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lana [24]
3 years ago
5

Please help me on this!

Mathematics
1 answer:
trapecia [35]3 years ago
8 0

Answer:

1) Jina is not a member of the Music Club.

2) Three students are a member of the Music Club but not the Math Club.

3 Mary and Dan are in all three clubs.

Step-by-step explanation:

Look at the diagram and notice how each club has its own circle. If a student is in that circle, then they are a member of that club. When circles overlap, that overlap space means that a student is a member of two or all three clubs, depending on how many and which circles overlap.

1) Looking at Jina's location on the diagram, she is in the overlap between the math and chess club circles. However, her position does NOT overlap with the Music Club circle, therefore she is not a member of the Music Club.

2) Let's look at the students of the Music Club circle and its overlaps with the Chess Club circle, but NOT the overlaps with the Math Club circle. We can see that Lucy, Josh, and Juan are in these locations, therefore there are three students who are members of the Music Club but not the Math Club.

3) To find which students are in all three clubs, you would look at the middle of the diagram where all three circles overlap. The students listed in this location are Mary and Dan, therefore they are in all three clubs.

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Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = t 9 − t2 , [−1, 3]
ahrayia [7]

The absolute minimum = -2√2.

The absolute maximum=  4.5

Consider f(t)=t√9-t on the interval (1,3].

Find the critical points: Find f'(t)=0.

f"(t) = 0

√9-t² d/dt t + t d/dt √9-t²=0

√9-t²  + t/2√9-t² (-2t)=0

9-t²-t²/√9-t²=0

9-2t²=0

9=2t²,   t²=9/2, t=±3/√2

since -3/√2∉  (1,3].

Therefore, the critical point in the interval  (1,3] is t= 3/√2.

Find the value of the function at t=1, 3/√2,3 to find the absolute maximum and minimum.

f(-1)=-1√9-1²

    = -√8 , =-2√2

f(3/√2)= 3/√2 √9-(3/√2)²

        = 3/√2 √9-9/2

      =3/√2 √9/2

     =9/2 = 4.5

f(3)= 3√9-3²

    = 3(0)

    =0

The absolute maximum is 4.5 and the absolute minimum is -2√2.

The absolute maximum point is the point at which the function reaches the maximum possible value. Similarly, the absolute minimum point is the point at which the function takes the smallest possible value.

A relative maximum or minimum occurs at an inflection point on the curve. The absolute minimum and maximum values ​​are the corresponding values ​​over the full range of the function. That is, the absolute minimum and maximum values ​​are bounded by the function's domain.

Learn more about Absolute minimum and maximum here:brainly.com/question/19921479

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Hi!

This isn't the easiest to explain with numbers but I'll do it with an example instead.

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We take the number of sheets of paper, and we divide it by the number of people we have to share it with.

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