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2 years ago

I want to be smart at school and I am getting really for the test too.

Mathematics

1 answer:

kicyunya [14]2 years ago

4 0

Great job was is you strategies

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Find the average value of the function on the given interval.<br> f(x)=2 ln x; [1,e]

JulijaS [17]

Answer:

$f_{avg}=\frac{1}{e-1}$

Step-by-step explanation:

We are given that a function

$f(x)=2lnx$

We have to find the average value of function on the given interval [1,e]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{e-1}\int_{1}^{e}lnx dx$

By Parts integration formula

$\int(uv)dx=u\int vdx-\int(\frac{du}{dx}\int vdx)dx$

u=ln x and v=dx

Apply by parts integration

$f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))$

$f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})$

$f_{avg}=\frac{1}{e-1}(e-0-e+1)=\frac{1}{e-1}$

By using property lne=1,ln 1=0

$f_{avg}=\frac{1}{e-1}$

8 0

2 years ago

How do I solve 34-5x+2(x-2)=15

LenKa [72]

34-5x+2(x-2)=15 1st get rid of () by distributing the 2.
34-5x+2x-4=15 Now collect like terms.
30-3x=15 Get -3x by itself by subtracting 30 in both sides.
-3x=-15 You want X by itself so divide by -3 on both sides.
x=5

8 0

3 years ago

What is the area of sector ACB? Leave your answer in terms of pi.

andre [41]

Answer:

Step-by-step explanation:

7 0

2 years ago

A rectangular park is 56 miles wide and 157 miles long. What is the area of the park? Enter your answer in the box as a mixed nu

OLEGan [10]

I believe the answer would be 2 23/42. Sorry, if I am wrong with this answer. Sorry, i also mean the answer should be actually 1 3/7

3 0

3 years ago

Read 2 more answers

Question is shown below.

Andrei [34K]

ANSWER

D. 4 minutes 40 seconds

EXPLANATION

The given data set showing the number of seconds of each song the playlist is:

283,204,198,229,173,230,168,236,215,204

Let the length of the 11th song be x.

Because he wants the mean to be 3 minutes 40 seconds, which is equal to 220 seconds, we write and solve the following equation for x.

$\frac{283 + 204 + 198 + 229 + 173 + 230 + 168 + 236 + 215 + 204 + x}{11} = 220$

$\frac{2140 + x}{11} = 220$

$2140 + x = 2420$

$x = 2420 - 2140$

$x = 280$

We convert 280 seconds to minutes.

$\frac{280}{60} = 4 \frac{2}{3} = 4mins : 40 sec$

The correct choice is D

3 0

3 years ago