L{ sin(at) * [1/2 ( 1 - cos(2at)]}
1/2 L{sin(at)} - 1/2 L{cos(2at)*sin(at)}
1/2 * (a^2)/(s^2 + a^2) - 1/2 L{cos(2at)*sin(at)}
The range of the graph is all real numbers.
The domain of the graph is all real numbers less than or equal to 0.
The range of the graph is all real numbers greater than or equal to 0.
Answer:
D
Step-by-step explanation:
only takes positive inputs and only outputs positive integers
The largest scale map is indicated by the representative fraction 1:1. Option A is correct.
In cartography, the representative fraction (RF) of a map indicates the scale of the map, specifically the ratio between a distance on the map and the corresponding distance on the Earth's surface. A larger RF value means a larger scale map, which represents smaller areas with more detail.
Now, let's compare the given options:
1. 1:1 - This RF means that one unit on the map represents one unit on the ground, essentially a one-to-one scale. It doesn't get any larger than this, so this is the largest scale possible.
2. 1:0 - This doesn't make sense in cartography because you cannot represent the Earth's surface with zero on one side of the ratio. It's an invalid option.
3. 1:1,000,000 - This RF indicates that one unit on the map represents one million units on the ground. This is a much smaller scale compared to 1:1, so it represents a much larger area with less detail.
4. 1:24,000 - This RF means that one unit on the map represents 24,000 units on the ground. While this is a larger scale than 1:1,000,000, it is still smaller than 1:1, which is the largest scale.
In summary, the largest scale map is represented by 1:1. Option A is the answer.
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Answer:
The representative fraction (RF) of a map indicates the scale of the map. In a representative fraction, the first number represents a unit of measurement on the map, and the second number represents the corresponding unit of measurement in the real world.
Among the options provided, a larger scale map would have a smaller second number because it means that one unit of measurement on the map represents a smaller unit of measurement in the real world. So, the largest scale map in the given options is:
1:24,000
In this case, 1 unit on the map represents 24,000 units in the real world, indicating a very detailed and large-scale representation of the area.
2) (0,4)
3) (1,-1)
4) (-3,3)