<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:
Point D
Step-by-step explanation:
If it were rotated +15° about the origin, the answer would have been point A. The answer is point D because it is rotated -15° about the origin.
Answer:
➩ 
Step-by-step explanation:
➨ Rearrange/Simplify the equations
➨ Find 
➩ All x-values have same y-values ➩ Constant Function
Substitute 
in the f(x)
Thus, the answer ➩
Add similar terms:
(2x + 3x - 10x) + (5x² + x<span>²) </span>= -5x + 6x<span>² (ANSWER: C)</span>
Answer:
idk wii
Step-by-step explanation:
