Symmetry can be determined visually in a graph. If both graphs are mirror-image of each other, then both of the equations are symmetric. But, you can also determine it analytically through testing the symmetry. These are the rules:
If
f(r, θ) = f(r,-θ), symmetric to the polar axis or the x-axis
f(r, θ) = f(-r,θ), symmetric to the y-axis
f(r, θ) = f(-r,-θ), symmetric to the pole or the origin
Test for symmetry about the x-axis
f(r,θ): r=4 cos3θ
f(r,-θ): r = 4 cos3(-θ) ⇒ r = 4 cos3θ
∴The graph is symmetric about the x-axis.
Test for symmetry about the y-axis
f(r,θ): r=4 cos3θ
f(-r,θ): -r = 4 cos3θ
∴The graph is not symmetric about the y-axis.
Test for symmetry about the origin
f(r,θ): r=4 cos3θ
f(-r,-θ): -r = 4 cos3(-θ) ⇒ r = -4 cos3θ
∴The graph is not symmetric about the origin.
Answer:
Step-by-step explanation:
The most general form of this, without seeing any of the options, would be:
Again, there might have been a value outside the parenthesis that may or may not have been negative, but either way, this is the most basic translation of the parabola.
u have to bacsically divide for all of them
The answer would be 28 pages because 280 divided by 10% or .10 is 28
Answer:
<u>30 hours</u> it will take to fill the reservoir.
Step-by-step explanation:
Given:
Water is pouring down into a cuboidal reservoir at the rate of 60 liters per minute.
The volume of the reservoir is 108 m³.
Now, to find the number of hours it will take to fill the reservoir.
As given the rate is liters per minute so we convert the volume into liters:
1 m³ = 1000 liters.
Thus, 108 m³ = 1000 × 108 = 108000 liters.
So, the volume of reservoir = 108000 liters.
And the rate of water pouring down = 60 liters per minute.
Now, to get the number of hours to fill the reservoir:
Now, to convert the 1800 minutes to hours by dividing 1800 by 60 as 1 hour is equal to 60 minutes:
Therefore, 30 hours it will take to fill the reservoir.