Answer: no correlation .C
Step-by-step explanation: there is no correlation if the change on X has no impact on Y
hope this helped
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
"4x + 6 = 94" is the equation among the following choices given in the question that could be used to solve the problem. The correct option among all the options that are given in the question is the first option. I hope that this is the answer that you were looking for and it has actually come to your help.
Answer:
c
Step-by-step explanation:
c
(2+3i)+2i(2+3i) = 1(2+3i) + 2i(2+3i) = (1+2i)(2+3i)