Derivative of parametric calculator
Activity overview:
This activity begins by describing the record breaking bungee jump. Students enter a parametric graph of the situation in their graphing calculators. If students have trouble entering the parametric equations, then direct them to change the calculator mode to parametric (press ( and change . Graph. to . 2:PARAMETRIC). Next, students are asked ...
[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 ...
[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 …
[DOCX File]MATHEMATICS - Council Rock School District
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It also includes limits, parametric equations, and some topics from statistics. Students must have the recommendation of their previous teacher. Juniors intending to take AP Calculus BC Level as seniors should elect this course and must maintain a “B” average throughout this course to do so. A graphing calculator is required for this course.
Syllabus for AP Calculus AB
The students are allowed to use their calculator to solve most of the integrals. By doing this, I am allowed to ask much more conceptually demanding problems and to make sure that they know how to use their calculators. Parametric, Vector, and Polar Calculus (~ 12 days) Parametric Graphing. Calculus of Parametric Curves.
[DOCX File]Brandywine Heights Area School District
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Standards. Essential Questions. Assessments. Skills. Content. Lessons. Resources. 1.D.1- Parametric, polar, and vector functions- The analysis of planar curves includes those in parametric form, and vector form.2.A.1- Derivative presented graphically, numerically, and analytically2.A.2- Derivative interpreted as an instantaneous rate of change2.A.3- Derivative defined as the limit of the ...
Parametric Equations
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. To begin, go to mode and set your calculator to Par, for parametric. We will be working in radians. Investigation. Now enter the graphs ...
[DOC File]Tips for Beginners for the TI 89 Calculator
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Parametric Graphs. To make a . parametric graph. 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.
[DOC File]CALCULUS BC
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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 =. _____ On problems 8 – 10, find: (a) in terms of t. (b) all points of horizontal and vertical tangency. 8. 9. 10. _____ On problems 11 - 12, a curve C is defined by the parametric equations given.
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