1)
y = ax+b
6 = 3a + b
18 = 5a + b
b = 6 - 3a
18 = 5a + 6 - 3a
2a = 12
a = 6
b = 6 - 18
b = -12
f(x) = 6x -12
2)
y = 2
No, because y ≠ 4
x = 2
No, because it's vertical<span>
</span>
y = 4
Yes, because x ∈ <span>ℝ and y = 4
</span>
x = 4
No, because it's verical
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.
Answer:
137°
Step-by-step explanation:
So, both are equal to each other due to them being the same degree angle.
5x+7=8x-71
subtract 5x on both sides
7=3x-71
add 71 to both sides
77=3x
divide both sides by 3
77/3=x
x equals about 26
insert x into the problems
[5(26)+7]°
this equals 137°
[8(26)-71]°
this equals 137°