Let's put more details in the figure to better understand the problem:
Let's first recall the three main trigonometric functions:
For x, we will be using the Cosine Function:
Therefore, x = 8√2.
For y, we will be using the Sine Function.
Therefore, y = 8√2.
Answer:
Parabola with vertex at point (1,0) that goes to the right (see attached diagram).
Step-by-step explanation:
Let the complex number z be
then
and
Thus,
Square it:
This is the equation of parabola with vertex at point (1,0) that goes to the right.
PART A (1 in diagram)
Each mapping diagram represents a function because none of the elements in the inputs maps on to two different elements in the outputs.
1. The domain of the given function f(x) is the set {10, 20, 30}.
All we can say about
is that, it has a range of {10, 20, 30}.
This is because the domain of a function becomes the range of its inverse function.
2. If the graph of a function f(x) includes the point (3, 0), then the graph of the inverse function ,
will contain the point (0,3).
Reason:The point on the graph of the inverse function is obtained by reflecting the corresponding point on the graph of the function in the line y=x. We just have to swap the coordinates.
In simple terms the domain of the function becomes the range of the inverse function and vice versa.
3. If the first term in an arithmetic sequence is 2.
Then we have a=2.
If the twelfth term is 211, then
Put a=2 into this equation.
Solve for d.
If
then
Substitute a=2 and d=19
Therefore n=8