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.
Hello there.
Question: <span>There are 56 trees in a apple orchard. They are arranged in equal rows. There are 8 trees in each row. How many rows of apple trees are there? What's the equation can be used for this problem?
Answer: 56/8 = 7.
There are 7 rows.
The equation would be:
Let trees be t.
8t = 56.
Hope This Helps You!
Good Luck Studying ^-^</span>
Answer:
its a variety of selection techniques in which sample members are selected by chance
Step-by-step explanation:
Answer:
4
Explanation:
Since the third term is the sum of the two previous terms
Continuing in like manner
Since
Recall:
The sequence is therefore:
8,-5,3,-2,1,-1,0
The sum of the seven numbers is 4.
-3 + -3 = 0
-5 + 1 = -4
vector = < 0,-4 >