求出下面图形的体积，其底面为x轴和曲线 y=4-x^2围成，它的横截面是垂直于x轴的等边三角形，其中一边在底面上。这个题看起来还有点难，是高等数学里的二重积分问题
is an important application in finding the area in the plane(the two dimensional area).This means the application of integrals to the computation of areas in the plane can be extended to the three dimensional solid.We have another important application is computation of certain volumes in space....
To find the volume of a solid of revolution about thex-axis, use the horizontal✓ ◻ The representative rectangle is shown in the figure. The outer and inner radii of the solid areR(x)=◻andr(x)=0,respectively. By the washer m...
Calculus allows you to calculate the volume of conical objects by dividing the object into an infinite number of circular cross-sections - geometrical shapes resembling pancakes or washers - and adding up the volume of all those cross-sections through integration. Thi...
Find the volume of the solid formed by revolving the region bounded by {eq}\displaystyle y = \sin x {/eq} and the x-axis from {eq}x = 0 {/eq} to {eq}x = \pi {/eq} about the y-axis. Volume of a Solid: The volume of a s...
39. Find the volume of the solid obtained by revolving the region in the first quadrant bounded by the x-axis, the y-axis, and the line 4x+2y=8 about the x-axis. b a) 16元b)(32π)/3 c)(817)/(10)d) 3π√2 e) None of the above 相关知识点: 试题来源: 解析 b 反馈...
【解析】 It seems the solid is the result of rot ating the area bounded by y = x^4, y = 1, a nd y-aris (9n 1st quadrant) around y = 1 by 180 degrees. y = 1 and y = x^4, x^4 =1, x =1 At x (0 = x = 1), the radius of the cross -section is 1 - x^4, ...
How to Find the Volume of a Similar Solid Step 1:Find the ratio of the side lengths or dimensions of the two similar solids. Step 2:Cube the ratio from Step 1, which gives the ratio of the volumes of the two similar solids.
Find the volume of the solid formed by revolving the region under the curvey=x2+1fromx=0tox=2about thex-axis. The Volume of a Solid: For determining the volumeVof the solid formed by revolving the region under the curvey=f(x)fromx=ato...
一道英文数学题,.Find the volume of the solid generated by revolving the area between the curve y=cosx / x and the x-axis for π/6