theorem Very very urgent Ill need a detailed explanation of solving this problem. Let F(z, y, z)--z tan 1 (y2) İ + z3ln(z2 + 9) j + z k. Find the flux of F across the part of the paraboloid a y2 4 that lies above the plane z we need to solve using the formula like integral of fx,y).rx* r_y 3 and is oriented upward. Very very urgent Ill need a detailed explanation of...
1 Use Stokes' theorem to evaluate the integrals: F(x, y, z) dr a) where F(r, y,z)(3yz,e, 22) and C is the boundary of the triangle i the plane y2 with vertices b) where F(x, y,z (-2,2,5xz) and C is in the plane 12- y and is the boundary of the region that lies above the square with vertices (3,5, 0), (3,7,0),(4,5,0), (4,7,0) c) where F(x, y,z(7ry, -z, 3ryz) and C is in the plane y d) where intersected with z...