For the function, find the points on the graph at which the tangent line is horizontal. If none exist, state that fact. SHOW W
ORK PLEASE!
2 answers:
9514 1404 393
Answer:
A. (-√2, 3+(4√2)/3), (√2, 3-(4√2)/3)
Step-by-step explanation:
The tangents are horizontal where the derivative is zero. The derivative of the given function is ...
y' = x² -2
This is zero when ...
0 = x² -2
2 = x²
±√2 = x . . . . x-values where the derivative is zero
__
The corresponding y-values are ...
y = (1/3x² -2)x +3
y = (1/3(2) -2)(±√2) +3 = 3 ∓ (4√2)/3
The turning points are (-√2, 3+(4√2)/3) and (√2, 3-(4√2)/3).
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Answer:
IQ scores of at least 130.81 are identified with the upper 2%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 100 and a standard deviation of 15.
This means that
What IQ score is identified with the upper 2%?
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Answer:
Step-by-step explanation:
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