WMA14/01 · January 2025

Exact volume of a solid of revolution about the x-axis.

Implicit differentiation and the gradient where the curve meets the y-axis.

Binomial expansion with a fractional power: constants, validity and a coefficient.

Rate of change for an expanding sphere, and a differential equation for water depth.

Integrate an exponential expression, and partial fractions leading to a logarithm.

Proof by contradiction about whether an expression is even.

Exact definite integral with a trigonometric substitution.

Lines in vector form: coordinates, an angle and points giving a set triangle area.

Tangent to a parametric curve and where it meets the curve again.