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Updated by Desmos Links on Jan 14, 2020
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AP Calculus

Movie Screen

A classic calculus question in regards to the best viewing angle to watch a movie.
A movie screen on a wall is 25 feet high and 9 feet above the floor. At what distance x from the front of the room should you position yourself so that the green shaded viewing angle is the largest?

Integral Example #1

Integral Example #1

Cross Sections - Equilateral Triangles

Cross Sections - Equilateral Triangles

Cross Sections - Proportional Rectangles and Squares

Cross Sections - Proportional Rectangles and Squares

Cross Sections - Semi-Circles

Cross Sections - Semi-Circles

Maclaurin Series for sinx

Maclaurin Series for sinx

Cross Sections - Fixed Height Rectangles

Cross Sections - Fixed Height Rectangles

Maclaurin Series for e^x

Maclaurin Series for e^x

Taylor Series of degree D for sin(x)

Taylor Series of degree D for sin(x)

The Squeeze Theorem!

The Squeeze Theorem!

Slope Field Generator

Slope Field Generator

Midpoint Riemann Sum

Midpoint Riemann Sum

Riemann sum

Riemann sum

Derivative Example #2

Derivative Example #2

Derivative Example #1

Derivative Example #1

Right Riemann Sum

Right Riemann Sum