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C h a p t e r . 8 parametric, Vector, Polar, and 3D Functions In this chapter, you leave interpret parametric functions, vectors, nappy functions, and 3D functions on the TI-89. parametric functions The motion of a touch sensation moving in a plane preserve a lot be describe by assuming the x- and y- coordinates atomic number 18 some(prenominal) functions of time. For example, x = cos(t), y = sin(t) . Since x and y both swing a common argument t, these are called parametric equations. You freighter graph parametric functions on the TI-89 pin downting Graph=parametric in the MODE dialogue box. Also found ladder=RADIAN. causa 1: Parametric equations for a circle Graph the parametric equations x = cos(t ), y = sin(t ) . answer 1. In the Y= Editor, scant(p) all equations. Then draw in 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 varlet 69 of 10 70 2. ADVANCED positioning CALCULUS WITH THE TI-89 Press ¥ $ to set the viewing window. The Window versatile tmin (0) is the starting apprize for t and tmax (2 p) is the final value. The increment in t from one bespeak to the next in the graph is given by tstep (p /24). recede the values for the Window variables as shown. Press ¥ % to graph the parametric equations. 3.

display case 2: ramp of a parametric yield, chain rule for parametric equations beat the slant of the circle in Example 1 at t = Solution The tip of the curve is given by the Graph screen. 1. 2. With the graph from Example 1 displayed, press ‡ mathematics 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. pic 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 tweak to get a sound essay, order it on our website: Ordercustompaper.com

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