英文修改!关于数学的报告.希望能帮的帮我一下T T

英文修改!关于数学的报告.希望能帮的帮我一下T T
The purpose of this investigation is to model a functional building with a roof structure similar to the one shown below:
The building has a rectangular base 150m long and 72m wide.The maximum height of the structure should not exceed 75% of its width for stability or be less than half the width for aesthetic purposes.The minimum height of a room in a public building is 2.5m.In this investigation,a model of for the curved roof structure will first be created with the given specifications.Then,the dimensions of the cuboid with maximum volume which would fit inside the roof structure will be investigated.Next,the ratio of the volume of the wasted space to the volume of the office block and the maximum office floor area in block will be calculated for each height.After that,the office space will be maximised even further by having the block in the shape of multi-cuboids.Finally,the increase in floor area and the volume ratio of wasted space to office block will be calculated.The thickness of wall and floor will exist in reality but it is ignored in this investigation.
Create a Model
By observation,the shape of the curved roof structure could be two kinds of possible function:parabola and cosine function.The general equation of a parabola is y=ax^2+bx+c and the general equation for a cosine functions is y=a cos⁡〖(kx)+b〗.
Parabola Equation:
Substitution Method:Since the range is -36 and 36,the axis of symmetry of the equation is at the origin,and the height of the structure is 36m,we can get points (-36,0),(36,0) and (0,36).
Standard form of the parabola formula:y=ax^2+bx+c
Function Transformations Method:
Vertex form of equation of a parabola:
y=a(x-h)^2+k,where (h,k) is the vertex of the parabola.
Since the parabola is upside down,y=-a(x-h)^2+k.
Since the y axis is the axis of symmetry,h=0.Therefore,y=-ax^2+k.
The height of the building is 36,which means k=36
The range is -36 and 36 since the width is 72.Thus,a is 1/36.
这是其中的一段,不是全部.要是有好心人愿意帮我全部都改感激不尽!但是愿意帮我改这一段也万分感谢了T

The purpose of this investigation is to model a functional building with a roof structure similar to the one shown below:
The building has a rectangular base 150m in length and 72m in width.The maximum height of the structure should not exceed 75% of its width for stability or shall less than half of the width for aesthetic purposes.The minimum height of a room in a public building is 2.5m.In this investigation,a model for the curved roof structure will be firstly created with the given specifications.Then,the dimensions of the cuboid with maximum volume which would fit inside of the roof structure will be investigated.Next,the ratio of the volume of the wasted space to the volume of the office block and the maximum office floor area in block will be calculated for each height.After that,the office space will be maximised even further by having the block in the shape of multi-cuboids.Finally,the increasing in floor area and the volume ratio of wasted space to office block will be calculated.The thickness of wall and floor will exist in reality but it is ignored in this investigation.
Create a Model
By observation,the shape of the curved roof structure could has two kinds of possible function:parabola and cosine function.The general equation of a parabola is y=ax^2+bx+c and the general equation for a cosine functions is y=a cos⁡〖(kx)+b〗.
Parabola Equation:
Substitution Method:Since the range is -36 and 36,the axis of symmetry of the equation is at the origin,and the height of the structure is 36m,we can get points (-36,0),(36,0) and (0,36).
Standard form of the parabola formula:y=ax^2+bx+c
Function Transformations Method:
Vertex form of equation of a parabola:
y=a(x-h)^2+k,where (h,k) is the vertex of the parabola.
Since the parabola is upside down,y=-a(x-h)^2+k.
Since the y axis is the axis of symmetry,h=0.Therefore,y=-ax^2+k.
The height of the building is 36,which means k=36
The range is -36 and 36 since the width is 72.Thus,a is 1/36.
翻得可以,要对自己有信心