The Attempt at a Solution. Miss you that our final answer place where is positive So this answer will make sense. 1/2 times 1/2 data squared that I read it. The curve forgiven is R equals square root of data. We were asked to find the area of this region. Find the area of the shaded region. Natural log of two pi minus pi plus one half. Find the area of the shaded region r e e. R = \sqrt{\ln \theta} $, $ \; 1 \leqslant \theta \leqslant 2\pi $. 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.
Try Numerade free for 7 days. 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.
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 see from our picture that the shaded region start at beta equals zero and ends at data equals two pi. But we can neglect those two points in her in a rural we'll still have the same into broke. The log of juan is zero, so that's gone. Find the area of the shaded region r.o. v. 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.
Ask a live tutor for help now. It follows that f is continuous for these values of theta as well. Solved by verified expert. A = integral from a to b 1/2r^2dθ. So we have a full rotation. SOLVED: Find the area of the shaded region. r = √(lnθ), 1 ⩽θ⩽ 2π. This problem has been solved! So you've got 1/2 wanted to pi square root of the natural log of data squared. Still have questions? R = 2 + \cos \theta $. Since F is both positive and continuous for the sector they follows at this area of the region is well defined. Gauthmath helper for Chrome. Grade 10 · 2022-04-11. And your are is the natural log.
Recall that area is a positive quantity. Does the answer help you? Just simply equal to hi Squared Check. Okay to find an area in polar coordinates? Provide step-by-step explanations. So you end up with pie. Create an account to get free access. Unlimited access to all gallery answers.
You do one half The integral A. Were given a curve in a shaded region bounded by this curb. Crop a question and search for answer. The integral of the log of theta is data log theta minus data. Here is a picture: Thank you for the help.
To B. R. Squared D. Theta. Enjoy live Q&A or pic answer. Check the full answer on App Gauthmath. So you get one half two pi natural log of two pi -2 pi -1 Log 1 -1.
Good Question ( 108). Get 5 free video unlocks on our app with code GOMOBILE. By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy. Gauth Tutor Solution.
So that makes Elena data. Since this is a square root function in our feta is always going to be positive. Enter your parent or guardian's email address: Already have an account? Feedback from students. R^2 = \sin 2 \theta $. Answered step-by-step. We solved the question!
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