Calculus
Calculus
Q NO 1-a)The mean will be lower than the median .
i)Mean Median Mode
Also mode=3 median-2mean
Mean=-1/2 Model+Mode+3/2 Median
Mean=1/2(3Median-Mode)
2Mean<3Median
2/3 Mean
ii) There are no outlines. All the date lies in the given range of observations
The extreme value though can affect the mean but they are not out of the data set
b)
i)Cyclist—15
ii)Pass—22
iii)Pass—35-15=20
iv)Padest—QR=65-20=45
iv)Padest
Q No 2
Y3- 10x4+4xy = 0
3y2 dy/dx - 40x3+ 4 dy/dx = 0
Dy/dx (4 + 3y2) - 40x3 = 0
Dy/dx = 40x3/4+3y2
40/4+12
Dy/dx = 5/2
Y=y1=m(x-x2)
y-2 = 5/2 (x-1)
2y-4 = 5x-5
5x-2y = 1
Q3) x=Ex/n
Ex=o.2329X17
Ex=3.9593
Ey=1357X17
Ey=23069
B2=nExy-ExEy/n(Ex2)-(Ex)2
?xy= 101038.44/17
?xy= 5934.41
562=v?x2/x-(?x/x)2
?x2=36673981
0.0046=?y2/n-(0.2329)2
?y2=1.003
R= x (?xy)-( ?x)( ?y)/ v[x?x2]
Q NO 3
xy=15000
Y= 15000/x
Cost = 5 (2x+y) + 10y
?10x=15y
?10x+15 (15000/x)
Cost ...