Answer:
First term 
Second term 
Third term 
Step-by-step explanation:
Given,
First term 
Second term 
Third term 
Also,







With the value of
, we conclude that the first three terms are as follows:
First term 
Second term 
Third term 
Answer:
4i.
Step-by-step explanation:
To find the flux through the square, we use the divergence theorem for the flux. So Flux of F(x,y) = ∫∫divF(x,y).dA
F(x,y) = hxy,x - yi
div(F(x,y)) = dF(x,y)/dx + dF(x,y)dy = dhxy/dx + d(x - yi)/dy = hy - i
So, ∫∫divF(x,y).dA = ∫∫(hy - i).dA
= ∫∫(hy - i).dxdy
= ∫∫hydxdy - ∫∫idxdy
Since we are integrating along the boundary of the square given by −1 ≤ x ≤ 1, −1 ≤ y ≤ 1, then
∫∫divF(x,y).dA = ∫₋₁¹∫₋₁¹hydxdy - ∫₋₁¹∫₋₁¹idxdy
= h∫₋₁¹{y²/2}¹₋₁dx - i∫₋₁¹[y]₋₁¹dx
= h∫₋₁¹{1²/2 - (-1)/2²}dx - i∫₋₁¹[1 - (-1)]dx
= h∫₋₁¹{1/2 - 1)/2}dx - i∫₋₁¹[1 + 1)]dx
= 0 - i∫₋₁¹2dx
= - 2i[x]₋₁¹
= 2i[1 - (-1)]
= 2i[1 + 1]
= 2i(2)
= 4i
The volume of a cylinder is given by

Let
and 
The new volume becomes

So, the new volume is 8 times the original volume. In fact, volume scales linearly with the height and quadratically with the radius.
Answer:
A. Negative information is given a relatively larger weight than positive information.
Step-by-step explanation:
Among the options enlisted, the fact that negative information is given a relatively larger weight than positive information, signposts the manner in which information is processed by an interviewer.
During the recruitment and/or interview processes, the recruiter is presented with a pool of candidates with varying skills and competencies. The scenario here will be that the recruiter will come up with penciled skills and character to;
1. Streamline and reduce the large number of applicants
2. Ensures that applicants are properly matched with the right jobs
To achieve the foregoing therefore, and considering the large pool of candidates, the interviewer will be highly sensitive to negative information that could pose a threat to the underlying recruitment objective.
You divide 125.6 by 3.14 which = 68.66
That's the diameter. so the nearest cm is 69cm
The radius is half of the diameter so to the nearest cm it is 34cm