2 years ago

What’s the correct answer for this question?

Mathematics

1 answer:

Slav-nsk [51]2 years ago

7 0

Answer:

Step-by-step explanation:

In the attached file

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

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2 years ago

Please answer as many as you can.

dimaraw [331]

Answer: okay so your problems are like 10000000k through out resons of dum. so x=-1. is a little wrong becayse the x = into a 1 so you make the 1 that factor. so thats why answer for 2.5

Step-by-step explanation:

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3 years ago

Arrange the steps to solve this system of linear equations in the correct sequence x+y=-2 2x-3y=-9

balu736 [363]

there you go the correct ans

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3 years ago

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likoan [24]

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3 years ago

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Sarah has 128 stickers. alex has 10 fewer stickers than sarah. how many stickers does Alex have.

nikitadnepr [17]

To get your answer you first subtract 10 from 128 which is 118.

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3 years ago