To solve the problem we must set the equation for the volume and surface area
let x be the side of the square base
and h be the height of the box
so the volume , v = hx^2
and the area, a = x^2 + xh = 56
then solve for the equation of h
x^2 + xh = 56
xh = 56 - x^2
h = 56/x - x
to solve the maximum volume, solve the first derivative of the volume and equate to zero
v = hx^2
v = (56/x - x) x^2
v = 56x - x^3
dv/dx = 56 - 3x^2
0 = 56 - 3x^2
3x^2 = 56
x = 4.32 ft
h = 8.64 ft
Answer:
C) -4
Step-by-step explanation:
this is correct as far as i know.
La pendiente de la recta que pasa por los puntos (2,3) y (-2,-4) es 7/4.
(2,3) (-2,-4)
x₁ y₁ x₂ y₂
y₂ - y₁ -4 -3 -7 7
----------- = --------- = ----------- = ------
x₂ - x₁ -2 - 2 -4 4
↑
↑
la fórmula de el pendiente
Answer:
0.94
because 5 《 x 《 10
=> the average rate of change of the function is