The tangent line to a curve is the one that coincides with the curve at a point and with the same derivative, that is, the same degree of variation.
We have then:
y = 5x-x²
Deriving:
y '= 5-2x
In point (1, 4)
The slope is:
y (1) '= 5-2 * (1)
y (1) '= 3
The equation of the line will be:
y-f (a) = f '(a) (x-a)
We have then:
y-4 = 3 (x-1)
Rewriting:
y = 3x-3 + 4
y = 3x + 1
Answer:
the tangent line to the parabola at the point (1, 4) is
y = 3x + 1
the slope m is
m = 3
Bias refers to scenarios which might affect the ability of a statistical experiment to generalize, hence affecting the validity of research. Non-response bias occurs when majority of subjects <em>fail to respond during a survey</em>. Hence, a likely scenario is ; <em>surveys were mailed to 500 people, and 200 of the surveys were completed and </em><em>returned</em><em>.</em><em> </em>
- Non - response bias has to do with a situation whereby a large percentage of the selected samples from a population do not respond or fail to participate in the experiment or survey.
- If 200 surveys were returned, then 300 of the sample participants did not respond. Which means <em>60% of the sample are non-responsive</em>.
Therefore, a scenario where <em>surveys were mailed to 500 people, and 200 of the surveys were completed and </em><em>returned</em><em> </em>exemplifies a non - response bias.
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The ordered pair would be 40-7 because if you want to get ‘y’ you would have to solve the pair of the 40 and 7. 40-7 is 33
