<span>∫c F · dr
= ∫∫s curl F · dS, by Stokes' Theorem
= ∫∫ <2, 0, -x> · <-z_x, -z_y, 1> dA
= ∫∫ <2, 0, -x> · <1, 0, 1> dA, since z = 2 - x
= ∫∫ (2 - x) dA.
Since the region of integration is inside x^2 + y^2 = 9, convert to polar coordinates:
∫(r = 0 to 3) ∫(θ = 0 to 2π) (2 - r cos θ) * (r dθ dr)
= ∫(r = 0 to 3) (2 * 2π - 0) * r dr
= 2πr^2 {for r = 0 to 3}
= 18π.
</span>
Answer:
well i.d.k micheal but AIDEN is old enough to know NOT TO TAKE POOR DEFENSELESS MICHEAL'S COOKIES
Step-by-step explanation:
Answer:
The equation of line is y = 3 x +18
Step-by-step explanation:
Given as :
The points are
(
, 
) = (- 9, -9)
(
, 
) = (- 6 , 0)
Let The slope = m
Now,<u> The slope is calculated in points form</u>
So, Slope = 
I.e m =
or, m = 
or, m = 
I.e m = 3
So, The slope of points = m = 3
<u>Now, the equation of line in slope - point form can be written as</u>
y - = m ( x - )
where m is the slope of line
i.e y - (-9) = ( 3 ) × ( x - (-9) )
or, y + 9 = 3 × (x + 9)
∴ y + 9 = 3 x + 27
Or, y = 3 x + 27 - 9
O,r y = 3 x + 18
So, The equation of line is y = 3 x + 18
Hence, The equation of line is y = 3 x +18 . Answer
9 x 23 = 207 So the answer is D. product means the answer of a multiplication question. <span>The </span>associative property<span> states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or </span>multiplying<span> it does not matter where you put the parenthesis</span>
