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irina1246 [14]
3 years ago
7

The rate (in liters per minute) at which water drains from a tank is recorded at half-minute intervals. Use the average of the l

eft- and right-endpoint approximations to estimate the total amount of water drained during the first 3 min. t (min) 0 0.5 1 1.5 2 2.5 3 r (l/min) 44 40 37 34 30 27 23
Mathematics
1 answer:
kvv77 [185]3 years ago
3 0

Answer:

100.75 liters

Step-by-step explanation:

Data provided in the question:

t (min)     0     0.5      1     1.5      2      2.5      3

r (l/min)    44    40     37     34     30     27      23

Now,

left endpoint approximation

= 0.5 × ( 44 + 40 + 37 + 34 + 30 + 27 )

= 0.5 × 212

= 106

Right endpoint approximation

= 0.5 × ( 40 + 37 + 34 + 30 + 27 + 23 )

= 0.5 × 191

= 95.5

Therefore,

the average of the left- and right-endpoint approximations

= [ 106 + 95.5 ] ÷ 2

= 100.75 liters

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These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

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While solving we will have to use the area formula of the rectangle, which is :A=w*l ; length*width=A.

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1)let’s consider that the shape is a full rectangle. => 16*12=192.

2)9*2=18 -> 18*2=36

3)192-36=156.

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