For this case we have the following difference equation:
Applying separable variables we have:
Integrating both sides we have:
applying exponential to both sides:
For y (1) = 1 we have:
Thus, the particular solution is:
Whose domain is all real.
Answer: y = 0.2 * exp ((3/2) x ^ 2) Domain: all real numbers
Answer:
#1 is 2
#2 is -2/3
#3 is -2/5
#4 is -1/2
#5 is 4
#6 is 1
Step-by-step explanation:
I hope this helps
I am going to assume ‘centimetre’ was a typo.
A^2 + B^2 = C^2
C^2 - A^2 = B^2
32 = B^2
Square root both sides
B = 5.7m high
The ladder will reach 5.7 meters high
Answer:
The inverse function is:
{(1,8), (2,-1), (5,10), (-3,-3)}
Step-by-step explanation:
When a function is represented in the form of ordered pairs, the first element of each ordered pair is the input and the second element in each ordered pair is the output. In the inverse of a function the input becomes output and the output becomes input.
Given function is:
{(8,1), (-1,2), (10,5), (-3,-3)}
Reversing the order of elements of ordered pairs will given us the inverse function.
The inverse function is:
{(1,8), (2,-1), (5,10), (-3,-3)}
Solution:
<u>Note that:</u>
- 1 min = 60 sec
- 1 h = 60 min.
<em>The given time is in seconds. Convert it into minutes by dividing it by 60.</em>
- => 25,200 seconds = 25,200 ÷ 60 minutes = 420 minutes
<em>The obtained time is in minutes. Convert it into hours by dividing it by 60.</em>
- => 420 minutes = 420 ÷ 60 hours = 7 hours
<u>We can conclude that:</u>
- 25,200 seconds = 420 minutes = 7 hours
