Question 1
Let φ = arctan(x) - arctan(z) and ψ =
. Find a simplified expression for
grad(φ)
× grad(ψ).
◦
j◦
j◦ -
j◦
0 (zero vector field)
◦ 0 (zero scalar field)
Question 2
Compute
div F for
F =
sin 2x, cos 2y, tan 2z
.
◦ 2cos 2x - 2sin 2y + 2sec
2 z
◦ -cos 2x + sin 2y + 2sec
2 z
◦ 2cos 2x + 2sin 2y + 2sec
2 z
◦ 2cos 2x - 2sin 2y + 2sec z
◦ cos 2x + sin 2y + 2sec
2 z