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shepuryov [24]
3 years ago
13

A bag of grass with soil sells for $12.50 and it can cover (10)^6 square inches of ground. what is the price of covering 2 acres

land?
Mathematics
1 answer:
Zarrin [17]3 years ago
4 0
6,272,640 square inches = 1 acre
10^6 square inches = 10^6/6,272,640 = 0.16 acre

0.16 acre = $12.50
2 acre = (2 x 12.50)/0.16 = $156.25

The cost covering 2 acres of land is $156.75
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Video Example EXAMPLE 1 Find the linearization of the function f(x) = x + 1 at a = 3 and use it to approximate the numbers 3.98
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Answer:

  the linearization is y = 1/4x +5/4

  the linearization will produce <em>overestimates</em>

  the values computed from this linearization are ...

     f(3.98) ≈ 2.245

     f(4.05) ≈ 2.2625

Step-by-step explanation:

Apparently, you have ...

  f(x)=\sqrt{x+1}

from which you have correctly determined that ...

  f'(x)=\dfrac{1}{2\sqrt{x+1}}

so that f(3) = 2 and f'(3) = 1/4. Putting these values into the point-slope form of the equation of a line, we get the linearization ...

  g(x) = (1/4)(x -3) +2

  g(x) = (1/4)x +5/4

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The values from this linearization will be overestimates, as the curve f(x) is concave downward everywhere. The tangent (linearization) is necessarily above the curve everywhere.

__

At the given values, we find ...

  g(3.98) = 2.245

  g(4.05) = 2.2625

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