Y - 190 = 55(x - 2)....distribute thru the parenthesis
y - 190 = 55x - 110....now add 190 to both sides
y = 55x - 110 + 190..simplify
y = 55x + 80 <== slope intercept form (y = mx + b)
15 I believe.. I could be wrong bc idk if youre adding the A's to the ratio or starting at 0
Answer:
98 degrees
Step-by-step explanation:
57 + 41 is 98
so take 98 from 180 which is 82
then you take 82 from 180 to find x which is 98
Answer:
a)∇f = 2y + 2x + 18z
b)
=108
Step-by-step explanation:
Given:
f (x,y,z ) = 
The curve C :

where 0 ≤ t ≤ 1
Required:
(a) F = ∇f =? (F is a vector here)
(b)
=?
Solution
First we will find the directional derivative F = ∇f
for that , we will use the formula :
∇f = 
Fx= δf/δx = δ/δx
= 2z i
Fy= δf/δy=δ/δy (2xy)j = 2x j
Fz= δf/δz=δ/δz
= 18z k
∇f = (2z) i .i + (2x) j.j + (18z) k.k
∇f = 2z + 2x + 18z
<em>For part b):</em>
<em>we will use line integral formula:</em>
to calculate dr, we will need the curve C:
r = x(t)+y(t)+z(t)
r=




= 
= 
put values of y, x and z
= 
=
=
(Note : f(1)-f(0))
=2(1)+162(1)+2(0)+162(0)-56
= 2+162 -56
=108