Calculus — popular questionsPage 3

Finding container dimensions from a volume constraint

Minimizing the cost of an open-top rectangular box

Optimizing cylinder volume from a rectangular sheet metal

Determining whether an infinite series converges or diverges

Newton iteration formula for square root approximation

Evaluating a geometric series in sigma notation

Using Fourier series to evaluate an infinite odd series

Solving the tank salt model after ten minutes

Modelling salt concentration with a mixing differential equation

Optimising rectangle area between two parabolas

Maximising rectangle area inside a right isosceles triangle

Finding amplitude period and midline of a sine function

Exact sine and cosine values for unit circle angles

Identifying symmetry and extrema in polar graphs

Interpreting average and instantaneous change in a spread model

Combining a rational function with a logarithm expression

Area enclosed by a parabola line and vertical boundary

Domain of arccos and logarithm reciprocal expression

Domain of an inverse sine rational expression

Domain of inverse sine and logarithm composition