Answer: y=0 and x=3
Step 1: Solve for x in 2x+9y=6.
(Subtract 9y from both sides)
( Divide both sides by 2)
Step 2: Replace x with 3-4.5y
Step 3: Solve for y
(By looking at this, we can determine that y=0)
Step 4: Replace y with 0
(Divide both sides 2)
Therefore, y=0 and x=3
2. The integration region,
corresponds to what you might call an "annular sector" (i.e. the analog of circular sector for the annulus or ring). In other words, it's the region between the two circles of radii and , taken between the rays and . (The previous question of yours that I just posted an answer to has a similar region with slightly different parameters.)
You can separate the variables to compute the integral:
which should be doable for you. You would find it has a value of 19/72*(3√3 + 4π).
3. Without knowing the definition of the region <em>D</em>, the best we can do is convert what we can to polar coordinates. Namely,
so that
Answer:
It's 97
Step-by-step explanation: Please brainliest if correct!