It looks like you want to compute the double integral
over the region <em>D</em> with the unit circle <em>x</em> ² + <em>y</em> ² = 1 as its boundary.
Convert to polar coordinates, in which <em>D</em> is given by the set
<em>D</em> = {(<em>r</em>, <em>θ</em>) : 0 ≤ <em>r</em> ≤ 1 and 0 ≤ <em>θ</em> ≤ 2<em>π</em>}
and
<em>x</em> = <em>r</em> cos(<em>θ</em>)
<em>y</em> = <em>r</em> sin(<em>θ</em>)
d<em>x</em> d<em>y</em> = <em>r</em> d<em>r</em> d<em>θ</em>
Then the integral is
Answer:
The answer would be $1995
Step-by-step explanation:
Trust me
The sequence is going up by 8 so it must be 8n followed by something. 5 is 3 less than 8 so the full expression will be 8n-3.
Therefore the answer is 8n-3; 797
You have to complete the square to get it into vertex form. Do this by setting the function equal to zero and at the same time moving the constant over to the other side of the equals sign so you have this:
. Now we can complete the square on the polynomial by taking half the linear term, squaring it, and adding it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so we add 4 to both sides:
and simplify to get
. In this process we have created a perfect square binomial on the left, which happens to be
. Now move the -6 back over by addition to get
. The vertex is found at (-2, 6), the third choice down.
Answer:
People leaving the library were asked how many books they checked out that day. The results are: 1, 2, 2, 3, 3, 4,4,5,5, 6, 6, 7, 8, 10, 10 Which histogram correctly shows the data set?Step-by-step explanation: