Question: The given curve is revolved about the y axis. Determine the area of the resulting surface.(a) x=24-y2,0≤y≤154(Ans: 3552π3 )(b) y=x22+12,0≤x≤1(Ans: (:2π3(222-1) )x=24-y2,0≤y≤154 (Ans:3552π3) (b)y=x22+12...
Find the exact surface area generated by rotating the curve about the {eq}y-axis {/eq} {eq}y = x^3 \ \ 0 \leq x \leq2 {/eq} Surface Area of Revolution Consider a function {eq}\displaystyle y= f(x) {/eq}.The given function...
Consider a function {eq}\displaystyle y= f(x) {/eq}.The given function is rotated about {eq}\displaystyle y- {/eq} axis. So surface area of revolution is found by taking a thin circular strip around the loop parallel to {eq}\displaystyle ...
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
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...
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-...
For the equation of the sphere x^2+y^2+z^2 = 4x - 2y, find the curve and radius. Answer the following questions about the sphere whose equation is given by (a) Find the radius 'r' of the sphere. (b) Find the ce...
y has a constant value of 0.02 units per second.Find the rate of increase of x when x = 1.(iii) The region between the curve,the x-axis and the lines x = 0 and x = 1 is rotated through 360?about the x-axis.Show that the volume obtained is12π 第三小问,我不是要翻译...第...
Answer to: Find the area of the surface generated when the given curve is revolved around the x-axis. y = \displaystyle \frac{1}{18} \left ( e^{9x}...
Answer to: The region bounded by the curves y = -x^2 + 17x - 72, y = 0; is rotated about the y-axis. Find the volume of the resulting solid. By...