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  3. 1.find the derivative of the product between a sca

1.Find the derivative of the product between a scalar function and a vector function using the...

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Advance Math

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 pathusing two methods. The path should contain a curve and a line. theline should not pass through (0,0). The first method should be byusing directly the formula and the second method using Green'sTheorem. Give your own vector field function F. F should be of theform
6. Discuss a practical application of the cross product(vectors)


(( need to give specific examples... not only formulas))

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