Parametric to cartesian calculator
[DOC File]What Is A Function
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Graphing calculator (optional) Concepts: Piecewise linear paths defined parametrically. Circular paths defined parametrically. Different motion along the same path. Using two graphs to parametrically define a path. Writing parametric equation in Cartesian form. Discussion: Suggest that students think of t as representing time.
[DOCX File]Mathematics Curriculum Map
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Calculator use is discouraged throughout Year 7 to encourage further fluency with the four basic operations of addition, subtraction, multiplication and division. ... Plot and read Cartesian coordinates. ... Parametric equations. Differentiating parametric equations. Integrating parametric equations.
[DOC File]First exam practice sheet
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Calculator (no TI-89 or 92) 3”(5” index card of notes Trigonometry formulas handout. Sample problems. Eliminate the parameter to express the equation in Cartesian form and sketch the curve. Eliminate the parameter to express the equation in Cartesian form and state the domain and range of the Cartesian …
[DOC File]Paper Reference(s)
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Figure 2 shows a sketch of the curve C with parametric equations, , 0 ≤ t ≤ (a) Find the gradient of the curve C at the point where t = . (4) (b) Show that the cartesian equation of C may be written in the form, a ≤ x ≤ b. stating values of a and b. (3) Figure 3
Parametric Conic Sections
Ask students to verify that the parametric definitions for and satisfy the Cartesian equation of an ellipse: Ask students to find values for and such that the graph is a circle. This can help students realize that a circle is a special case of an ellipse. Step 5—Making a Parametric Graph of a Hyperbola. 18.
[DOC File]Section 8 - OpenTextBookStore
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Converting from Parametric to Cartesian. In some cases, it is possible to eliminate the parameter t, allowing you to write a pair of parametric equations as a Cartesian equation. It is easiest to do this if one piece of parametric equations can easily be solved for t, allowing you to then substitute the remaining expression into the second part.
[DOC File]Section 8 - OpenTextBookStore
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The parametric equations show that when t > 0, x > 2 and y > 0, so the domain of the Cartesian equation should be limited to x > 2. To ensure that the Cartesian equation is as equivalent as possible to the original parametric equation, we try to avoid using domain-restricted inverse functions, such as the inverse trig functions, when possible.
[DOC File]More Parametric Concepts
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Eliminate the parameter in each of the above equations. You know what the graph should look like, so graph the Cartesian equation to check each new equation. III. Writing equations of common graphs: A) Lines: Writing parametric equations of lines are much like writing vector equations of lines. Consider how the x moves and then consider how y ...
PARAMETRICS YES
With calculator in parametric mode graph the following. Domain Range Function? 1. 2. 3. Compare the information determined in the chart. Can each of the graphs in parametric mode be graphed in the function mode? Why or Why not? With calculator in Parametric mode graph the …
[DOC File]Answers to “Why Do We Need Parametric Equations
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VII. In Cartesian form, the equation would be: y = (x + 2)2 + 1. In other words, we would subtract the (2 because it changed the x, but add the 1, because that changed the y. However, parametric equations are honest. The original parametric equations are. X = t and y = t2, and the translated ones are: x = t …
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