Find the mass and center of mass of the lamina that occupies the region D and has the given density function rho. D is the triangular region with vertices (0, 0), (2, 1), (0, 3); rho(x, y) = 4(x + y)

Mass of the lamina is 24

Centre of Mass is

Step-by-step explanation:

(1) the x-bound are 0≤x≤2

the line passing through (0,0) and (2,1) has equation y = x/2

line passing through (0,3) and (2,1) has equation y = -x + 3

so, the y-bound are x/2≤y≤-x +3

Check attachment for further calculations.....

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.