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410. [V] The transformation T.1.1: R3 R3, Tk,1,1 (u, v, w) = (x, y, z) of...
(1 point) The equations define u(x, y) and v(x, y) in terms of x and y near the point (x, y)-(1,1) and (u, v)-(1,1). Compute the partial derivatives ди du dx 0v dy dv ду Note that all answers are numbers. (1 point) The equations define u(x, y) and v(x, y) in terms of x and y near the point (x, y)-(1,1) and (u, v)-(1,1). Compute the partial derivatives ди du dx 0v dy dv ду Note that all answers...
(3) Consider f: R3- R3 defined by (u,, w)-f(r, y, :) where u=x w = 3~. Let A = {1 < x < 2, 0 < xy < 2, 0 < z < 1). Write down (i) the derivative Df as a matrix (ii) the Jacobian determinant, (ii) sketch A in (x, y. :)-space, and iv) sketch f(A) in (u. v, w)-space.
Assume that is the parametric surface r= x(u, v) i + y(u, v) j + z(u, v) k where (u, v) varies over a region R. Express the surface integral 116.3.2) as as a double integral with variables of integration u and v. a (x, y) a(u, v) du dy ru Хry dy du l|ru Xr, || f (x (u, v),y(u, v),z (u, v)) 1(xu, Wsx,y,z) Mos u.v.gou,» @ +()*+1 li ser(u, v),y(u, v),z (u, v) Date f (u, v,...
Given z = 2(x,y),X = x(s,t),y = y(s,t), and zx(-1,1)= 3, zy(-1,1)= 2, xs(-1,1)= -1, x,(-1,1)= 3, ys(-1,1)= 1, z (1,2)=5, z (1,2)=3, x(1,2)= -1, y(1,2)= 1, y,(-1,1)= 4, xs(1,2)=3, xx(1,2)= -2, x(-1,1)= 1, y(- 1,1)=2, 7(1,2)=7, vs(1,2)=2, a. compute ( cas ? )ats = 1,t =2, b. if we plot the surface Z as a function of 5 and t, then at the point (1,2) in the st-plane, how fast is Z changing in the direction (-1,1) in the...
4.let U= {q,r,s,t,u,v,w,x,y,z}; A= {q,s,u,w,y};and C={v,w,x,y,z,}; list the members of the indicated set , using set braces A'u B A.{Q,R,S,T,V,X,Y,Z} B.{S,U,W} C.{R,S,T,U,V,W,X,Z} D.{Q,S,T,U,V,W,X,Y}
Define an equivalence relation on R by (x,y,z) ∼ (u,v,w) whenever x +y +z = u +v +w . Describe the equivalence classes.
Let A-g's, u, v, w, x, y, z), B {q, s, y, z,C-{v, w, x, y, z), and D-6. Specify the following set. 9) Cu B 10) An B
Question 2 Let U = {q, r, s, t, u, v, w, x, y, z} C = {v, w, x, y, z}. List the elements in the set. CU
solved item S, T, U, V, W, X, Y, Z The demand for subassembly S is 100 units in week 7. Each unit of S requires 2 units of T and 1 unit of U. Each unit of T requires 1 unit of V, 2 units of W, and 1 unit of X. Finally, each unit of U requires 1 unit of Y and 2 units of Z. One firm manufactures all items. It takes 2 weeks to make S,...
Please try helping with all three questions.......please 1 point) Integratef(x, y, z) 6xz over the region in the first octant (x,y, z 0) above the parabolic cylinder z = y2 and below the paraboloid Answer Find the volume of the solid in R3 bounded by y-x2 , x-уг, z-x + y + 24, and Z-0. Consider the triple integral fsPw xyz2 dV, where W is the region bounded by Write the triple integral as an iterated integral in the order...