Answer:
56
Step-by-step explanation:
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
Answer:
I am not sure if I'm correct, but I got 16
Step-by-step explanation:
lets look at the formula for cylinder volume:
V=π*r^(2)*h
now, lets plug in 64
64=π*r^(2)*h
h=64/(π*r^(2))
Volume of glass cylinder is
V=((0.5r)^2)*(64/(π*r^(2)))*π
V=0.25π*r^(2)*(64/(π*r^(2)))
V=16π*r^(2)/(π*r^(2)
V=16
#1 is y=1 ill give you the others in a min.
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