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[DOC File]Tips for Beginners for the TI 89 Calculator
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key MODE Graph = 2: parametric. A parametric graph is made on the x-y axes by defining x = f(t) & separately y = f(t). Thus in parametric mode, you must type in a pair of equations. E.g. in Y= xt1 = sin 2t. yt1 = sin 3t. To view the graph of the above set x & y min/max = ±1 & use radian mode. You will get a pretty Lissajous figure.
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[DOC File]CALCULUS BC
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6. A curve C is defined by the parametric equations. (a) Find in terms of t. (b) Find an equation of the tangent line to C at the point where t = 2. 7. A curve C is defined by the parametric equations. (a) Find in terms of t. (b) Find an equation of the tangent line to C at the point where t =.
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Parametric Equations
Typically we express most graphs as a single equation which involves two variables, x and y. By using parametric mode on the calculator you may use three variables to represent a curve. Commonly, that third variable is t, time. This enables you to locate a point on a curve and know when it was there.
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[DOC File]AP Calculus Free-Response Questions
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AP Calculus Free-Response Questions Calculator Questions are Highlighted. 2000 420. The Taylor series about x = 5 for a certain function f converges to f(x) for all x in the interval of convergence. The nth derivative of f at x = 5 is given by f(n)(5) = , and f(5) = . a. Write the third-degree Taylor polynomial for …
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[DOCX File]Calendar Wizard
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10.2 TSW find the slope of a tangent line and the equation of a tangent line to a parametric equation. TSW calculate the area under the curve given a parametric equation. HW – …
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[DOC File]Lesson Plan #6
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Feb 01, 2012 · : Derivatives of Parametric Equations Aim: How do we find the derivative of parametric equations? Objectives: 1) Students will be able to graph parametric equations. HW# 41: 1) Find for. A) and B) and C) and . 2) The position of a particle moving along a straight line is given by . A) Find the interval(s) for which is increasing
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[DOC File]AP Calculus AB and BC
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Including both the definition of derivative and the alternate form of the definition (without the actual word derivative) and the normal line. Students will graph (by hand and with calculator) to see/show that the instantaneous rate of change is the slope of the tangent line. Materials . …
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[DOC File]AP Calculus BC Syllabus
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First derivative test for extrema. Concavity and points of inflection. Second derivative test for extrema. D. Optimization problems. E. Related rates. F. Visualizing motion using parametric equations and the calculator. G. Graphical antidifferentiation. Given a derivative of a function, sketch the original function. Given a function, sketch its ...
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[DOC File]Contemporary Report
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The time derivative for the velocity in (1) can be approximated by: Equation (1) then becomes: or, if we solve for the velocity at step n+1: , where the unknown is . Similarly, equation (2) becomes: and the position at step n+1 will given by: Solve the above equations for position and velocity and plot the position as a function of time.
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[DOC File]AP Calculus AB
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Concavity and the Second Derivative Test. Relating the graphs of . Limits at Infinity. Tangent line to a curve and linear approximations. A summary of Curve Sketching. Optimization Problems. Application problems including position, velocity, acceleration, and rectilinear motion. Parametric Equations. F, F’ Matching Activity . F, F’, F ...
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Derivative of parametric equation calculator