<u>Answer-</u>
<em>End behavior for increasing x represents that </em><em>the height of each bounce will approach 0.</em>
<u>Solution-</u>
From the graph the exponential equation is,
From the properties of negative exponential function properties, as x increases, the value of y decreases.
So, in this case, as x or number of bounce increases, y or the height of bounce decreases. And eventually the value becomes zero.
Therefore, end behavior for increasing x represents that the height of each bounce will approach 0.
Answer:
The answer is 135 degrees.
Step-by-step explanation:
As we are given the position. If we take the <u>derivative</u>, we get the velocity vector. If we take the <u>derivative</u> again, we find the acceleration vector of the particle.
At time t=0;
As i attach in the picture the angle between the velocity and acceleration vector is 
degrees
Logarithms are only able to make an equation linear if it is an exponential function. For example,
can be made linear by taking the natural logarithm of each side, causing it to become
. After some simplifying, you are left with
. You are then able to plot ln(y) vs. x to get a linear fit.
Answer:
Initial population of Rabbit = 5 rabbit
After 2 months
Population of Rabbit = 10
After 4 months
population of rabbit = 20
Formula for growth is :
G = ![G_{0}[1 + R]^n](https://tex.z-dn.net/?f=G_%7B0%7D%5B1%20%2B%20R%5D%5En)
, where G is final population and 
is initial population, and R is growth rate.
1. 10 = 5 [1 +R]²
Dividing both sides by 5 , we get
2 = (1 + R)²
→ R + 1 = √2 ⇒ taking positive root of 2
→R = √2 -1
Amount of rabbit after 1 year = 
