Class 12 Maths Volume 2


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Chapter 7 Applications of Differential Calculus
Concept of Rolle's Theorem & Mean Value Theorem
Examples
7.1
7.2
7.3
7.4
7.5
7.6
7.7
7.8
7.9
7.10
7.11
7.12
7.13
7.14
7.15
7.16
7.17
7.18
7.19
7.20
7.21
7.22
7.23
7.24
7.25
7.26
7.27
7.28
7.29
7.30
7.31
7.32
7.33
7.34
7.35
7.36
7.37
7.38
7.39
7.40
7.41
7.42
7.43
7.44
7.45
7.46
7.47
7.48
7.49
7.50
7.51
7.52
7.53
7.54
7.55
7.56
7.57
7.58
7.59
7.60
7.61
7.62
7.63
7.64
7.65
7.66
7.67
7.68
7.69
7.70
7.71
7.72








Exercise 7.1
1
2
3
4
5
6
7
8
9
10
Exercise 7.2
1
2
3
4
5
6
7
8
9
10
Exercise 7.3
1
2
3
4
5
6
7
8
9
10
Exercise 7.4
1
2
3
4






Exercise 7.5
1
2
3
4
5
6
7
8
9
10
11
12








Exercise 7.6
1
2








Exercise 7.7
1
2
3







Exercise 7.8
1
2
3
4
5
6
7
8
9
10
11
12








Exercise 7.9
1
2(i)
2(ii)
2(iii)
2(iv)
2(v)




Exercise 7.10
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20


Chapter 8 Differentials and Partial Derivatives
Examples
8.1
8.2
8.3
8.4
8.5
8.6
8.7
8.8
8.9
8.10
8.11
8.12
8.13
8.14
8.15
8.16
8.17
8.18
8.19
8.20
8.21
8.22








Exercise 8.1
1
2
3
4
5
6
7



Exercise 8.2
1
2
3
4
5
6
7
8
9
10
11









Exercise 8.3
1
2
3
4
5
6
7



Exercise 8.4
1
2
3
4
5
6
7
8
9
10
Exercise 8.5
1
2
3
4
5





Exercise 8.6
1
2
3
4
5
6
7
8
9

Exercise 8.7
1
2
3
4
5
6




Exercise 8.8
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15







Chapter 9 Applications of  Integration
Examples
9.1
9.2
9.3
9.4
9.5
9.6
9.7
9.8
9.9
9.10
9.11
9.12
9.13
9.14
9.15
9.16
9.17
9.18
9.19
9.20
9.21
9.22
9.23
9.24
9.25
9.26
9.27
9.28
9.29
9.30
9.31
9.32
9.33
9.34
9.35
9.36
9.37
9.38
9.39
9.40
9.41
9.42
9.43
9.44
9.45
9.46
9.47
9.48
9.49
9.50
9.51
9.52
9.53
9.54
9.55
9.56
9.57
9.58
9.59
9.60
9.61
9.62
9.63
9.64
9.65
9.66
9.67
9.68
9.69











Exercise 9.1
1
2
3







Exercise 9.2
1









Exercise 9.3
1(i)
1(ii)
1(iii)
1(iv)
1(v)
1(vi)
2(i)
2(ii)
2(iii)
2(iv)
2(v)
2(vi)
2(vii)
2(viii)
2(ix)
2(x)
2(xi)



Exercise 9.4
1
2
3
4






Exercise 9.5
1









Exercise 9.6
1









Exercise 9.7
1
2








Exercise 9.8
1
2
3
4
5
6
7
8
9
10
Exercise 9.9
1
2
3
4
5
6




Exercise 9.10
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20



Chapter 10 Ordinary Differential Equations
Examples
10.1
10.2
10.3
10.4
10.5
10.6
10.7
10.8
10.9
10.10
10.11
10.12
10.13
10.14
10.15
10.16
10.17
10.18
10.19
10.20
10.21
10.22
10.23
10.24
10.25
10.26
10.27
10.28
10.29
10.30
Exercise 10.1
1









Exercise 10.2
1
2








Exercise 10.3
1
2
3
4
5
6
7
8


Exercise 10.4
1
2
3
4
5
6
7
8


Exercise 10.5
1
2
3
4(i)
4 (ii)
 4(iii)
4(iv) 
 4(v)
4(vi)
4(vii) 
4(viii)
4(ix)
4(x)







Exercise 10.6
1
2
3
4
5
6
7
8


Exercise 10.7
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15





Exercise 10.8
1
2
3
4
5
6
7
8
9
10
Exercise 10.9
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25








Chapter 11 Probability Distributions
Examples
11.111.211.311.411.511.611.711.811.911.10
11.11
11.1211.1311.1411.1511.1611.1711.1811.1911.20
11.21
11.22








Exercise 11.1
1
2
3
4
5





Exercise 11.2
1
2
3
4
5
6
7



Exercise 11.3
1
2
3
4
5
6




Exercise 11.4
1
2
3
4
5
6
7
8


Exercise 11.5
1
2
3
4
5
6
7
8
9

Exercise 11.6
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20


Chapter 12 Discrete Mathematics
Examples
12.1
12.2
12.3
12.4
12.5
12.6
12.7
12.8
12.9
12.10
12.11
12.12
12.13
12.14
12.15
12.16
12.17
12.18
12.19

Exercise 12.1
1
2
3
4
5
6
7
8
9
10
Exercise 12.2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15





Exercise 12.3
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20

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