STEM Learning Studio

Evaluate the power-rule derivative of a·xⁿ at a point, cross-check it with a numerical central-difference estimate, and estimate a two-sided limit — the entry point to calculus.

Compute the determinant, trace, and inverse of a 2×2 or 3×3 matrix, with the cofactor expansion shown step by step. The linear-algebra tool behind structural stiffness and circuit-analysis problems.

Solve ax² + bx + c = 0 with the quadratic formula: discriminant, real or complex roots, vertex, and axis of symmetry.

Given launch speed, angle, and height, compute time of flight, maximum height, and range — the classic FE dynamics problem, worked from first-principles kinematics.

Solve F = ma for force from mass and acceleration, then find whether a block on an incline slides and its acceleration under kinetic friction.

Find the period, frequency, and angular frequency of a spring-mass system or a simple pendulum, plus displacement, velocity, and acceleration at any instant.

Enter the coefficients and available moles of two reactants to find the limiting reagent, moles of product formed, and theoretical yield mass.

Compute molarity from mass, molar mass, and volume, or use C₁V₁ = C₂V₂ to find how much stock solution and diluent you need for a target concentration.

Enter any angle to get all six trig functions, the reference angle, quadrant, and exact values for standard angles, plus a Pythagorean/sum-difference/double-angle identity reference.