Plugging in (2,-7) into
y=-5x+b, we get that b=3.
Therefore, the equation is y=-5x+3
<span>Let r(x,y) = (x, y, 9 - x^2 - y^2)
So, dr/dx x dr/dy = (2x, 2y, 1)
So, integral(S) F * dS
= integral(x in [0,1], y in [0,1]) (xy, y(9 - x^2 - y^2), x(9 - x^2 - y^2)) * (2x, 2y, 1) dy dx
= integral(x in [0,1], y in [0,1]) (2x^2y + 18y^2 - 2x^2y^2 - 2y^4 + 9x - x^3 - xy^2) dy dx
= integral(x in [0,1]) (x^2 + 6 - 2x^2/3 - 2/5 + 9x - x^3 - x/3) dx
= integral(x in [0,1]) (28/5 + x^2/3 + 26x/3 - x^3) dx
= 28/5 + 40/9 - 1/4
= 1763/180 </span>
Answer:
12x-39
Step-by-step explanation:
40-1=39
8x+6=62
Subtract 6 from both sides
8x= 56
Divide both sides by 8
x=7
Final answer: The number is 7
Answer:
4.6
Step-by-step explanation:
Hello!
To find the average we add all the numbers together and divide by how many numbers we added
6.8 + 5.6 + 3.4 + 2.5 + 4.7 = 23
We added 5 numbers so divide the total by 5
23/5 = 4.6
The answer is 4.6
Hope this helps!
