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Browse Classroom Capsules and Notes

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Displaying 1161 - 1170 of 1209

The convergence of certain types of series.
A geometric realization ofa famous telescoping series.
Three different proofs for harmonic-type series for ln(k).
A visual verification of the value of the definite integral of the square root of 1-x2 from a to 1.
Draw the secant line between any two points on the graph of a quadratic polynomial. The Mean Value Theorem tells us there is a point in that interval at which the derivative equals the slope of...
Draw the secant line between any two points on the graph of a quadratic polynomial. The Mean Value Theorem tells us there is a point in that interval at which the derivative equals the slope of...
Draw the secant line between any two points on the graph of a quadratic polynomial. The Mean Value Theorem tells us there is a point in that interval at which the derivative equals the slope of...
A mathematician and his dog go out for a run. On their return, the mathematician wonders how much further he ran than the dog. His analysis uses parametric curves and vector calculus to obtain...
Several different ways of averaging class sizes and population densities are presented from different perspectives, and the possible relations among them are discussed.

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