Answer:
A) Area as function of H ,
F'(a) = 2 +H
B) Area of triangle with height 6ft = 30 ft²
Step-by-step explanation:
Given as for a triangle ,
Let the height of triangle = H ft
And base = 4 ft + H ft
Now area of triangle =
× height × base
F (a) =
× H × ( 4ft + H ft)
Or, F (a) =
× ( 4H + H² )
Now, here Area is function of height ,
So , F'(a) =
(4 + 2H)
Hence Area as function of H ,
F'(a) = 2 +H
Now For height = 6 ft
Area of triangle =
× height × base
=
× H × ( 4ft + H ft)
=
× ( 4H + H² )
=
× ( 24 + 36 )
=
× ( 60 )
= 30 ft²
Hence Area of triangle with height 6ft = 30 ft² Answer
do it yourself
Step-by-step explanation:
Answer:
Domain: (-infinity, +infinity) since you can pick any x values.
Range: [0, +infinity) since it does not go below the x axis.
Step-by-step explanation:
The graph is a parabola given by 
lets pick a few x values:
x = 1 gives us y = 1^2, which = 1
x = -1 gives us y = (-1)^2, which = 1
The parabola's domain is any x value as it extends to infinity.
For its range, you can see that it does not go below the x axis at x = 0. Therefore, the range of the parabola is from [0, infinity]
Answer:
i think no sorry if im whrong