simplified as 
or 
.
<u>Step-by-step explanation:</u>
We need to Simplify seven square root of three end root minus four square root of six end root plus square root of forty eight end root minus square root of fifty four. Which is equivalent to :
⇒ 
⇒ 
⇒ 
⇒ 
⇒
⇒ 
⇒
Therefore, simplified as or .
Step-by-step explanation:
it has 4 sides, all of whick are equal. Answer is 4*4, 16.
<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:
3/8
Step-by-step explanation:
1 - 5/8 = 3/8
