Answer:
- max for 5th-degree: 4 turns. This function: 2 turns.
- max for 7th-degree: 6 turns. This function: 0 turns.
Step-by-step explanation:
In general, the graph of an n-th degree function can make n-1 turns. However, in specific cases, the number of turns is limited by the number of real zero-crossings of the derivative.
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1. This 5th-degree function can have at most 4 turns. However, the derivative, f'(x) = 5x^4 -3, has only two (2) real zeros. Hence the graph of this function can only have 2 turns.
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2. This 7th-degree function can have at most 6 turns. However, the derivative, f'(x) = -7x^6 -35x^4-12x^2, has an even-multiplicity root at x=0 only. The derivative never crosses 0. Hence the graph makes no turns.
Answer:
5640
Step-by-step explanation:
There would be three rows, going to the right. Each row, would be 15 high.
The answer is 1/2lbs, here's how.
3/4x2/3=6/12 reduced to 1/2lbs.
Answer:
2nd one : y = -4/x
3rd one : y + x/2 = 9
4th one
5th one : y = x^2
6th : 5.8x - y = 2.3
Step-by-step explanation:
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