Precision calculators for algebra, geometry, ratios, and mathematical modeling.
Calculate the coordinates of the vertex (h, k) and axis of symmetry of a parabola from standard quadratic form y = ax² + bx + c.
Expand the square of any binomial expression of the form (ax + b)² or (ax - b)² into standard quadratic trinomial form a²x² ± 2abx + b².
Find the standard equation of a 3D plane Ax + By + Cz + D = 0 passing through three points or through a point with a given normal vector.
Compute the power-to-weight ratio for cars, motorcycles, aircraft, and cycling in hp/ton, hp/lb, W/kg, and kW/tonne.
Calculate precise salon mixing ratios of hair dye crème and liquid peroxide developer for 1:1, 1:1.5, and 1:2 formulations.
Calculate theoretical and effective field capacity (acres per hour) for lawn mowers, tractors, combines, and tillage implements.