Question 6 Evaluate SSS, VX2 + y2 +7 av, R is the region between x² +...
The answer is neither 1152π nor 1008π
(1 point) Vx2 +y2 dA, where D is the domain in Figure 4 I Evaluate F D G:(x- 6)2y2 = 36 Fx2y2 = 144 -R R¢ -R Rf 12 Rg = 6 FIGURE 4 Slp Vx2 +y dA = 1008pi
(1 point) Vx2 +y2 dA, where D is the domain in Figure 4 I Evaluate F D G:(x- 6)2y2 = 36 Fx2y2 = 144 -R R¢ -R Rf 12 Rg = 6 FIGURE...
10) Integrate f(x, y) = sin (Vx2 + y2) over the region 0 < x2 + y2 = 16
(1 point) Use spherical coordinates to evaluate the triple integral dV, e-(x+y+z) E Vx2 + y2 + z2 where E is the region bounded by the spheres x² + y2 + z2 = 4 and x² + y2 + z2 16. Answer =
Evaluate SSS, (x² + y2 + z)ele?+y't??)? DV, where B is the unit ball: B={(x,y,z)/x² + y2 +2+ <1}
6. Evaluate the integralſ cos3x sin x dx 7. Evaluate the integral S Vx2 + 9 dx
5.Use polar coordinates system to evaluate: x2 + y2)dydx , R is the region enclosed by 0 <x< 1 and, -x sy sx
(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
Evaluate the following integral in spherical coordinates. SSS--(=y2 +22)3120v 3/2 dV; D is a ball of radius 5 D SSS - (x2 + y2 +22) >/?dv=E D (Type an exact answer, using a as needed.)
QUESTION 1b)
1. Consider the function f = e Vx2+y2 a) Using the meshgrid command, generate a grid for the region -5 < x < 5,-5 sy s 5 in steps of 0.5. Calculate the function in this region of space. Using the contour and colorbar commands, plot the function. Specify 50 contour levels. b) Using the gradient command, calculate the gradient of the function. Specfy a step of 0.5. Using the quiver command, plot the gradient. In both cases,...
Evaluate the following integral. SSS (xy + x2 + y2) dV; D = {(x,y,z): -55x55, -15ys1, -35253} D SS Scy (xy + x2 + yz) DV = (Simplify your answer.) D