you got more curves than a race track如题

Find the centroid of the region bounded by the given curves.
1.y=4x,x=7,x-axis
2.x+8y=8,y-axis,x-axis
3.y=7x,y=28,y-axis
4.y=x^2-16x,x-axis
5.16x-x^3,x-axis,第一象限
6.y=26x-x^2,y=x

英语翻译
The damage
resistance and R-curves behavior of the B4C monolith and the B4C/BN composites were evaluated
by the indentation-strength in bending technique (ISB).

英语翻译
Find the x-intercepts on the following curves using factorisation
Find the x-intercepts on the following curves using the quadratic formula

英语翻译
Except where superelevation of curves directs all water toward the inside,slopes usually fall in both directions form the center line of two-lane highways.For high-type pavements,this cross slope(or crown) is often 1/8 in.per foot to 1/4 in.per foot.For cheaper pavements constructed to less exceting standards the cross slope is greater.On paved shoulders cross slope are usually greater ,in the range of 3/8 in.to1/2 in .per foot .For gravel and turb even greater slopes are needed for satisfactory drainage
不要软件翻译的啊

求翻译 approach and retraction curves
估计是什么和收缩曲线的意思 就是approach不知道怎么翻译过来,跪求解释,我爱你

Constant cost production possibility curves 跟 Increasing cost production possibility curves怎么画
Constant cost production possibility curves 跟 Increasing cost production possibility curves是怎么样的曲线吖 为什么百度都搜索不出来这样的术语!

关于A LEVEL数学题的解答
y=x的2次方,y=x(x的方-1）;
1.sketch the two curves on the same axes
2.state the number of points of intersection
3.write down a suitable equation which would give the x-coordinates of these points.(you are not required to solve this equation.)
解答第三问,不需要翻译.我有些搞不明白怎么回事.

定积分求体积
Sketch the region Ω bounded by the curves and use the shell method to find the volume of the solid generated by revolving Ω about the y-axis.
x=|y|,x=2-y^2

英语翻译
geometry of shallow curves
to establish the geometric relationships required to derive the differential equation of the elastic curve,we will consider the deformations of the cantilever beam in Fugure9.1a.
the deflected shape is represented in Figure9.1b by the displaced position of the longitudinal axis(also called the elastic curve).as reference axes,we estabilsh an x-y coordinate system whose origin is located at the fixed end.for clarity,vertical distances in this figure are greatly exaggerated.slopes,for example,are typically very small--on the order of a few tenths of a degree.if we were to show the deflected shape to scale,it would appear as a straight line.
to establish the geometry of a curved element,we will consider an infinitesimal element of length ds located a distance x from the fixed end.as shown in Figure9.1c,we denote the radius of the curved segment by p.angle between these tangents is denoted by dФ.since the tangents to the curve are perpendicular to the radii at points A and B,it follows that the angle between the radii is also dФ.the slope of the curve at point A equals
if the angles are small(tanФ≈Ф radians),the slope can be written
from the geometry of the triangular segment ABO in figure9.1c,we can write
dividing each side of the equation above by ds and rearranging terms give
where dФ/ds,representing the change in slope per unit length of distance along the curve,is called the curvature and denoted by the symbol Ф.since slopes are small in actual beams,ds≈dx,and we can express the curvature in equation9.3 as

Warning:Trim:changed to keep originals on; curves on surface have construction history with the d