1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yuri [45]
3 years ago
8

Find the average value of f over region

Mathematics
1 answer:
yan [13]3 years ago
3 0
The area of D is given by:

\int\limits \int\limits {1} \, dA = \int\limits_0^7 \int\limits_0^{x^2} {1} \, dydx  \\  \\ = \int\limits^7_0 {x^2} \, dx =\left. \frac{x^3}{3} \right|_0^7= \frac{343}{3}

The average value of f over D is given by:

\frac{1}{ \frac{343}{3} }  \int\limits^7_0  \int\limits^{x^2}_0 {4x\sin(y)} \, dydx  = -\frac{3}{343}  \int\limits^7_0 {4x\cos(x^2)} \, dx  \\  \\ =-\frac{3}{343} \int\limits^{49}_0 {2\cos(t)} \, dt=-\frac{6}{343} \left[\sin(t)\right]_0^{49} \, dt=-\frac{6}{343}\sin49
You might be interested in
Plz help lol i need to pass a lesson on ttm
DENIUS [597]

Answer:

she rode for 5 hours

Step-by-step explanation:

hope that helped and good luck

3 0
2 years ago
2/3 of a class are girls <br> a) What’s the ratio to boys to girls in the class
Lostsunrise [7]
The ratio would be written as 2:3 because there are 2 girls for every 3 boys
4 0
3 years ago
Please help me idk what this is
-Dominant- [34]
2 12/30
16/40
-4/20

LOL that ixl.com grind
6 0
3 years ago
Read 2 more answers
Please help me with these.. brainliest.​
adoni [48]

Answer:

it will be on platform 9 3/4

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP! <br> Will try to give the brainliest!
dusya [7]

Answer:

L: (15+6x) W: 2

L: (10+4x) W: 3

L: (5+2x) W: 6

Step-by-step explanation:

We don't have any numbers here to do calculations, so probably this is just an exercise in FACTORING. Also to practice that area is length times width.

The area given,

30 + 12x

can be factored several ways to be able to fill in the table.

This kind of factoring is like "un-distributive property" where a common factor can be factored out of the expression. Usually its helpful to factor out the greatest common factor (GCF) but in this case any common factor will do.

Also, unless there are more directions, either factor may be the length or the width.

2(15+6x)

3(10+4x)

6(5+2x)

6 0
2 years ago
Other questions:
  • Please help Idk this
    8·2 answers
  • Plz help I'm will give a brainliest​
    11·1 answer
  • Help me with this question
    13·2 answers
  • 4 cm
    11·1 answer
  • 10√1/5 find the mixed surd..<br>​
    7·2 answers
  • Which expression is equivalent to this expression?<br> 4a + (–6b) – 3a + 2b
    13·1 answer
  • A snake at the zoo is 4 feet long. A scale model of the snake is 2 inches long. What is the scale factor?
    13·1 answer
  • Plz help me thxs. ...
    7·1 answer
  • 200,195,190,185 arithmetic or geometric
    10·1 answer
  • 3 times as much as the sum of 3 over 4 and 2 over 6
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!