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Free Precalculus worksheets created with Infinite Precalculus. Printable in convenient PDF format.
Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Arithmetic Sequences and Series Name_____ Date_____ Period____-1-Determine if the sequence is arithmetic. If it is, find the common difference, the 52nd term, the explicit formula, and the three terms in the sequence after the last one given.
Use the information provided to write the general conic form equation of each circle. 13) . x y x y . x y x y . Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.com.
I. Determine the period, phase shift, and vertical shift, if any, of each function. 1. yx 4sec3( )S Vertical Stretch _____Period Vertical_____ Phase Shift _____ Shift _____ 2. yx 2csc2( )S Vertical Stretch _____Period Phase_____ Shift Vertical_____ Shift _____ 3. sec 4 yx §·S ¨¸ ©¹
PreCalculus Formulas. Sequences and Series: Binomial Theorem. ( a + = b ) n ∑. n ⎛ ⎞ n ⎜ ⎟ a n k bk −. k = 0 ⎝ ⎠ k. Find the rth term. ⎛ ⎞ n. − − 1) br. − 1 ⎜ ⎟ a n ( r. ⎝ − r 1 ⎠. Functions: To find the inverse function: Set function = y. Interchange the variables. Solve for y. Arithmetic Last Term. = + − a. 1 ( n 1) d. Geometric Last Term. −.
A periodic function is a function for which a specific horizontal shift, P, results in the original function: f ( x + P ) = f ( x ) for all values of x. When this occurs we call the smallest such horizontal shift with P > 0 the period of the function.
Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Parametric Equations Name_____ Date_____ Period____-1-Sketch the curve for each pair of parametric equations. 1) x t, y t x y
