Answer:
ight bet so if 2 and 2 is 4
<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>
Slope of perpendicular is -1/3.
Then equation is
y-5=(-1/3)(x+9)
3 (4x + 6) = 21
4x + 6 = 21/3
4x + 6 = 7
4x = 7 - 6
4x = 1
x = 1/4
Answer:
(6 × 3) divided by 8 and 3/8 × 6
Step-by-step explanation:
if you solve 6 × 3/8 you should get 18/8 which then simplifies to 9/4. if you go though each answer choice solving each problem you should get 9/4 and if you dont then that is not the answer. the first 2 answer choices equal 16 which is not 9/4 and the 4th answer choice will give you 4 and 6 × 8/3 gives you 48/3 which gives you 16 so only the 3rd and last answer choices are correct
