Parametric equations examples with answers
[DOC File]Worksheet: Piecewise Functions
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Piecewise Functions. Evaluate the function for the given value of x. Match the piecewise function with its graph. Graph the function. 19. 20.
[DOC File]Paper Reference(s)
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A curve has parametric equations. x = tan2 t, y = sin t, 0 < t < . (a) Find an expression for in terms of t. You need not simplify your answer. (3) (b) Find an equation of the tangent to the curve at the point where t = . Give your answer in the form y = ax + b , where a and b are constants to be determined. (5)
[DOC File]AP Calculus BC Syllabus
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Chapter 9: Plane Curves, Parametric Equations, and Polar Curves (3 Weeks) Plane curves and parametric equations. Parametric equations and calculus. Parametric equations and vectors: motion along a curve, position, velocity, acceleration, speed, distance traveled. Analysis of curves given in parametric and vector form. Polar coordinates and ...
[DOCX File]MATH 201 – CALCULUS I
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Graph parametric equations using a calculator. Find derivatives of graphs defined parametrically. Find area enclosed by graphs defined parametrically. Find arclength of curves defined both parametrically and by y as a function of x. Find curvature of graphs defined both parametrically and by y as a function of x.
[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 – 3 and y = 2t . …
[DOC File]Section 8
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Try it Now Answers & 2. Section 8.5 Parametric Equations. Many shapes, even ones as simple as circles, cannot be represented in a form where y is a function of x. Consider, for example, the path a moon follows as it orbits around a planet which simultaneously rotates around a sun.
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