Answer:
Square, rectangle and trapezoid are use to make an octagon.
Step-by-step explanation:
We need to find how to make an octagon with 3 smaller shapes. We can make an octagon using three shapes : rectangle , square and trapezoid.
Square is a quadrilateral with four sides equal .
Rectangle is a quadrilateral with opposite sides equal .
Trapezoid is a quadrilateral with one pair of opposite sides parallel.
Place a square in the central/middle of the octagon. Then place two rectangles on the top and bottom of the square and finally complete the octagon by placing two trapezoids on the left and the right of the square.
Answer: The end behavior of the given function is,
as
And, as
Step-by-step explanation:
Since, by the property of the graph of the exponential function,
If an exponential function is,
If b >1 ( increasing function ) then its end behavior is,
as
And, as
While b < 1 ( decreasing function, then its end behavior is,
as
And, as
Here, given function is,
Since 5 > 1
Therefore, the end behavior of the given function is,
as
And, as
Answer:
0
Step-by-step explanation:
From your problem, we have to extract the information that are important from the first two intregrals so we can solve the double integral.
We also have that:
---------------------------------
With this, now we can solve the double integral.
Since the limits of integration are constant, i can use dA both as dydx or dxdy. I am going to use dydx.
So the double integral will be:
We solve a double integral from the inside to the outside, so the first integral we solve is:
f is a function of x and we are integrating dy, so this means that f is a constant. Our integral now is this:
From above, we have that
So,
Now we have to solve the outside integral:
We know that
So the double integral will be 0
