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(a) Find parametric equations for the set of all points $ P $ as shown in the figure such taht $ | OP | = | AB | $. (This curve is called the cissoid of Diocles after the Greek scholar Diocles, who introduced the cissoid as a graphical method for constructing the edge of a cube whose volume is twice that of a given cube.)(b) Use the geometric description of the curve to draw a rough sketch of the curve by hand. Check your work by using the parametric equations to graph the curve.

(a) Equation of Cissod of dociles is $r=2 a\left(\frac{1}{\cos \theta}-\cos \theta\right)$$x=2 a \sin ^{2} \theta$ And $y=2 a \sin ^{2} \theta \tan \theta$(b) See Graph

Calculus 2 / BC

Chapter 10

Parametric Equations and Polar Coordinates

Section 1

Curves Defined by Parametric Equations

Parametric Equations

Polar Coordinates

Campbell University

Oregon State University

University of Nottingham

Idaho State University

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

04:56

Finding Parametric Equatio…

02:23

02:20

Sketch the curve of inters…

01:18

Find a set of parametric e…

02:00

01:58

01:56

If $ a $ and $ b $ are fix…

02:59

If $a$ and $b$ are fixed n…

03:22

Sketching a Curve by Elimi…

02:31

The accompanying figure sh…

for part a find a parametric equations for the set of our points. He has sure in the bigger such that Opie's it would be so here. We didn't notice. According it off. He is ex fly. So first we need to compute the last ofthe Opie Opie is he going to do? I'm Which is the call, too. Thank you, Toms. Hand data a Q is to o que halves sign there. So house tangent half hope he is equal to to a house Sign Veda school lawyer over course. I, Bela, on Behalf X is equal to Opie Hams coz I better which is equal to two eh terms. Sign the square. Why is he could hope he'd have a sign when she has come true to a times Sign this cube over cause I data but be used, Jew. My trick. A description of the curve, John. A rough sketch of the curve by hand. Check your work by using the parametric equations to graft the proof. So first, by using the group Jemaah trick description of the curse, we can see that a sketch of the curve is like this one. This one by using some graphic twice and let A is equal to one. We can draw up the Graff as follows. So here this is a cross.

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If $ a $ and $ b $ are fixed numbers, find parametric equations for the curv…

If $a$ and $b$ are fixed numbers, find parametric equations forthe curve…

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The accompanying figure shows the graphs of two parametric representations o…