This is a separable differential equation, so let's start of there. Let's separate the variables to their own side with the respective differentials:



Let's integrate both sides (it's separable, so we can do this):


Now, let's plug in the values we are given to find the constant "C":


Let's rewrite the equation, with C in it, then solve for x because we need to ultimately find x:


Let's plug in y = 3 and solve for x:

Let's simplify and rationalize the denominator:

So, your answer is
D.
Based on the graph and the table in the diagram, the function that contains the greatest maximum y-value is f(x). So the answer would be letter A. f(x). I hope you are satisfied with my answer and feel free to ask for more if you have clarifications and questions
1)
Let unknown number be x
3x + 5 = 65
3x = 60
x = 20
Therefore, unknown number is 20.
Answer:
Option a.

Step-by-step explanation:
You have the following limit:

The method of direct substitution consists of substituting the value of
in the function and simplifying the expression obtained.
We then use this method to solve the limit by doing 
Therefore:


By definition, any number raised to exponent 0 is equal to 1
So


Finally
