WebMar 24, 2024 · Find the number b such that the line y = b divides the region bounded by the curves y = 36x2 and y = 25 into two regions with equal area. (Round your answer to two decimal places.) b = 1 See answer Advertisement EnriquePires Answer: b = 15.75 Step-by-step explanation: Lets find the interception points of the curves 36 x² = 25 x² = 25/36 … WebFind the number b such that the line y = b bisects the area in part (a). Solution: Given, y = 1/x 2 for 1 ≤ x ≤ 4. 1) we have to find a such that the line x = a bisects the area under …
Find the number b such that the line y = b divides the region bounded ...
WebFeb 11, 2024 · The line y=b will certainly be somewhere in between the line y=4 and the bottom of the parabola, at y=0. Since this is an area problem, integrals are a natural way to approach it. WebFind the number b such that the line y = b divides the region bounded by the curves y = x 2 and y = 4 into two regions with equal area. Step-by-step solution 100 % ( 30 … feof fp2
Find the number $b$ such that the line $y=b$ bisects the are - …
WebFeb 10, 2007 · 1) Find the number "a" such that the line "x=a" bisects the area under the curve: y=1/x^2 , 1 is less than or equal to x which is less than or equal to 4. 2) Find the number b such taht the line "y=b" bisects the area in the previous problem. Thank you! This stuff is so hard! skeeter Elite Member Joined Dec 15, 2005 Messages 3,116 Feb 10, … WebApr 26, 2024 · Find the number b such that the line y=b divides the region bounded by y=0 and y=4-x^2 into two regions with equal area. I know how to graph it out but I have no idea what to do after that. calculus Share Cite Follow asked Apr 26, 2024 at 3:40 tortugaaaaaaaa 21 3 Add a comment 3 Answers Sorted by: 1 WebThe value of b is 1/4 (a) Find a To do this, we make use of: Rewrite as: Integrate Expand Collect like terms Take LCM Inverse both sides Multiply both sides by 2 Simplify (b) Find b In (a), we have: Multiply both sides by x^2 Divide through by y Take square roots So, the definite integral is: Rewrite as: Integrate Expand Divide through by 2 feof infile