How to write parametric equation
[DOC File]Pre-Calculus Parametrics Worksheet #2
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Write parametric equations which will give the graph in part (a) a vertical stretch by a factor of 2 and move the graph 5 units to the right. (Hint: Verify on your calculator!) d) Write parametric equations that will rotate the original graph 60° CCW. 17. For the curve (x + 5)2 + y2 = 4 complete the following:
[DOC File]Graphing Parametric Equations
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What’s the equation of a unit circle centered at the origin? How do we give an equation for just part of the circle? Today, we will learn a new way to write equations for curves using parametric equations to make defining parts of curves easier! (Graph the curve: x = t2 + t, y = 2t-1 . Graph the curve: x = t2 + t, y = 2t-1 where -1 < t < 1.
[DOC File]Answers to “Why Do We Need Parametric Equations
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The original parametric equations are. X = t and y = t2, and the translated ones are: x = t (2 and y = t2 + 1. In order to eliminate the parameter, we’d need to solve the first equation for t and substitute that into the equation for y. So x + 2 = t and y = (x + 2)2 + 1. In solving the x equation …
Parametric Equations
Now write an equation for this problem using only x and y. Compare the graphs. What are the differences and the similarities? Activity. Because the parametric mode gives not only a picture but also an orientation, sometimes the results when tracing can be surprising. Graph the following and then trace. Set your window as follows.
[DOC File]What Is A Function
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Students are then given parametric equation that contain sine and cosine function and asked to describe the path and to write the Cartesian equation that would give the same path. As extra credit, students may find parametric equations that represent their initials. Estimated Time Required: This activity should take approximately 20 minutes.
[DOC File]Pre-Calculus Parametrics Worksheet #2
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d) Write parametric equations which will give the graph in part (a) a vertical stretch by a factor of 2 and move the graph 5 units to the right. (Hint: Verify on your calculator!) Problems 10-11: Write a new set of parametric equations with the following transformations for x = t4 – …
[DOC File]Pre-Calculus Parametrics Worksheet #2
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Write your own real life application problem in which you would use parametric equations to solve it. (Hint: look at the last two pages of questions!!!) Write a description of the situation, giving any needed information to create the set of equations. Write at least 3 questions related to your description.
[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 …
[DOC File]Honors Precalculus Final Exam Review B
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Write the parametric equation. How far horizontally will the rocket have traveled in 1.5 seconds? How long will it take the rocket to land? 54. A tree casts a 45 foot shadow. The angle of elevation of the sun is 57°. Sketch a picture. Label the angle of elevation. 55. Resolve a vector with magnitude 10 and direction 220° with the horizontal ...
Problem 1 – Introduction to Parametric Equations
Write parametric equations to model the motion of the ball. x(t) = y(t) = To graph the parametric equations on the graphing calculator, press ( and select . DEGREE. and . PARAMETRIC. as seen to the right. Now, press ( and enter the two parametric equations from Question 2, in . X1(T) and . Y1(T). Set an appropriate window and press ( to view ...
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