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