Question 8 8 F(x, y, z) = 8 x ²2 1 + 05 + 5x²² k X, Z a. Find div (F) b. Find Curl (F)
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- If F(x, y, z)= xz i + xyz j - y 2 k find curl FSketch the surfaces CYLINDERS z = y2 - 1a) Plot a direction field and some integral curves for xy'-2y=-1 on the rectangular region {-1<or equal x <or equal 1,-0.5<or equal y <or equal 1.5}. what do the all integrals cuves have in common? b) show that the general solution of (A) on(-infinity,0) and (0,positive infinity) is y=1/2+cx2