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
The answer is 1200
3/5=x/2,000
2,000/5=400
3 x 400=1200
Answer:
9
Step-by-step explanation:
3 x 3 =9 9 divived by 1
9
Answer:
Yes
Step-by-step explanation:
There are two cases: Case 1: x is even, so x can be modelled as a generic number 2n, where n is a positive integer. Clearly this product is divisible by two. ... Hence, it is safe to generalise that the term x²-x is divisible by 2 for any positive integer x.
Answer:
i) = 23 °C
ii) = 4.4° C
Step-by-step explanation:
i) The temperature on the surface of the planet.
At the surface of the planet the height is Zero
Therefore, X = 0
Thus; using the equation, the temperature, y will be;
y = 23 - 5x
y = 23 - 5(0)
<u> = 23 °C</u>
ii) the temperature change for every kilometer from the surface,
From the equation;
y = 23 - 5x
we take, y to be 1
Therefore;
1 = 23 -5x , subtracting 23 on both sides we get
-22 = -5x
x = -22/-5
<u> = 4.4° C</u>
