Hi there, please help me with answering this question. I am a bit confused here. It would be appreciated if the question were answered fully and clearly with explanation. Please read the question carefully because sometimes my questions are answered incorrectly and unfortunately I do not receive a refund for them. Please answer with legible handwriting as well. Thank you very much. Thumbs up always given for well explained answers 5. This problem will walk you through using integration to find the formula for anarea of a circle:a) The equation of a circle of radius 1 with center at origin is x² + y² :Using this find the equation of the part of the circle that lies only on Quad-rant 1. (Hint: It will look like= 1.y.)b) Since integration of a function f(x) gives the area under the curve, the in-tegration of the expression you found above will give the area of the part ofthe circle in quadrant 1. So that the area will bey dx, where y is the expression you found in part (a). You need to figure outthe limits of the integral a and b - to do that look at your graph andsee how x varies, x goes from .. to ....c) To evaluatey druse the substitution x = sin(u). Recall that 1– sin2(u) = cos²(u) from trig.Using that translate integral entirely in terms of u - make sure to changethe limits of the integral as well.d) If all has gone well so far, you will end up having to find the integral ofcos u) with limits that you found in part (b). To find this integral, use an1+ cos(2u)Replace cos'u) by itidentity from trig that says cos²(u)equivalent, integrate and put in the limits. This is area of the part of thecircle in Quadrant 1.e) Therefore the area of the entire circle =

equation of circle x^2+y^2=1 y^2=1-x^2 y=±1-x2 according to question circle lies only 1 quadrant so…

5. This problem will walk you through using integration to find the formula for an area of a circle: a) The equation of a circle of radius 1 with center at origin is x2 + y² = 1. Using this find the equation of the part of the circle that lies only on Quad- rant 1. (Hint: It will look like y = ...) b) Since integration of a function f(x) gives the area under the curve, the in-

5. This problem will walk you through using integration to find the formula for an area of a circle: a) The equation of a circle of radius 1 with center at origin is x2 + y² = 1. Using this find the equation of the part of the circle that lies only on Quad- rant 1. (Hint: It will look like y = ...) b) Since integration of a function f(x) gives the area under the curve, the in-

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

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