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HSC Commerce (English Medium) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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Mathematics and Statistics
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Evaluate the following.

`intx^3 e^(x^2) dx`

[5] Integration
Chapter: [5] Integration
Concept: undefined >> undefined

Evaluate the following.

`intx^3/sqrt(1+x^4)  dx`

[5] Integration
Chapter: [5] Integration
Concept: undefined >> undefined

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Evaluate the following.

`intx^3e^(x^2) dx`

[5] Integration
Chapter: [5] Integration
Concept: undefined >> undefined

Evaluate `int (1 + x + x^2/(2!))dx`

[5] Integration
Chapter: [5] Integration
Concept: undefined >> undefined

Choose the correct pair:

Group A Group B
1) Price Index a) `(sump_1q_1)/(sump_0q_0)xx100`
2) Value Index b) `(sumq_1)/(sumq_0)xx100`
3) Quantity Index c) `(sump_1q_1)/(sump_0q_1)xx100`
4) Paasche's Index d) `(sump_1)/(sump_0)xx100`
[13] Index Numbers
Chapter: [13] Index Numbers
Concept: undefined >> undefined

Find `dy/dx` if, `y = x^(e^x)`

[3] Differentiation
Chapter: [3] Differentiation
Concept: undefined >> undefined

Find `dy/dx` if, `y = x^(e^x)`

[3] Differentiation
Chapter: [3] Differentiation
Concept: undefined >> undefined

If f'(x) = 4x3 - 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x)

[5] Integration
Chapter: [5] Integration
Concept: undefined >> undefined

If f′(x) = 4x3 − 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x).

[5] Integration
Chapter: [5] Integration
Concept: undefined >> undefined

Evaluate the following. 

`int x sqrt(1 + x^2)  dx`  

[5] Integration
Chapter: [5] Integration
Concept: undefined >> undefined

Evaluate the following.

`int x^3 e^(x^2) dx` 

[5] Integration
Chapter: [5] Integration
Concept: undefined >> undefined

Evaluate the following.

`intx^3/sqrt(1+x^4)`dx

[5] Integration
Chapter: [5] Integration
Concept: undefined >> undefined

Evaluate the following.

`intx^2e^(4x)dx`

[5] Integration
Chapter: [5] Integration
Concept: undefined >> undefined

Find `dy/dx "if", y = x^(e^x)`

[3] Differentiation
Chapter: [3] Differentiation
Concept: undefined >> undefined

Find `dy/dx` if, `y = x^(e^x)`

[3] Differentiation
Chapter: [3] Differentiation
Concept: undefined >> undefined

Find `dy/(dx)  "if", y = x^(e^(x))` 

[3] Differentiation
Chapter: [3] Differentiation
Concept: undefined >> undefined

Evaluate the following.

`intx^3 e^(x^2)dx`

[5] Integration
Chapter: [5] Integration
Concept: undefined >> undefined

Evaluate `int(1 + x + x^2/(2!))dx`.

[5] Integration
Chapter: [5] Integration
Concept: undefined >> undefined

Evaluate the following.

`intx^3/(sqrt(1 + x^4))dx`

[5] Integration
Chapter: [5] Integration
Concept: undefined >> undefined

Find `dy/(dx)` if, `y = x^(e^x)`

[3] Differentiation
Chapter: [3] Differentiation
Concept: undefined >> undefined
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