![quinnalbertson8643](/avatars/37871.jpg)
quinnalbertson8643
08.05.2021 •
Mathematics
Evaluate the given integral by changing to polar coordinates. sin(x2 y2) dAR, where R is the region in the first quadrant between the circles with center the origin and radii 3 and 4
Solved
Show answers
More tips
- L Leisure and Entertainment What to Give a Girl on March 8?...
- H Health and Medicine Heartburn: Causes and Ways to Get Rid of It...
- H Health and Medicine Simple and Effective: How to Get Rid of Cracked Heels...
- H Health and Medicine Relieving Swelling in Legs: Causes and Ways to Alleviate the Symptom...
- W Work and Career Мерчендайзинг – все, что нужно знать...
- O Other Everything You Need to Know About Kudyabliks...
- F Food and Cooking How to cook crayfish? Everything you need to know...
- F Food and Cooking Homemade kvass: recipe and brewing process...
- H Health and Medicine How to Choose the Right Tanning Cream?...
- S Style and Beauty Secrets of Tying a Pareo: 5 Ways...
Answers on questions: Mathematics
- M Mathematics The grocery store is running a sale on two different brands of juice. DGS brand is 4 cans for $5. The LIIT brand is 3 cans for $4. Which brand is a better deal? What is the unit...
- M Mathematics Dana buys and sells superhero themed shirts, jeans and designer dresses. she bought two shirts for $ 5.00 each and ater sold them for $ 9.00 each. she bought three pairs of jeans...
- M Mathematics Let cos(−θ)=4/5 and tanθ 0. what is the value of sin(−θ)?...
- M Mathematics 2/3 of the people were under the age 40.what percent of the people at the party were under age 40?...
- M Mathematics Does this graph represent a function?...
- M Mathematics Does this graph represent a function?...
- M Mathematics The board of trustees for a school is considering a tuition increase. one faction in the board supports plan a, which involves raising the tuition 9% this year and 8% the next. others...
- M Mathematics Ben starts with a certain number of fruit chew packages. he puts 27 packages into each of 85 cases. he has 3 packages left. how many packages of fruit chews did ben start with?...
- M Mathematics Heather has divided $5400 between two investments, one paying 8%, the other paying 5%. if the return on her investment is $345, how much does she have in each investment?...
- M Mathematics Whwn 8 children go on a picnic 6/8 wear jeans. how many wear jeans. and how many dont wear jeans...
Ответ:
44
The only choice to be made is how many gummy bears to give each child; once we've decided that, each child must receive the unique number of candies that will bring their total to 3 items. Thus, our problem reduces to counting integer solutions to a+b+c+d=6 that satisfy 0 <= a, b, c, d <= 3.
Ignoring the <= 3 restrictions, we have 9C3 = 84 solutions (which correspond to arrangements of 6 objects and 3 dividers).
Now we correct for the overcount. We must reject 5C3 = 10 solutions satisfying a >= 4, as well as 10 solutions with b, c, d >= 4. No further correction is needed, as it is not possible for more than one of a, b, c, d to be greater than or equal to 4.
Thus there are 84 - 4 x 10 = 44 ways to distribute the gummy bears, each of which forces a unique distribution of candies. There are 44 solutions.
But you guys should USE THE MESSAGE BOARD as well if you have trouble with AoPS HW problems.
(Solution from AoPS)
Hope that helped,
-sirswagger21