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Use a graphic calculator or computer to reproduce the picture.

Big circle: It's centered at (2,2) with a radius of $2,$ so by Example $4,$ parametric equations are\[x=2+2 \cos t, \quad y=2+2 \sin t, \quad 0 \leq t \leq 2 \pi\]Small circles: They are centered at (1,3) and (3,3) with a radius of $0.1 .$ By Example $4,$ parametric equations are(left) $x=1+0.1 \cos t, \quad y=3+0.1 \sin t, \quad 0 \leq t \leq 2 \pi$AND(right) $\quad x=3+0.1 \cos t, \quad y=3+0.1 \sin t, \quad 0 \leq t \leq 2 \pi$Semicircle: It's the lower half of a circle centered at (2,2) with radius $1 .$ By Example $4,$ parametric equations are\[x=2+1 \cos t, \quad y=2+1 \sin t, \quad \pi \leq t \leq 2 \pi\]To get all four graphs on the same screen with a typical graphing calculator, we need to change the last $t$ -interval to $[0,2 \pi]$ inorder to match the others. We can do this by changing $t$ to $0.5 t$. This change gives us the upper half. There are several ways toget the lower half-one is to change the " $+"$ to a "- " in the $y$ -assignment, giving us$x=2+1 \cos (0.5 t), \quad y=2-1 \sin (0.5 t), \quad 0 \leq t \leq 2 \pi$

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 Michigan - Ann Arbor

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

01:01

Use a graphic calculator o…

02:33

$29-30=$ Use a graphing ca…

03:43

02:27

Use a graphing device to p…

02:04

01:41

Copy and draw rays to figu…

00:41

Use a graphing calculator …

00:35

01:06

00:13

Use the diagram.Classi…

the problem. Nous use a graphic calculator or a computer to reproduce the picture. No. Thirty five. This picture. Now let's look at how to to produce this picture. So first we can use this power. My tricky questions, your job, a big circle. And then you this herma trick questions Jonah half circle and then we use this to Parametric equations Job, Truth mall so close.

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In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

$29-30=$ Use a graphing calculator or computer to reproducethe picture.<…

Use a graphing device to produce a graph that looks like the given one.

Copy and draw rays to figure out the final image.

Use a graphing calculator to verify Exercise $12 .$

Use a graphing calculator to verify Exercise 46

Use a graphing calculator to verify Exercise 6

Use the diagram.Classify the figure.CAN'T COPY THE FIGURE

05:52

If a water wave with lenght $ L $ moves with velocity $ v $ across a body of…

05:20

(a) Find the Taylor polynomials up to degree 3 for $ f(x) = tan x $ center a…

02:13

Show that the curve with parametric equations $ x = t \cos t $, $ y = t \sin…

04:17

The view of the trefoil knot shown in Figure 8 is accurate, but it doesn…

01:43

(a) Sketch the plane curve with the given vector equation.(b) Find $ r^\…

02:08

Describe the motion of a particle with position $ (x, y) $ as $ t $ varies i…

02:07

Find the Maclaurin series of $ f $ (by any method) and its radius of conver…

01:02

Find the sum of the series.

$ \sum_{n = 0}^{\infty} \frac {(-1)^n \p…

05:59

Prove Taylor's Inequality for $ n = 2, $ that is, prove that if $ \mid …

05:57

If a diver of mass $ m $ stands at the end of a diving board with length $ L…

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The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

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