1.Find the derivative of the product between a scalar function
and a vector function using the product formula.
2. Find the volume of an irregular solid using triple
integration, the first integral should have at least one limit with
variables.
3. Determine the moment of inertia of an irregular solid using
triple integration. the first integral should have at least one
limit with variables.
4. Find the angle between two lines using dot product. the two
lines should not pass through zero.
5. Determine the work done (line integral) in a close path
using two methods. The path should contain a curve and a line. the
line should not pass through (0,0). The first method should be by
using directly the formula and the second method using Green's
Theorem. Give your own vector field function F. F should be of the
form <axmyn,axmyn>
6. Discuss a practical application of the cross product
(vectors)
(( need to give specific examples... not only formulas
))