Sum of Cubes from 1 to n Calculator
Compute the closed-form sum of the first n positive cubes: 1³ + 2³ + ⋯ + n³ = (n·(n+1)/2)² = (Σk)². Note that the sum of...
Compute the closed-form sum of the first n positive cubes: 1³ + 2³ + ⋯ + n³ = (n·(n+1)/2)² = (Σk)². Note that the sum of...
Compute a weighted average from two equal-length lists of values and weights — useful for grades, weighted survey scores...
Computes the two singular values of a real 2×2 matrix from its entries using the eigenvalues of AᵀA.
Calculates the Thermic Effect of Food (TEF) — energy expended during digestion and absorption — from macronutrient calor...
Calculates gear ratio GR = T₂/T₁, output RPM = input RPM / GR, output torque = input torque × GR × η, and pitch line vel...
Compute the normality (N) of a solution from its molarity (M) and the number of equivalents per mole.
Calculates the magnetic force on a current-carrying conductor in a uniform magnetic field from B, I, length, and angle.
Calculates SNR = 10·log₁₀(P_signal/P_noise) in dB, and SNDR if distortion power is known. SNR > 40 dB is considered high...
Get the circumference, diameter, and area of a circle from any one of its radius, diameter, area, or circumference.
Compute the hyperbolic functions sinh(x), cosh(x), tanh(x), and their reciprocals csch, sech, coth at a given x. Hyperbo...
Compute the area of a circular sector ("pie slice") from the radius and the central angle in degrees.
Calculates portfolio return E[R_p] = w₁R₁ + w₂R₂ and variance σ²_p = w₁²σ₁² + w₂²σ₂² + 2w₁w₂ρσ₁σ₂ for two assets with gi...
Standard deviation is "average distance from the average". That one sentence covers 90% of everything you ever need to remember about it.
Every "X% of Y" problem, every "what percent of", every percent-change question — written out the way you'd actually say them.
These calculators were technically reviewed by Daniel Oh for accuracy.
Calculate an age-based pediatric dose from a known adult dose using Young’s Rule. A quick educational tool for students...