Applications of Double Integrals:  Mass, Center of Mass, Jacobian

Tutoring on Applications of Double Integrals:  Mass, Center of Mass, Jacobian

Learning Objectives:

Understand and Apply Double Integrals: Mass,Center of Mass, jacobian

Math Tutoring on Applications of Double Integrals Mass, Center of Mass, Jacobian

Applications of Double Integrals in Math Tutoring are as Follows:

1.     Mass of a Lamina:

If  is a Continuous Density Function of a Lamina in the plane region R, then the Mass of the Lamina is –

2.     Center of Mass of a Lamina:

 If  is a Continuous Density Function of a Lamina in the plane region ‘R’, then the Mass of the Lamina is –

The Moments of Mass with respect to the x and y axes are:

The Center of Mass is:

3.     Jacobian of Transformation of Two Variables:

If  then,

 

 

 

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Hook Question:

1.     State some applications of Double Integrals.

 

 

 

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