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 ...
from which you have correctly determined that ...
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.
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At the given values, we find ...
g(3.98) = 2.245
g(4.05) = 2.2625
We need the articles firsttT
Answer:
x=7
Step-by-step explanation:
make the equations equal each other
72=6x+30
subtract 30
42=6x
divide by 6
42/6=7
Step-by-step explanation:
There is no enough information to determine how many portions she will be able to make.
We need to know how many pounds of grapes will she needs to make a particular pounds portions for the snacks.
For example, if she needs 2 pounds of grapes to make 5 pounds portion for the snacks, and she purchase ½ pounds of grapes, we can determine how many pounds of portions for the snacks she will be able to make with this information.
Using a simple ratio
2:5 = ½:x
2/5 = ½/x
Multiplying both sides by x
(2/5)x = 1/2
Multiplying both sides by 5/2
x = (1/2)×(5/2)
x = 5/4
x = 1¼ pounds
Meaning she will be able to make 1¼ pounds of portion for snacks with ½ pounds of grapes.
