Calculus

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CALCULUS

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 ...
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