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Enter your parent or guardian's email address: Already have an account? Okay to find an area in polar coordinates? We were asked to find the area of this region. Still have questions? Create an account to get free access. But we can neglect those two points in her in a rural we'll still have the same into broke. Good Question ( 108). Since F is both positive and continuous for the sector they follows at this area of the region is well defined. Find the area of the shaded region r θ 2. R = 2 + \cos \theta $. By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy. It is given by the formula integral from 0 to 2 pi of 1/2 R squared D theta, which is equal to 1/2 integral from 0 to 2 by those fada data which is equal to take anti derivatives.
Does the answer help you? Natural log of two pi minus pi plus one half. A = integral from a to b 1/2r^2dθ. To B. R. Squared D. Theta. Unlimited access to all gallery answers.
It follows that f is continuous for these values of theta as well. I just need to know what parameters to use for a and b:). 1/2 times 1/2 data squared that I read it. Check the full answer on App Gauthmath. Feedback from students. Gauthmath helper for Chrome. Just simply equal to hi Squared Check. Try Numerade free for 7 days. The log of juan is zero, so that's gone. The curve forgiven is R equals square root of data. This problem has been solved! Find the area of the shaded region r θ 1. I know how to solve the question, I just don't know what to use for a and b. I tried 0 and 2pi but I am getting the wrong answer. Miss you that our final answer place where is positive So this answer will make sense. R^2 = \sin 2 \theta $.
Recall that area is a positive quantity. And your are is the natural log. Solved by verified expert. Therefore, we have that noticing that if we treat our as a function of theater, we see that seems Article two squared if data dysfunction is always greater than or equal to zero and therefore is a positive function except for at the end points of zero and two pi.
And we also have that f is. D. So you get one half dinner girl, 1-2 pi the square root squared. Zero and two pi is equal to one cor times two pi squared or four high square minus zero. Here is a picture: Thank you for the help. So we have a full rotation.
R = \sqrt{\ln \theta} $, $ \; 1 \leqslant \theta \leqslant 2\pi $. So you've got 1/2 wanted to pi square root of the natural log of data squared. You do one half The integral A. And we see from our picture that the shaded region start at beta equals zero and ends at data equals two pi. Y The graph of the polar curve r= θ is shown abov - Gauthmath. The Attempt at a Solution. Since this is a square root function in our feta is always going to be positive. Enjoy live Q&A or pic answer. We solved the question! Grade 10 · 2022-04-11. Answered step-by-step.
Were given a curve in a shaded region bounded by this curb. The integral of the log of theta is data log theta minus data. Ask a live tutor for help now.
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