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AI Math Formula

MathCrave AI Math Formula tool holds great significance as it simplifies and expedites the process of formulating mathematical equations in engineering. By automatically generating formulas, it reduces the time and effort required for engineers and students to come up with these often complex mathematical expressions.

  • Moreover, the clear explanations accompanying each formula help users better understand the underlying principles and concepts. This enhances their overall comprehension of engineering mathematics and allows them to apply the formulas effectively in various problem-solving scenarios.

  • The inclusion of worked examples is particularly valuable as it demonstrates the practical implementation of the formulas. Users can see how the equations are used to solve real-world engineering problems, providing them with a concrete understanding of their usefulness and relevance.

  • MathCrave AI Math formula generator caters to both basic and advanced engineering mathematics. This versatility is significant as it supports learners at different levels of proficiency, from novice students to experienced engineers. It serves as a valuable resource for education, self-study, and professional applications, offering a wide range of formulas and their explanations.

 

Featured Math Formula Calculator to Generate

Binomial

  • Binomial coefficient

  • Binomial Formula for Positive Integral n

  • Properties of Binomial Coefficients

  • Multinominal formula

Complex numbers

  • Complex numbers;

  • Arithmetic of complex numbers;

  • Equality of complex numbers;

  • Polar form of complex numbers;

  • Absolute value of a complex number;

  • Multiplication of complex number in polar form;

  • Division of complex numbers in polar form;

  • De Moivre’s Theorem

  • Roots of Complex Numbers;

Quadratic equations

Geometric and shapes

  • Rectangle of Length b and Width a;

  • Parallelogram of Altitude h and Base b;

  • Triangle of Altitude h and Base b;

  • Trapezoid of Altitude h and Parallel Sides a and b;

  • Regular Polygon of n Sides Each of Length b;

  • Circle of Radius r;

  • Sector of Circle of Radius r;

  • Radius of Circle Inscribed in a Triangle of Sides a, b, c;

  • Radius of Circle Circumscribing a Triangle of Sides a, b, c;

  • Regular Polygon of n Sides Inscribed in Circle of Radius r;

  • Regular Polygon of n Sides Circumscribing a Circle of Radius r;

  • Segment of Circle of Radius r;

  • Ellipse of Semi-major Axis a and Semi-minor Axis b;

  • Segment of a Parabola;

  • Rectangular Parallelepiped of Length a, Height b, Width c;

  • Parallelepiped of Cross-sectional Area A and Height h;

  • Sphere of Radius r;

  • Right Circular Cylinder of Radius r and Height h;

  • Circular Cylinder of Radius r and Slant Height l;

  • Cylinder of Cross-sectional Area A and Slant Height l;

  • Right Circular Cone of Radius r and Height h;

  • Pyramid of Base Area A and Height h;

  • Spherical Cap of Radius r and Height h;

  • Frustum of Right Circular Cone of Radii a, b and Height h;

  • Spherical Triangle of Angles A, B, C on Sphere of Radius r;

  • Torus of Inner Radius a and Outer Radius b;

  • Ellipsoid of Semi-axes a, b, c;

  • Paraboloid of Revolution;

  • Distance d Between Two Points P1(x1, y1) and P2(x2, y2)

  • Slope m of Line Joining Two Points P1(x1, y1) and P2(x2, y2)

  • Equation of Line Joining Two Points P1(x1, y1) and P2(x2, y2)

  • Equation of Line in Terms of x Intercept a ≠ 0 and y Intercept b ≠ 0

  • Normal Form for Equation of Line

  • General Equation of Line

  • Angle ψ Between Two Lines Having Slopes m1 and m2

  • Area of Triangle with Vertices at (x1, y1), (x2, y2), (x3, y3)

  • Transformation of Coordinates Involving Pure Rotation

  • Transformation of Coordinates Involving Translation and Rotation

  • Polar Coordinates (r, θ)

  • Equation of Circle of Radius R, Center at (x, y)

  • Equation of Circle of Radius R Passing Through Origin

  • Ellipse with Center C(x0, y0) and Major Axis Parallel to x Axis

  • Parabola with Axis Parallel to x Axis

  • Hyperbola with Center C(x0, y0) and Major Axis Parallel to x Axis

Special Planes

  • Cycloid

  • Hypocycloid with Four Cusps

  • Cardioid

  • Catenary

  • Three-Leaved Rose

  • Four-Leaved Rose

  • Epicycloid

  • General Hypocycloid

  • Trochoid

  • Tractrix

  • Witch of Agnesi

  • Folium of Descartes

  • Involute of a Circle

  • Evolute of an Ellipse

  • Ovals of Cassini

  • Limacon of Pascal

  • Cissoid of Diocles

  • Spiral of Archimedes

Solid Analytic Geometric

  • Distance d Between Two Points P1(x1, y1, z1) and P2(x2, y2, z2)

  • Direction Cosines of Line Joining Points P1(x1, y1, z1) and P2(x2, y2, z2)

  • Relationship Between Direction Cosines

  • Equations of Line Joining P1 (x1, y1, z1) and P2(x2, y2, z2) in Standard Form

  • Equations of Line Joining P1(x1, y1, z1) and P2(x2, y2, z2) in Parametric Form

  • Angle e Between Two Lines with Direction Cosines l1, m1, n1 and l2, m2, n2

  • General Equation of a Plane

  • Equation of Plane Passing Through Points (x1, y1, z1), (x2, y2, z2), (x3, y3, z3)

  • Equation of Plane in Intercept Form

  • Equations of Line Through (x0, y0, z0) and Perpendicular to Plane

  • Cylindrical Coordinates (r, θ, z);Spherical Coordinates (r, θ, φ )

  • Equation of Sphere in Rectangular Coordinates

  • Equation of Sphere in Cylindrical Coordinates

  • Equation of Sphere in Spherical Coordinates

  • Equation of Ellipsoid with Center (x0, y0, z0) and Semi-axes a, b, c

  • Elliptic Cylinder with Axis as z Axis

  • Hyperboloid of One Sheet

  • Hyperboloid of Two Sheets

  • Elliptic Paraboloid

  • Hyperbolic Paraboloid

The Moments of Inertia of Rigid Bodies of Mass M

  • Thin rectangular plate with sides a, b

  • Circular cylinder of radius a and height h

  • Hollow circular cylinder of outer radius a, inner radius b and height h

  • Circular plate of radius a;Thin circular ring of radius a

  • Sphere of radius a

  • Hollow sphere of outer radius a and inner radius b

  • Hollow spherical shell of radius a

  • Ellipsoid with semi-axes a, b, c

  • Circular cone of radius a and height h

  • Torus with outer radius a and inner radius b

Trigonometric Functions

  • Trigonometric Functions for a Right Triangle

  • Relationship Between Degrees and Radians

  • Relationship Between Degrees and Radians

  • Relationships Among Trigonometric Functions

  • Signs and Variations of Trigonometric Functions

  • Exact Values for Trigonometric Functions of Various Angles

  • Functions of Negative Angles;Addition Formulas

  • Functions of Angles in All Quadrants

  • Relationships Among Functions of Angles in Quadrant I

  • Double Angle Formulas

  • Half Angle Formulas

  • Multiple Angle Formulas

  • Powers of Trigonometric Functions

  • Sum, Difference, and Product of Trigonometric Functions

  • Inverse Trigonometric Functions

  • Principal Values for Inverse Trigonometric Functions

  • Relations Between Inverse Trigonometric Functions

  • Law of Sines;Law of Cosines

  • Law of Tangents

  • Relationships Between Sides and Angles of a Spherical Triangle

  • Napier’s Rules for Right Angled Spherical Triangles

Exponential and Logarithmic Functions

  • Laws of Exponents

  • Laws of Logarithms

  • Change of Base of Logarithms

Hyperbolic Functions

  • Euler’s identities

  • Periodicity of Exponential Functions

  • Polar Form of Complex Numbers Expressed as an Exponential

  • De Moivre’s theorem

  • Logarithm of a Complex Number

  • Hyperbolic sine of x

  • Hyperbolic cosine of x

  • Hyperbolic tangent of x

  • Hyperbolic cotangent of x

  • Hyperbolic secant of x

  • Hyperbolic co-secant of x

Other Formulas Generated by MathCrave AI Formula

\( 2 \cos a \cos b \) Formula
Midpoint Formula
30-60-90 Formulas
Monthly Compound Interest Formula
Absolute Value Formula
Multiple Angle Formulas
Addition Formula
N Choose K Formula
Algebra Formulas
Natural Log Formula
Algebraic Expressions Formula
Newton’s Method Formula
Angle Formula
Normal Distribution Formula
Annulus Formula
Octagon Formula
ANOVA Formula
Orthocenter Formula
Antiderivative Formula
Parabola Formula
Arc Length Formula
Parallel Line Formula
Arccot Formula
Parallelogram Formula
Arctan Formula
Partial Differential Equations
Area Formula for Quadrilaterals
Pearson Correlation Formula
Area Formulas
Percent Composition Formula
Area of a Circle Formula
Percent Decrease Formula
Area of a Pentagon Formula
Percent Difference Formula
Area Of A Sector Of A Circle Formula
Percent Error Formula
Area of a Square Formula
Percentage Change Formula
Area of a Trapezoid Formula
Percentage Decrease Formula
Area Of An Octagon Formula
Percentage Formula
Area Of Isosceles Triangle
Percentage Increase Formula
Area of Regular Polygon Formula
Percentage Yield Formula
Area Under the Curve Formula
Percentile Formula
Arithmetic Mean Formula
Perfect Square Formula
Arithmetic Sequence Explicit Formula
Perfect Square Trinomial Formula
Arithmetic Sequence Formula
Perimeter Formulas
Arithmetic Sequence Recursive Formula
Perimeter of a Kite Formula
Associative Property Formula
Perimeter of a Parallelogram Formula
Asymptote Formula
Perimeter of a Square Formula
Average Deviation Formula
Perimeter of a Trapezoid Formula
Average Rate of Change Formula
Perimeter of a Triangle Formula
Axis of Symmetry Formula
Perimeter of a Hexagon Formula
Basic Math Formulas
Perimeter of Rectangle
Bayes Theorem Formula
Perimeter of Rhombus Formula
Binary Formula
Periodic Formulas
Binary to Decimal Formula
Permutation Formula
Binomial Distribution Formula
Permutations and Combinations Formulas
Binomial Expansion Formula
Perpendicular Line Formula
Binomial Probability Formula
Pi Formulas
Binomial Theorem Formula
Platonic Solids Formula
Calculus Formulas
Point Gradient Formula
Celsius Formula
Point of Intersection Formula
Central Angle of a Circle Formula
Point Slope Form Formula
Central Limit Theorem Formula
Poisson Distribution Formula
Centroid of a Trapezoid Formula
Polygon Formula
Chain Rule Formula
Polynomial Formula
Change of Base Formula
Population Mean Formula
Chi-Square Formula
Prime Number Formula
Circle Graph Formula
Prism Formula
Probability Distribution Formula
Probability Formulas
Product Rule Formula
Product to Sum Formula
Profit Formula
Profit Margin Formula
Proportion Formula
Pyramid Formula
Pythagorean Theorem Formula
Pythagorean Triples Formula
Quadratic Function Formula
Quadratic Interpolation Formula
Quadrilateral Formulas
Quartile Formula
Quotient Rule Formula
R Squared Formula
Radians to Degrees Formula
Radical Formula
Radius Formula
Radius of Curvature Formula
Rate of Change Formula
Ratio Analysis Formula
Ratio Formula
Rectangle Formula
Rectangular Parallelepiped Formula
Recursive Formula
Reduction Formula
Regression Sum of Squares Formula
Regular Hexagon Formula
Regular Square Pyramid Formula
Regular Tetrahedron Formula
Relative Frequency Formula
Relative Standard Deviation Formula
Resistors in Parallel Formula
Resultant Vector Formula
Retention Factor Formula
Revenue Formula
Rhombus Formula
Riemann Sum Formula
Right Angle Formula
Right Triangle Formula
Root Mean Square Formula
Rotation Formula
Sample Mean Formula
Sample Size Formula
Sampling Error Formula
Scalene Triangle Formula
Scientific Notation Formula
Secant Formula
Secant Square x Formula
Selling Price Formula
Sequence Formula
Sequences and Series Formulas
Series Formula
Set Formulas
Side Angle Side Formula
SignaltoNoise Ratio Formula
Simple Interest Formula
Simpson’s Rule Formula
Sin 30 Formula
Sin Cos Formulas
Sin Squared x Formula
Sin Tan Formula
Sin Theta Formula
Sin to Cos Formula
Sin 2x Formula
Sine Cosine Tangent Formula
Sine Formula
Sine Half Angle Formula
Sine Rule Formula
Skewness Formula
Slant Asymptote Formula
Slope Formula
Slope Intercept Form Formula
Slope of the Secant Line Formula
Sphere Formula
Spherical Cap Volume Formulas
Spherical Sector Formula
Spherical Segment Formula
Spherical Wedge and Spherical Lune Formula
Square Footage Formula
Square Formula
Square Root Formula
Square Root Property Formula
Standard Deviation Formula
Standard Error Formula
Standard Form Formula
Statistical Significance Formula
Statistics Formulas
Stirling Formula
Subtraction Formulas
Sum of Arithmetic Sequence Formula
Sum of Cubes Formula
Sum of Squares Formula
Summation Formula
Surface Area Formulas
Surface Area of a Cone Formula
Surface Area of a Cube Formula
Surface Area of a Cylinder Formula
Surface Area of a Prism Formula
Surface Area of a Pyramid Formula
Surface Area of a Rectangle Formula
Surface Area of a Rectangular Prism Formula
Surface Area of a Sphere Formula
Surface Area of a Square Pyramid Formula
Surface Area of a Triangular Prism Formula
Surface Area of a Circle Formula
Surface Area of Hemisphere Formula
Tan Theta Formula
Tan 2x Formula
Tangent 3 Theta Formula
Tangent Addition Formula
Tangent Circle Formula
Tangent Formula
Tangent Line Formula
Tangential Quadrilateral Formula
Taylor Series Formula
TDistribution Formula
Temperature Conversion Formula
The Distance Formula
The Probability Distribution Function Formula
Trajectory Formula
Trapezoid Formula
Trapezoidal Rule Formula
Triangle Formula
Triangular Pyramid Formula
Trigonometric Function Formulas
TTest Formula
U Substitution Formula
Uniform Distribution Formula
Unit Circle Formula
Unit Rate Formula
Unit Vector Formula
Variance Formula
Vector Formulas
Vector Projection Formula
Vertex of a Parabola Formula
Vieta’s Formula
Volume Charge Density Formula
Volume Formulas
Volume of a Cone Formula
Volume of a Cube Formula
Volume of a Cylinder Formula
Volume of a Pyramid Formula
Volume of a Rectangular Prism Formula
Volume of a Sphere Formula
Volume of a Square Pyramid Formula
Volume of a Triangular Prism Formula
Volume of an Ellipsoid Formula
Volume of Parallelepiped Formula
Weighted Average Formula
Weighted Mean Formula
X and Y Intercept Formula
X Intercept Formula
Y Intercept Formula
Z Score Formula

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