Answer:
The result of the integral is
Step-by-step explanation:
Polar coordinates:
In polar coordinates, we have that:
And
In this question:
Region in the first quadrant between the circles with center the origin and radii 3 and 4
First quadrant means that ranges between and
Between these circles means that r ranges between 3 and 4. So
Applying the inner integral:
Using substitution, with , and considering that the integral of the sine is minus cosine, we have:
Applying the outer integral:
Has no factors of , so the result is the constant multiplied by , and then we apply the fundamental theorem.
The result of the integral is
Answer:
C) 61
Step-by-step explanation:
Answer:
1:3, 1:2, 3:5, 2:3, 3:4, 4:5, 1:1
Step-by-step explanation:
1 : 2 = 1/2 = 0.5
2 : 3 = 2/3 = 0.6666666667
3: 4 = 3/4 = 0.75
4:5 = 4/5 = 0.8
1:3 = 1/3 = 0.333333...
1:1 = 1/1 = 1
3:5 = 3/5 = 0.6
so let's arrange this from the smallest number to the biggest
the smallest is 0.333.. = 1:3
the second is 0.5 = 1:2
the third maybe tricky because both start with 0.6
but 2:3's 0.6 is greater because 0.6 is the same as 0.60. Since 66 is greater than 60, 0.6 is not greater than 0.66. so the third is 0.6 = 3:5
the fourth is 0.6666666667 = 2:3
the fifth is 0.75 = 3:4
sixths is 0.8 = 4:5
and the last and the greatest number is 1 = 1:1
Answer:
yo
Step-by-step explanation:
how are you? where are you from?
Answer:
16)
Bobby - 70
Hannah - 90 (Wins the round)
Carlos - 80
17)
Bobby - 7 (Wins the round)
Hannah - 3
Carlos - 5
Step-by-step explanation:
First we can make the variable n into each of the values they chose for the equations. Let's start with 16.
The equation is - (3+7) X (10 - n ÷2)
Now let's input the numbers 6 , 2, and 4 one at a time to figure out the answer.
USE PEMDAS!!!
16)
<u>Bobby - </u>
1. (3+7) X (10 - 6 ÷2)
2. 10 X (10 - 6 ÷ 2)
3. 10 X 7
4. Answer for Bobby - 70
<u>Hannah - </u>
1. (3+7) X (10 - 2 ÷2)
2. 10 X (10- 2 ÷2)
3. 10 X 9
4. Answer for Hannah - 90 (Wins the round)
<u>Carlos - </u>
1. (3+7) X (10 - 4 ÷2)
2. 10 X (10 - 4 ÷ 2)
3. 10 X 8
4. Answer for Carlos - 80
17)
<u>Bobby - </u>
1. (2 X 6 + 2) ÷ 2
2. (12 + 2) ÷ 2
3. 14 ÷ 2
4. Answer for Bobby - 7 (Wins the round)
<u>Hannah - </u>
1. (2 X 2 + 2) ÷ 2
2. (4+2) ÷ 2
3. 6 ÷ 2
4. Answer for Hannah - 3
<u>Carlos - </u>
1. (2 X 4 + 2) ÷ 2
2. (8+2) ÷ 2
3. 10 ÷ 2
4. Answer for Carlos - 5
Hope this Helps!!! :)
Let me know if I should change anything or if the answer was perfect!!!