Find the surface area obtained by rotating the curve x = 4 y y 2 , 1 (= y (= 2 about the y-axis. Find the area of the surface obtained by rotating the curve, y = 1+4x^2 from x=0 to x=8 about the y-axis. Find the area of the sur...
Find the surface area generated when the curve y = \sqrt x in the interval [0,3] is rotated about the x-axis. Find the surface area of the curve: y = 0.25x^2 - 0.5ln x on the interval [1, 3] when rotated about the y-axis. Find the area of the ...
关下 帮我解一道英语的数学题关下 关下 the area bounded by the curve y=x^2 and the line y=4 generate various solids of revolution when rotated as follows关下 关下 1.about the line y=4关下 关下 2. about the y-axis关下 关下 3.about the x-axis关下...
帮我解一道英语的数学题the area bounded by the curve y=x^2 and the line y=4 generate various solids of revolution when rotated as follows1.about the line y=42. about the y-axis3.about the x-axis
Answer to: Calculate the exact area of the surface obtained by rotating the curve about the x-axis. x = 2 + 3y^2, 1 less than or equal to y less...
Find the volume when the region is rotated: about the x-axis and y-axis. Find the area enclosed by the given curves Find the area of the region between the curve y = 3^{2-x} and the interval 0 \leq x \leq 2 on the x-...
the area bounded by the curve y=x^2 and the line y=4 generate various solids of revolution when rotated as follows1.about the line y=42. about the y-axis3.about the x-axis 扫码下载作业帮搜索答疑一搜即得 答案解析 查看更多优质解析 解答一 举报 题目:由曲线y=x²和直线y=4围成的区域...
To find the area of the surface of revolution, we can use the formula: A = 2π∫y√(1+(dy/dx)^2)dx In this case, we are revolving the curve about the x-axis, so we will use the formula: A = 2π∫y√(1+(dy/dx)^2)dx where y is the function of x...
find the solid volume of area bounded by the curve y=x^2 and the line y=4 generates rotated by y-axis~It is a calucus problem.V = integration symbol(0 to 4) A(y)dy = integration symbol(0 to 4) pi * y^(1/2) dy = 2/3 pi * y^(3/2) ](0 to 4) = 16/3 pi - 0...
{eq}\int 2\pi y ds. {/eq} this formula is applicable when the curve is rotated about the x-axis. Answer and Explanation:1 Given function is : {eq}y= \sin \frac{\pi x}{9}, \ \ 0 \leq x \leq 9\\\ y'=\frac{\pi}{9} \cos(...