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nadya68 [22]
3 years ago
14

Which shows where the function is increasing?

Mathematics
1 answer:
V125BC [204]3 years ago
4 0

Answer:

In zone A and zone E.

Step-by-step explanation:

See the attached graph to this question.

The graph clearly shows that the function is increasing in the portion which is denoted by A and E.

In the A zone, the graph moves from minima towards local maxima and in the E zone, the graph moves from a local minima towards maxima.

In both the zones, the value of f(x) increases as the value of x increases. Therefore, the function is increasing in A and E zone. (Answer)

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If 1200 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the b
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Answer:

The largest possible volume V is ;

V = l^2 × h

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Step-by-step explanation:

Given

Volume of a box = length × breadth × height= l×b×h

In this case the box have a square base. i.e l=b

Volume V = l^2 × h

The surface area of a square box

S = 2(lb+lh+bh)

S = 2(l^2 + lh + lh) since l=b

S = 2(l^2 + 2lh)

Given that the box is open top.

S = l^2 + 4lh

And Surface Area of the box is 1200cm^2

1200 = l^2 + 4lh ....1

Making h the subject of formula

h = (1200 - l^2)/4l .....2

Volume is given as

V = l^2 × h

V = l^2 ×(1200 - l^2)/4l

V = (1200l - l^3)/4

the maximum point is at dV/dl = 0

dV/dl = (1200 - 3l^2)/4

dV/dl = (1200 - 3l^2)/4 = 0

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I = 20cm

Since,

h = (1200 - l^2)/4l

h = (1200 - 20^2)/4×20

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The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

4 0
3 years ago
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