Answer:
1) Both 15.
2) 25 and -25.
Step-by-step explanation:
1) Let the 2 numbers be x and 30 - x.
The product = x(30 - x)
f(x) = x(30 - x)
f(x) = 30x - x^2
Finding the derivative:
f'(x) = 30 - 2x
Finding the maximum:
30 - 2x = 0
x = 15.
This gives a maximum f(x) because f"(x) = -2.
So the numbers are 15 and 30 - 15 = 15.
2). If one number is x the other is y.
x - y = 50
y = x - 50
The product =
x(x - 50)
= x^2 - 50x
Finding the derivative:
2x - 50 = 0 for a minimum value.
2x = 50
x = 25.
So the numbers are 25 and 25-50 = -25.
A=R, B=S, C=P, and D=Q
hope this helps!
Answer:
says the one that kept posting that stupld link ◔_◔
Step-by-step explanation:
Answer:
a)
,
, b)
,
, 
Step-by-step explanation:
a) The values of the output for steady-state operation are:




b) The formula for linearization is:

The first derivative of the formula evaluated at x = 1 is:


The linearized model is:

The output at x = 2 is presented below:


Linearized model offers reasonable approximations for small intervals.
You would divide the 2/3 by 4 which would be 1.6 recurring and then put that back into a fraction which would be 1/6. I'm not sure if his is correct but this what is learnt ♡♡chyna