_Brainliest if helped!
1 over 64
8^2 = 64 , 8^-2 = 1/(8^2) = 1/64
After a little manipulation, the given diff'l equation will look like this:
e^y * dy = (2x + 1) * dx.
x^2
Integrating both sides, we get e^y = 2------- + x + c, or e^y = x^2 + x + c
2
Now let x=0 and y = 1, o find c:
e^1 = 0^2 + 0 + c. So, c = e, and the solution is e^y = x^2 + x + e.
Answer:
5,7
Step-by-step explanation:
Using an exponential function, it is found that the value of the function when x = 4 is of f(4) = 15.95.
<h3>What is an exponential function?</h3>
It is modeled by:
In which:
- b is the rate of change, as a decimal.
In this problem, we have that f(-1)=5, hence:
a = 5b
We also have that f(7)=32, hence:
Since a = 5b:
b = 1.2612.
a = 5b = 5 x 1.2612 = 6.306.
Hence the function is given by:
Then, when x = 4, we have that:
More can be learned about exponential functions at brainly.com/question/25537936
#SPJ1