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Sense Directional

Can someone help me with my Calc 3 homework?
I need to find the directional derivative of the function f given by f(x,y,z) = ze^(xy) in the direction (1/sqrt2 i + 1/sqrt2 k) at the point (0.5, ln2, 1/ln2). Typing equations on a computer is difficult. I hope this makes sense. Thanks for the help.
The directional derivative of f in the given direction is the gradient of f dotted with the unit vector.
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PICDEMâ„¢ Touch Sense 2 Demonstration Board with Diagnostic Tool
Statics Problem (Magnitude and Angle)?
Determine magnitude and directional sense (angle) of the resultant moment of the forces at A and B about point P
Here is the required picture:
Suppose M is the clockwise moment at P, so taking moment around P
M + 60cos30 * 18 + 60sin30 * 2 + 40cos45 * 12 = 40sin45*6
M = -1165.8 lb - inch
so M = 97.15 lb-ft and its anticlockwise
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