1.Find the derivative of the product between a scalar functionand a vector function using the product formula.
2. Find the volume of an irregular solid using tripleintegration, the first integral should have at least one limit withvariables.
3. Determine the moment of inertia of an irregular solid usingtriple integration. the first integral should have at least onelimit with variables.
4. Find the angle between two lines using dot product. the twolines should not pass through zero.
5. Determine the work done (line integral) in a close path usingtwo methods. The path should contain a curve and a line. the lineshould not pass through (0,0). The first method should be by usingdirectly the formula F∙dr and the second method usingGreen's Theorem. Give your own vector field functionF. F should be of the formmyn,axmyn>
6. Discuss a practical application of the cross product(vectors)
