The divergence of a vector field F(x,y.z) = xyři + 2x²yzj – 3yz'k at the point (1, -1,1) is 9. -3 3 -9

Derive the condition (inequality) in hλ that indicates the Region of Absolute Stability for the Trapezoidal Method.  You can try to draw this region, but I am only asking for the condition.

orthogonal. The oxxx coordinate system is obtained from the ox,x,x, coordinate system by a positive (counterclockwise) rotation of 0 about the x, axis. Find the (full three dimensional) transformation matrix Q. Afurther positive rotation B about the x, axis is then made to give the ox"x"x" coordinate system. Find the 2. corresponding transformation matrix P. Then construct the trạnsformation matrix R for the complete transformation from the ox,t,X; to the ox"x"x" coordinate

Problem Set 2.2 Eliminate the arbitrary constants of the following DES 3. y = cx + c²+1 4. Ae2x + Bxe 2x

Determine by integration the centroid (?̅) of theshape in the figure (to the right).

PROBLEM # 3: Use the conjugate beam method and determine the slope at B and the displacement at C of the beam. "EI" is constant. 2 A В a a a a