Answer:

Step-by-step explanation:
To find this derivative, we will need to use the chain rule.
As there is a variable in the exponent we can use this formula:

In this case,
and 
This means that
and
respectively
This gives us 
Answer:
; 
Step-by-step explanation:
we know that
step 1
Find the inequality of the solid line x+3y=6
The solution is the shaded area below the solid line
therefore
The equation of the inequality is

step 2
Find the inequality of the solid line y=3x-1
The solution is the shaded area above the solid line
therefore
The equation of the inequality is

therefore
The system of linear inequalities is
; 
The answer is 22.
You have to plug in 6 to the equation
Answer:
x = 88.2
Step-by-step explanation:
The angle at the top of the triangle = 90° - 10° = 80°
and the left side of the triangle is x ( opposite sides of a rectangle )
Using the tangent ratio in the right triangle
tan80° =
= 
Multiply both sides by x
x × tan80° = 500 ( divide both sides by tan80° )
x =
≈ 88.2