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On this study sheet, you’ll find most of the equations and formulas discussed in Math 105, including those used to solve distance, midpoint, quadratic and rate of change problems.

Circles, Cylinders and Spheres: Formulas

Area of a circle:

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area of a circle

Circumference of a circle:

circumference of a circle

Surface area of a cylinder:

surface area of a cylinder

Surface area of a sphere:

surface area of a sphere

Volume of a cylinder:

volume of a cylinder

Distance, Midpoint and Magnitude: Formulas

Distance formula:

distance formula

Midpoint formula:

midpoint formula

Magnitude formula:

magnitude formula

Linear and Point-Slope: Equations

Point-slope form of an equation:

point-slope form of a linear equation

Slope-intercept form of a linear equation:

slope-intercept form of a linear equation

Standard form of a linear equation:

standard form of a linear equation

Logarithmic Formula and Function

Change of base formula:

change of base formula

Logarithmic function:

logarithmic function

Maximum/Minimum of a Function

Maximum and minimum values of a function:

maximum/minimum values of a function

Parabolic Forms

Standard form of a parabola:

standard form of a parabola

Intercept form of a parabola:

intercept form of a parabola

Vertex form of a parabola:

vertex form of a parabola

Quadratic Equations and Formula

Standard form of a quadratic equation:

standard form of a quadratic equation

Vertex form of a quadratic equation:

vertex form of a quadratic equation

Quadratic formula:

quadratic formula

Rate of Change: Equations

Rate of change:

rate of change

Instantaneous rate of change:

instantaneous rate of change

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