Answer:
5
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/ (x2-x1)
= (-3-3)/(4-1)
=-6/3
= -2
Then we can use point slope form to make the equation
y-y1 = m(x-x1)
y-3 = -2(x-1)
Distribute
y-3 = -2x+2
Add 3 to each side
y-3+3 = -2x+2+3
y = -2x+5
Since this is in slope intercept form, y = mx +b, the y intercept is 5
The square root of 46 is 6.78
Answer:
statistical
non
non
statistical
Step-by-step explanation:
<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>
