Use spherical coordinates. (a) find the centroid of a solid homogeneous hemisphere of radius 2. (assume the upper hemisphere of a sphere centered at the origin. use the density function ρ(x, y, z) = k. ) (x, y, z) = 0,0, 3 4 (b) find the moment of inertia of the solid in part (a) about a diameter of its base.

Aman is 6 feet 3 inches tall. the top of his shadow touches a fire hydrant that is 13 feet 6 inches away. what is the angle of elevation from the base of the fire hydrant to the top of the man's head?

Create a graph for the demand for starfish using the following data table: quantity/price of starfish quantity (x axis) of starfish in dozens price (y axis) of starfish per dozen 0 8 2 6 3 5 5 2 7 1 9 0 is the relationship between the price of starfish and the quantity demanded inverse or direct? why? how many dozens of starfish are demanded at a price of five? calculate the slope of the line between the prices of 6 (quantity of 2) and 1 (quantity of 7) per dozen. describe the line when there is a direct relationship between price and quantity.

In a timed typing test lara typed 63 words per minute.estimate the number of words she should be able to type in half in hour show your work