sin (z) cos3 (z) dz. y° cos (3y) dy. sin (z) cos3 (z) dz. y° cos (3y) dy.
The figure shows the region of integration for the integral. fx, y, z dy dz dx 0 Jo Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume yx) 6x and z(x)-36-) x. f(x, y, 2) dy dx dz x, , z) dz dx dy f(x, y, z) dz dy dx f(x, y, z) dx dy dz fx, y, z) dx dy dz J0 Jo Jo f(x, y, z) dz dx dy 0 0 f(x, y,...
dz Consider the equation 6 sin(x + y) + 2 sin (x +z)+ sin(y +z)= 0. Find the values of and dz ду at the point (41,41,- 3x). dx dz cx (Simplify your answer. Type an exact answer, using radicals as needed.) (41,4x - 3x) dz dy (43,4%, - 3x) (Simplify your answer. Type an exact answer, using radicals as needed.)
calculus 3 Tar LAami Jum er Z01J -z2 z sin x dy dz dx 1 8. Evaluate L Tar LAami Jum er Z01J -z2 z sin x dy dz dx 1 8. Evaluate L
Calculate dy/dx 4(x)= lu (x²-3x+4) y(x) = sin" (x4)
dy Find dz for y ea = 95 – x4 dy dr Preview
6. -1.25 points My Notes Evaluate (y 3 sin x) dx + (z2 +7 cos y) dy x3 dz COS JC where C is the curve r(t) - (sin t, cos t, sin 2t), 0 s t s 27. (Hint: Observe that C lies on the surface z - 2xy.) F dr- 6. -1.25 points My Notes Evaluate (y 3 sin x) dx + (z2 +7 cos y) dy x3 dz COS JC where C is the curve r(t) -...
Evaluate a) $*$*$**** siny dy dz dx E:{(x,y,z):0 5x5 3,0 sysx, x-yszsx+y}
is the Use Stokes' theorem to evaluate ſc(1+y)z dx + (1+z)x dy+(1 + x)y dz, where counterclockwise-oriented triangle with vertices (1,0,0), (0,1,0), and (0,0,1).
(3) Write g(x, y, z) dz dy dx in five additional ways, by changing the orders of integration. It may help to sketch the region of integration first.