Answered: 1. Test the polar equation for…

1. Test the polar equation for symmetry. Then, sketch a graph. r = 2sin 30 sin(30) r = 2sin 30 30 /6 "/4 */3 /2 2/3 37/4 S/6 T1/6 S/4 A7/3 37/2 5"/3 11/6 2n

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Basically the left of the graph has the rectangular form. On the left goes the polar form. I need you to show me the work on how to convert them.
Which of the following shows the correct sketch of the polar curve r = 9 sin(3 0)? 10 -10 5 10 -5 -10 10 5 b) -10 10 of
Find z1z2 in polar form. z1 = 5(cos(170)+i sin(170)) : z2 = (1/2) (cos(10)+i sin(10)
1. Transform the polar equation 4 cos 0 r = cos? 0 + 1 into its Cartesian form and identify the curve.
Graph the curves having the following polar equations. (a) r² = sin(20). Explain how the curve relates to the lemniscate of Bernoulli. (b) r = sin 30 and r = sin(40). Explain why the number of "petals" in the two curves are so different. (c) r = 1 + cos ("cardioid") and r = 1+2 cos(0) ("limaçon") Discuss the similar- ities and differences of the curves. For what values of does the limaçon intersect itself?
The equation can be rewritten in the following polar form: r = 1 r = −1 r cos(20) = 1 r cos(20) p² cos(20) = 1 p² cos(20) = -1 = -1 x² - y² = 1 none of the above
13. Convert the polar equation to rectangular coordinates. (a) 1- 2 cos 0 (b) r = 9 sin 0
4. Which of the following are polar coordinates of a point on the graph of r cos 0 ? (1.5) (os%5) (A) 1, (B) (0.5) 3 (C) (1, 7) (D) (05.24) 415- 1. (E) (1. TC 4.
1) (a) Circle ONE of the below equations and convert it from either polar to rectangular or rectangular to polar. 4 r = sin (e) -2x²y = 1
006 Find a Cartesian equation for the curve given by the polar equation r = 6 cos 0. 9 1. (x-3)² + y² 2. x² + (y + 3)² 9 3. (x+3)² + y² + 9 = 0 4. x² + (y + 3)² +9 = 0 5. (x+3)² + y² = 9 6. x² + (y - 3)² = 9 007 - 7. (x-3)² + y² + 9 = 0 8. x² + (y - 3)² +9 = 0 = Find a polar representation for the curve whose Cartesian equation is x² + (y + 1)² 1. = 1. r 2 cos 0 2. r 1 sin = 0 3. r = cos 0 4. r = sin 0 5. r + 2 sin 0 = 0 6. r = 2 sin 0 7. r + 2 cos 0 8. r 1 cos 0 0
4. An ant walks on a flat surface along a curve with polar equation r = 20 from a point where 0 =0 to another point where 0=27 rad. (a) Calculate the values of r for 0 equals to 0,4. 7, 3 and 27 radians, and hence make a sketch of the trajectory of the ant. (b) Determine the total distance travelled by the ant.
On the left side, the polar function r = 2 cos(0)+3 sin(0) is graphed. Enter a possible rectangular equation for this function into the box below. In the D2L Discussion Board, post this rectangular function that you found and explain how you know that this rectangular equation matches the above polar function. 5 HT/2 2TT/3 TT/3 5TT/6 TT/6, TT 画 Submit 7T/6 11 Tт/6 4TT/3 5TT/3- 3TT/2 5-