Quadratic Formula
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Math and Science Fundamentals
A quick reference guide to essential equations and formulas in mathematics and science, covering algebra, calculus, physics, and chemistry. This cheat sheet helps students and professionals alike quickly recall and apply fundamental principles.
Algebra & Calculus
Algebraic Formulas
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Difference of Squares |
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Perfect Square Trinomial |
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Binomial Theorem |
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Sum of Cubes |
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Difference of Cubes |
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Calculus - Differentiation
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Power Rule |
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Product Rule |
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Quotient Rule |
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Chain Rule |
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Derivative of Sine |
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Derivative of Cosine |
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Calculus - Integration
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Power Rule (Integration) |
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Integral of Sine |
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Integral of Cosine |
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Integral of Exponential |
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Integral of 1/x |
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Integration by Parts |
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Physics
Mechanics
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Kinematic Equation 1 |
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Kinematic Equation 2 |
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Kinematic Equation 3 |
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Newton’s Second Law |
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Work |
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Potential Energy (Gravity) |
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Kinetic Energy |
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Thermodynamics
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First Law of Thermodynamics |
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Ideal Gas Law |
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Heat Transfer (Conduction) |
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Efficiency of a Heat Engine |
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Entropy Change |
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Electricity & Magnetism
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Ohm’s Law |
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Electric Power |
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Coulomb’s Law |
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Magnetic Force on a Moving Charge |
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Magnetic Field of a Long Straight Wire |
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Faraday’s Law of Induction |
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Chemistry
Basic Concepts
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Molarity |
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Molality |
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Percent Composition |
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Ideal Gas Law |
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Density |
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Thermochemistry
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Heat (q) |
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Enthalpy Change |
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Hess’s Law |
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Gibbs Free Energy |
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Relationship between ΔG and K |
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Equilibrium
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Equilibrium Constant (K) |
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pH |
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pOH |
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Relationship between pH and pOH |
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Acid Dissociation Constant (Ka) |
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Base Dissociation Constant (Kb) |
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Geometry & Trigonometry
Basic Geometry Formulas
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Area of a Circle |
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Circumference of a Circle |
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Area of a Triangle |
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Pythagorean Theorem |
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Volume of a Sphere |
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Surface Area of a Sphere |
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Trigonometric Identities
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Sine Identity |
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Tangent Identity |
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Cosecant Identity |
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Secant Identity |
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Cotangent Identity |
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Double Angle Formula for Sine |
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Laws
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Law of Sines |
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Law of Cosines |
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