If A=38x-x^2 then
dA/dx=38-2x
d2A/dx2=-2
Since the acceleration, d2A/dx2 is a constant negative, when velocity, dA/dx=0, it will be an absolute maximum for A(x)
dA/dx=0 only when 38=2x, x=19
A(19)=38(19)-19^2
A(19)=722-361
A(19)=361 ft^2
So the maximum possible area is 361 ft^2
(This will always be true as the maximum possible area enclosed by a given amount of material will always be a perfect square...)
You can use proportions in all of these as I explained in another one of your questions. I'll post the answers if you still want them.
Answer:
u=1
Step-by-step explanation:
Answer:
y = 5x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 9 ← is in slope- intercept form
with slope m = 5
Parallel lines have equal slopes, thus
y = 5x + c ← is the partial equation
To find c substitute (- 2, - 3) into the partial equation
- 3 = - 10 + c ⇒ c = - 3 + 10 = 7
y = 5x + 7 ← equation of parallel line
