0
Add your answer:
Earn +20 pts
A derivative is to the rate of change as an integral is to?
A derivative is to the rate of change asan integral is to area/volume.
How to show that the rate of change of the volume of a cube with respect to the length of its edges is equal to have the surface area of the cube?
If the length of an edge is x, the volume is x3 To find the rate of change of the volume with respect to x, differentiate: d(x3)/dx = 3x2 The area of one face is x2 There are six faces so the total surface area is 6x2 Therefore the rate of change of volume, 3x2 , is half of 6x2 , the surface area.
How can two cylinders have the same surface area but different volume?
Change in height and circumference
How do you convert Square centimeter to Cubic centimeter?
Square Cm is a unit of Area. Cubic Cm is a unit of volume. You can't change areas into volumes, just as you can't change weight into length. They are different types of measurement. . If you know the size of an area, and if, and only if, that area has a thickness that you can measure, then you can calculate the volume. But, you do not 'convert' it to a volume, you calculate it's volume . To calculate volume you need 3 measurements, length, width, height. To calculate area you need only 2 measurements , length ,and width.
How can you obtain a cell's ratio of surface area to volume?
To obtain the ratio of surface area to volume, divide the surface area by the volume.
How does cell's ratio of surface area to volume change as the cell grows larger?
because it has the surface area of volume
What happens to the surface area and volume when the height of a three-dimensional solid is doubled?
The change in the surface area depends on the shape. The volume will double.
A derivative is to the rate of change as an integral is to?
A derivative is to the rate of change asan integral is to area/volume.
How does a cell's ratio of surface area to volume change as the cell grews large?
It will decrease. In a larger cell, you have less surface area per volume.
How does the surface area change compared to the volume as a cell gets larger?
Surface area increases as the square of the diameter, whereas the volume increases by the cube.
How to show that the rate of change of the volume of a cube with respect to the length of its edges is equal to have the surface area of the cube?
If the length of an edge is x, the volume is x3 To find the rate of change of the volume with respect to x, differentiate: d(x3)/dx = 3x2 The area of one face is x2 There are six faces so the total surface area is 6x2 Therefore the rate of change of volume, 3x2 , is half of 6x2 , the surface area.
How does it surface area to volume ratio change as the cell gets bigger?
As a cell gets bigger, its volume increases more rapidly than its surface area. This results in a decreased surface area to volume ratio. A smaller surface area to volume ratio can affect the cell's ability to efficiently exchange nutrients and wastes with its environment.
How can two cylinders have the same surface area but different volume?
Change in height and circumference
How does a cell's ratio of surface area to volume change as the cell grows larger?
As a cell grows larger, its volume increases faster than its surface area, leading to a decrease in the surface area-to-volume ratio. This can limit the cell's ability to efficiently exchange materials with its environment, affecting its overall functioning.
What are the three types of heat expansions?
The three types of heat expansions are linear expansion (change in length), area expansion (change in area), and volume expansion (change in volume). Each type of expansion relates to a different physical property of the material when subjected to a temperature increase.
How do you convert Square centimeter to Cubic centimeter?
Square Cm is a unit of Area. Cubic Cm is a unit of volume. You can't change areas into volumes, just as you can't change weight into length. They are different types of measurement. . If you know the size of an area, and if, and only if, that area has a thickness that you can measure, then you can calculate the volume. But, you do not 'convert' it to a volume, you calculate it's volume . To calculate volume you need 3 measurements, length, width, height. To calculate area you need only 2 measurements , length ,and width.
If a liquid is poured from a tall bottle into a shallow pan does its shape or volume changes?
The shape of the liquid will change due to the wider surface area of the shallow pan, but the volume of the liquid will remain the same.
