Cartesian to parametric calculator
Parametric Conic Sections - Texas Instruments
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
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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.
Activity overview:
Students then graph an ellipse using the Cartesian equation and discuss the shortcomings of this method. Problem 2 develops the concept of a parametric curve by using a data capture to discover the coordinate equations of an ellipse. Problem 3 applies these equations to model of the orbit of Jupiter. Topic: Conics & Polar Coordinates
[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
[DOC File]Section 8
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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]Computer Mathematics and the Graphing Calculator
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A graphing calculator will never be mistaken for a computer. There are obvious differences. ... Let P and Q be two points on a non-vertical line in the Cartesian plane. Given the . coordinates of P(xp, yp) and Q(xq, yq), compute the slope of the line through P and Q, the ... From the MODE select Par for parametric on the 4th line down. Press [Y ...
[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.
[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 = …
[DOC File]Calculus 2 Lecture Notes, Section 9.1
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Create two sets of parametric equations to graph the equation x2 + y3 – 2y = 3 by setting y = t. Notice that even though two sets of parametric equations are required, they at least provide a way to graph this equation without solving for y, as required by a graphing calculator (Winplot can …
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