Answer: 7
Step-by-step explanation:
Answer:
f³(x) = 64/x⁶
Step-by-step explanation:
f³(x) = (f(x))³ = (4/x²)³ = 4³/(x²)³
f³(x) = 64/x⁶
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The applicable rules of exponents are ...
(a/b)^c = (a^c)/(b^c)
(a^b)^c = a^(bc)
Answer:
-1+√6
-1-√6
Step-by-step explanation:
x²+2x-5=0
x=(-2±√(2²-4(-5)))/2=(-2±√(4+20))/2=(-2±√24)/2
x₁=(-2+√24)/2 or x₂=(-2-√24)/2
x₁=(-2+2√6)/2 or (-2-2√6)/2
x₁=-1+√6 or x₂=-1-√6
2.85 = 2 17/20 - hope it helps!
Area of the canvas: 96 = 2 · W² + 2 · W L,
where W is the width and L is the length of a back and a top side. Two square sides have area W².
2 W L = 96 - 2 W² /:2
W L = 48 - W²
L = ( 48 - W² ) / W.
The inside volume of the shelter:
V = L · W · W = L · W²
V = W² · ( 48 - W² ) / W ;
V = 48 W - W³
We have to find the derivative:
V ` = 48 - 3 W²
48 - 3 W² = 0 ( for V max. )
3 W² = 48
W² = 48 : 3
W² = 16; W = √16; W = 4 ft.
L = ( 48 - 16 ) / 4 = 32 / 4 = 8 ft.
Answer: The length of the shelter for which the volume inside is maximized is 8 ft.
