This collection covers plane analytic geometry; functions, limits and continuity; differentiation and integration of algebraic and trigonometric functions with applications. Applications include: related rates, optimization, areas, volumes, arc length, surface area, work done, hydrostatic force, cen…
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Introduce center of mass of a thin plate bounded by two curves. Show how to set up mass and moments about x- and y- axes to calculate the center of mass. Use Casio and TI to check computations.
Introduce center of mass of a thin plate. Show how to set up mass and moments about x- and y- axes to calculate the center of mass. Use Casio and TI to check computations.
Introduce fluid force problem with a plate submerged horizontally and vertically. Show how to set up a definite integral with the strip depth, length, and thickness.
Show how to solve pumping liquid in and out of a container problem. Show how to set up axes, definite integrals for work done, and limits for integration.
Introduce work done application. Show how to set up work done for variable force, spring, and bucket problems.
Show how to apply formulas to find areas of surface of revolution. Show how to simplify the integrand before integration. Use Casio and website to check answers.
Introduce areas of surface of revolution and derive the formulas. Show how to apply the formula and simplify the integrand before integration. Use Casio to check answers.
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