<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:
yes
Step-by-step explanation:
its an obtuse angle and the other angles are acute
Rational number between 3 and 5 = 3.5
irrational number between 3 and 5 = (pi) ....3.14159265359.......
Converting decimals:
Write down the decimal divided by 1, like this: decimal 1.
Multiply both top and bottom by 10 for every number after the decimal point. ...
Simplify (or reduce) the fraction.
They both are similar because you can divide by one? not sure on this part.