Solution of IDZ Ryabushko 9.3 - Variant 13

Section: Chapter 9. Definite Integral
Topic: Applications of the Definite Integral: Physics and Mechanics
Description: Calculation of work expended on pumping liquid from reservoirs of various shapes (cylinder, cone, pyramid, etc.), fluid pressure force on a vertically submerged plate, coordinates of the center of mass of a homogeneous plane curve and figure.

Tasks:
1. Calculate the work required to pump liquid out of a reservoir
2. Calculate the fluid pressure force on a vertically submerged plate
3. Find the coordinates of the center of gravity of a homogeneous plane curve

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