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:
8,2
Step-by-step explanation:
The answer your looking for is 30
30 ÷ 5 = 6
Answer:
14 square feet
Step-by-step explanation:
8x8=64
8x10=80
80-64=14
a) true
b) false
c) true
Step-by-step explanation:
<h3>let's determine the first statement</h3><h3>to determine x-intercept </h3><h3>substitute y=0</h3>
so,
8x-2y=24
8x-2.0=24
8x=24
x=3
therefore
the first statement is <u>true</u>
let's determine the second statement
<h3>to determine y-intercept </h3><h3>substitute x=0</h3>
so,
8x-2y=24
8.0-2y=24
-2y=24
y=-12
therefore
the second statement is <u>False</u>
to determine the third statements
<h3>we need to turn the given equation into this form</h3><h2>y=mx+b</h2><h3>let's solve:</h3>
8x-2y=24
-2y=-8x+24
y=4x-12
therefore,
the third statement is also <u>true</u>
