Test 8: Fluid Dynamics

Instruction: Create a pdf file with all the solutions, upload file on Google Drive and share the link in the form shared at the bottom of the page

Total Marks: 75

1) Find the directional derivative of \(\phi(x, y, z)=x^{2} y z+4 x z^{2}\) at the point (1,-2,-1) in the direction of the vector \(2 \vec{i}-\vec{j}-2 \vec{k}\).

a) \(\dfrac{37}{9}\)
b) \(\dfrac{37}{3}\)
c) \(\dfrac{37}{6}\)
d) \(\dfrac{37}{7}\)