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diamong [38]
3 years ago
14

Can anyone help me with 16,18,and 19 please

Mathematics
1 answer:
jenyasd209 [6]3 years ago
7 0
16-A 18-B 19-D (not 100% sure on 16)
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Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cu
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Answer:

) See annex

b) See annex

x  =  0,5 ft

y =  2 ft   and

V = 2 ft³

Step-by-step explanation:  See annex

c) V = y*y*x

d-1) y = 3 - 2x

d-2) V = (3-2x)* ( 3-2x)* x   ⇒ V = (3-2x)²*x    

V(x) =( 9 + 4x² - 12x )*x    ⇒   V(x) = 9x + 4x³ - 12x²

Taking derivatives

V¨(x) = 9 + 12x² - 24x

V¨(x) = 0              ⇒   12x² -24x +9 = 0     ⇒  4x² - 8x + 3 = 0

Solving for x (second degree equation)

x =[ -b ± √b²- 4ac ] / 2a

we get    x₁  =  1,5       and    x₂ =  0,5

We look at y = 3 - 2x    and see that the value x₂ is the only valid root

then

x  =  0,5 ft

y =    2 ft   and

V = 0,5*2*2

V = 2 ft³

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2 years ago
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timama [110]
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Step-by-step explanation:

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Anon25 [30]

Answer:

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Explanation:

Just ask if you need an explanation. Also, does anyone do LD debate?

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3 years ago
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