Find the integral using spherical polar coordinate

Reference no: EM1317775

Show the mass as triple integral and solve the integral using spherical polar coordinate.

Let B be the three dimensional region below the sphere z = √ (1- x² - y²) and above the xy - plane. Suppose the density of the material inside B is given by:
Δ(x , z) = 8z (in Kg/m³).
Let Mass (B) denote the total mass (in kilograms) of the material inside region B.

Express Mass (B) as a triple integral in rectangular coordinates. Express the mass also as a triple integral in spherical coordinates. Use the spherical coordinate integral to evaluate.

Reference no: EM1317775

Questions Cloud

Case study of fred flowers : Fred Flowers works for Alabama Electric and is a resident of the State of Florida. Following a series of storms in the Northeast, Alabama Electric sent Fred to Virginia as part of a team to assist in the repair of equipment.

What is expected number of defective syringes : The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of eight syringes taken from the batch. Assume the batch contains 1% defective syringes.

Write 426 in expanded notation : Write 426 in expanded notation

Us economy which has a major economic impact be specific : Give an example of an event or incident that has taken place in the U.S. economy which has a major economic impact--be specific.

Find the integral using spherical polar coordinate : Show the mass as triple integral and solve the integral using spherical polar coordinate and Use the spherical coordinate integral to evaluate

Marginal probability-conditional probability : If an apartment is selected at random, what is the probability that it is not a 2 bedroom apartment on the 2nd floor?

Objective function and constraint equations : Define the objective function and constraint equations. Graph the feasible region. What is a maximum-profit daily production plan at the new factory? How much profit will such a plan yield, assuming whatever is produced is sold?

Compute the value of y in the mod 9 system : Compute the value of y in the mod 9 system.

Merk is a biotech division of bayer pharmaceuticals : Merk is a biotech division of Bayer Pharmaceuticals. In its eight years of existence, Merk has had only one drug make it into clinical trials.

User Account

All Pages