Free t-test calculator for one-sample, two-sample (independent), and paired t-tests. Get the t statistic, degrees of freedom, p-value, critical value, and a clear reject/fail-to-reject decision with full step-by-step working.
Free polar to rectangular calculator. Convert polar coordinates (r,θ) to rectangular (x,y) and back — with step-by-step working, quadrant-correct atan2 handling, complex number form, and degree/radian toggle
Free zeros of a function calculator. Find all real and complex zeros of any polynomial — quadratic formula shown explicitly, cubic equation solver with discriminant, zero product property tool, and full step-by-step working
Free fraction decomposition calculator. Enter any rational function P(x)/Q(x) and get the full partial fraction decomposition with step-by-step working — distinct roots, repeated roots, and irreducible quadratic factors
Free points of inflection calculator. Find inflection points using the second derivative test with full sign-change verification, concavity intervals, and complete step-by-step working. Not just root-finding — genuine concavity change confirmed.
Free initial value problem calculator. Solve first and second order linear ODEs with constant coefficients — general solution, particular solution, and complete step-by-step working using the characteristic equation method
Free inverse Laplace transform calculator. Find ℒ⁻¹{F(s)} = f(t) via direct table lookup or partial fraction decomposition — with complete step-by-step working for polynomials, exponentials, trig, and damped oscillations
Free Hardy-Weinberg calculator. Solve p, q, p², 2pq, q² from any known value — recessive phenotype frequency, allele frequency, or observed counts — with complete step-by-step working. Includes genotype frequency calculator, allele frequency calculator, and phenotype frequency calculator
Free dilution factor calculator. Solve C1V1=C2V2 equations, calculate dilution ratios (1:10, 1:50), serial dilutions, and cell dilutions. Instant recipe box showing exactly how to prepare your solution
Free Punnett square calculator and generator. Create 2×2 monohybrid, 4×4 dihybrid, 8×8 trihybrid, and 16×16 quadhybrid crosses instantly. Includes ABO blood type, X-linked, and special cross modes with step-by-step results