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
You multiply the numbers and add the variable's exponents.
Answer:
275 miles
Step-by-step explanation:
I assume all towns are on the same line. Then, town C is 5.5 cm from town A on the map since 3.5 cm + 2 cm = 5.5 cm.
The real distance can be calculated with a proportion.
2/100 = 5.5/x
2x = 5.5 * 100
2x = 550
x = 275
Answer: 275 miles
Answer:
a
the first answer
Step-by-step explanation:
Answer:
D) -30x^2 -64x -18
Step-by-step explanation:
Given:
f(x) = 6x +2 and g(x) = -5x - 9
f(x).g(x) = (6x + 2) (-5x - 9)
Use distributive property
= 6x(-5x -9) + 2(-5x - 9)
= -30x^2 - 54x - 10x -18
= -30x^2 -64x - 18
Answer: d) -30x^2 -64x -18
Thank you.