com/myct/itemV 9 of 9> to its weight? (Let the y axis be vertical and the z...
9) Find the flux of the field =< 3x, -y, -z > through the surface of the box in the first octant bounded by the coordinate axis and the planes x = 1, y = 2, z = 3
4. Let f(x, y, z) = rytan'() + z sin(xy), < = wy=v²v, z = ". Find fu and , using the chain rule.
(2) Let f(z, y)-xy +x-y be defined on the closed disk {(z, y) E R2 : z? + y2 < 4} of radius 2. (a) Find the maximu and minimu of Duf at (0,0) over all unit vectors u. (b) Find the maximum and minimum of Duf over all points in the disk(,y) E R2 r2 + y2 < 4} and all unit vectors u. (llint. Think of IvJF as a function ofェand y in the disk.)
Determine if - - 1 is a hyperbola and if it is, which type it is. The transverse axis is 16 36 (z - h)2( - k) Horizontal or b2 (y - h)2( -k) Vertical: 9 Ca Horizontal Vertical Not a Hyperbola If it is a hyperbola, write the equation of the hyperbola in its standard form. If it is not a hyperbola, leave the rest blank. Sketch a graph of 4z2-y -6 15/18 Determine whether the given equation is...
Where must a proton be placed in order for the electric force acting on it to be exactly opposite to its weight? (Let the y axis be vertical and the z axis be horizontal.) Review A point charge q-0.54 nC is fixed at the origin above the q below the q Correct Part B Express your answer using two significant figures. km
Problem 19.26 7 of 20 > Review Part A A point charge q-0.54 nC is fixed at the origin. Where must an electron be placed in order for the electric force acting on it to be exactly opposite to its weight? (Let the y axis be vertical and the axis be horizontal.) Enter your answers numerically separated by a comma. Express your answer using two significant figures. z, y-10.2.9. 10-25 Submit Previous Answers Request Answer x Incorrect; Try Again; 4...
14. Let S be the cylinder {(x, y, z)| x2 +22 = 25,0 SY <2}. Orient S by the outward pointing normal n = (x/5,0,2/5). Evaluate Fds, where F(x, y, z) = (x – 2, y, x + 2). Hint: The area of a cylinder of radius r and height h is 2nrh.
A point charge q = -0.25 nC is fixed at the origin.Where must a proton be placed in order for the electric force acting on it to be exactly opposite to its weight?(Let the y axis be vertical and the x axis be horizontal.)r=? km
(7 pts.) Let f(x, y, z) = "y and let R be the region {(x, y, z) |2 < x < 4,0 Sy < 3,15 zse}. 2 Evaluate | $180,0,.2) av. R
5] (2) GIVEN: a> 0,0# {(x, y, z) z a"-x'-y") W is the solid region of R' that is below 2 and above the xy- plane. W has constant density,8 and the mass of W is M, m(W) M FIND: The moment of inertia, I, of W with respect to the z- axis, express 2 I in terms of M and a without 8