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
we know that
if two lines are parallel
then
their slopes are equal
Step 1
Find the slope of the line 2x + 5y = 4
2x + 5y = 4------> 5y=4-2x-----> y=(4/5)-(2/5)x------> slope m=(-2/5)
step 2
with m=-2/5 and the point (5, –4) find the equation of the line
y-y1=m*(x-x1)------> y+4=(-2/5)*(x-5)----> y=(-2/5)x+2-4
y=(-2/5)x-2
therefore
the answer is the option D
Answer: 24
explanation: mode is the value that repeats most often. so, in this case, 24 repeats the most often.
Answer:
2 1/2 hours
Step-by-step explanation:
Divide 100 by 40 and you get 2.5
