Find the mass of the lamina described by the inequalities, given that its density is rho(x, y) = xy. 0 ≤ x ≤ 2, 0 ≤ y ≤ 2

Mass of lamina = 4

Step-by-step explanation: A lamina is a plate in 2 dimensions, described by the plane it covers and its density function, .

To determine mass of the lamina:

mass (M) =

where D is region bounded by the axis.

For the question:

M =

Calculating the double integral:

M =

M =

M =

M =

M = 4

The mass of lamina is 4 units.

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720

tip $2.90

total $17.40