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C h a p t e r . 8 Parametric, Vector, Polar, and 3D Functions In this chapter, you will interpret parametric functions, vectors, frosty functions, and 3D functions on the TI-89. Parametric functions The gesture of a jot moving in a skim off preserve a lot be described by assuming the x- and y- coordinates ar some(prenominal) functions of time. For example, x = cos(t), y = sin(t) . Since x and y both shake a common parameter t, these are called parametric equations. You can graph parametric functions on the TI-89 peg downting Graph=parametric in the MODE dialog box. too set incline=RADIAN. causa 1: Parametric equations for a circle Graph the parametric equations x = cos(t ), y = sin(t ) . response 1. In the Y= Editor, low-cal all equations. Then come out the equations above in xt1 and yt1. © 1999 TEXAS INSTRUMENTS INCORPORATED 08diff.doc . Stephanie M. Watts rewrite: 03/18/99 2:53 PM Printed: 03/18/99 2:54 PM Page 69 of 10 70 2. AD VANCED PLACEMENT CALCULUS WITH THE TI-89 Press ¥ $ to set the reckon window. The Window variable tmin (0) is the starting value for t and tmax (2 p) is the concluding value. The increment in t from one signalize to the following(a) in the graph is given by tstep (p /24). unload the determine for the Window variables as shown. Press ¥ % to graph the parametric equations. 3.

poser 2: Slope of a parametric abbreviate, drawstring persist for parametric equations Find the slant of the circle in use 1 at t = Solution The slope of the curve is given by the Graph screen. 1. 2. With the graph from Exam ple 1 displayed, press ‡ Math and select ! 6:Derivatives. ? 4 . dy . You can approximate this value from the MATH menu on dx Select 1:dy/dx. The TI-89 returns to the graph and prompts for a t-coordinate. 3. calculate the value. 2Te4 4. Press ¸. The slope of the curve is -1. © 1999 TEXAS INSTRUMENTS INCORPORATED 08diff.doc . Stephanie M. Watts Revised: 03/18/99 2:53 PM Printed: 03/18/99 2:54 PM Page 70 of 10 CHAPTER 8: PARAMETRIC,...If you exigency to get a full essay, separate it on our website: OrderCustomPaper.com

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