13,886
365
719,463
40,047,209
2,145,739,180
1,783,457
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.
Answer:
Hi, Jordan Here!
Step-by-step explanation:
the magnitude of a real number without regard to its sign. Also called modulus.
<em>happy to help! :D</em>
3* tan(x) - root(3) = 0
3* tan(x) = root(3)
tan(x) = root(3) /3 = 0.577
x = tan^-1(0.577) or atan(0.577)
x = 30 degrees