Answer:
251.33 = 251
Step-by-step explanation:
V= πr²h = π·2²·20 ≈ 251.32741 = 251.33
Answer:
See below.
Step-by-step explanation:
Recall the equation for a circle:
, where (h,k) is the center and r is the radius.
We need to turn the given equation into the above format. We do this by completing the square.
First, group them:

For the first section, complete the square for
:


Do the same for the second:



All together:



The center is (-9,-7).
The radius is 
Simply simplify multiplication expressions with a positive exponent
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
__
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
Answer:
19/25 = 0.76
311/500 = 0.622
5/8 = 0.625
145/8 = 18.12500
Step-by-step explanation:
Divide the first number by the second like 145 divided by 18.