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Almonds in hypothetical bag of which we cannot see
Original Figure:
Length = 15
Width = 5
Height = 10
Volume = Length*Width*Height
Volume = 15*5*10
Volume = 750
New Figure
Length = 3
Width = 1
Height = 2
Each dimension has been divided by 5 (eg: 15/5 = 3)
Volume = Length*Width*Height
Volume = 3*1*2
Volume = 6
The old volume was 750 and it changes to 6
Notice how 750/6 = 125
Which can be rearranged to 750/125 = 6
Answer: if you divide the old volume by 125, then you get the new volume
Note: the new volume is 125 times smaller than the old volume
Put another way, the old volume is 125 times larger compared to the new volume
The fact that 125 = 5^3 is not a coincidence. If you divide each dimension by some number k, then you divide the volume by k^3
F =del F, make the distinction its 2 different functions
in this case its a conservative vec field
u can do Del x F or curl F and see its not 0, but anyway, u can also integrate the portion in i wrt to x and portion in j component wrt to y, and see that even with the constants being functions of the variable not being integrated wrt to, you still cannot find a function g such that f(x,y)=del (g)
The Answer is A because if you set it to a proportion you get 1 7/9
X = 7 because it’s 90deg angle
