Answer:
dy/dx = 9x²+2
dy = (9x²+2) dx
dy/dt = (9x²+2) dx/dt
if x = 2 and dx/dt=5 then
dy/dt = (9*2²+2)*5 = 38*5 = 190
The required function is:
Option 3: 
Step-by-step explanation:
The initial value and rate is used to write exponential function
Here
Given
Initial value = 37
Rate = r = 5%
When the rate is 5%, the next year the quantity will be 1+0.05 = 1.05 time of the current quantity.
So,
The function can be written as:

For initial value, put t=0

Hence,
The required function is:
Option 3: 
Keywords: Functions, exponential functions
Learn more about functions at:
#LearnwithBrainly
Step-by-step explanation:
that's what I know hope it helps you.
1) Graphing- If you graph the numbers you will easily be able to identify the answer.
2) Substitute- Substitute numbers in for x or y until they're equal on both sides.
EX: 2x+2=10
Substitute numbers in until you get a number that makes it equal on both sides
x= 4
3) Elimination- Eliminate numbers from both sides until they're equal.
Hope this helped! :)