alexcarrasco8676 alexcarrasco8676
  • 08-08-2017
  • Mathematics
contestada

Calculate the area of the circle r = 6 sin ? as an integral in polar coordinates. be careful to choose the correct limits of integration

Respuesta :

jbmow
jbmow jbmow
  • 08-08-2017
r2=x2+y2 and sin(θ)=y/r

Therefore,

r=SQRT(x2+y2)

and 6sin(θ)=6yr

The original equation turns into:

SQRT(x2+y2)=6y/r

or  x2+y2=6y

Completing the square turns this into x2+(y−3)^2=9

, a circle centered at (0,3) with a radius of 3

The area of that circle is 9π


Answer Link

Otras preguntas

Europeans knew Süleyman as "Süleyman the Magnificent." A. True B. False
As instructor grades exams, 30%; term paper, 20%; and final exam, 50%. A student had grades of 75,80, and 85, respectively, for exams, term paper, and final exa
what number is 12 more than 43
Which two options could be the next step in simplifying this expression? 27 + (3 + 41) A. 27 + 44 (use order of operations) B. 30 + 68 (use the distributive p
Where is Buddhism widely practiced today? A. India B. South Korea C. Malaysia D. Cambodia
what 3 things did the Spanish explorers look for?
Which is an important civil right that people living in U.S. territories do not have? A. electing the U.S. president B. attending U.S. colleges and universiti
What is the missing exponent (10^6)^_=10^-18
Mark each description if it is a feature of ancient Indus cities. A. a sanitation system B. huge structures that served as temples C. a large, central building
Reggie picked 3 3/4 quarts of blueberries and 4 1/3 quarts of raspberries at a fruit farm. About how many total of berries did he pick?