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HSC Science (General) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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Mathematics and Statistics
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Answer the following:

Solve the following for x, where |x| is modulus function, [x] is greatest interger function, {x} is a fractional part function

|x2 − x − 6| = x + 2

[2.6] Functions
Chapter: [2.6] Functions
Concept: undefined >> undefined

Answer the following:

Solve the following for x, where |x| is modulus function, [x] is greatest interger function, {x} is a fractional part function

|x2 − 9| + |x2 − 4| = 5

[2.6] Functions
Chapter: [2.6] Functions
Concept: undefined >> undefined

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Answer the following:

Solve the following for x, where |x| is modulus function, [x] is greatest interger function, {x} is a fractional part function

2[2x − 5] − 1 = 7

[2.6] Functions
Chapter: [2.6] Functions
Concept: undefined >> undefined

Answer the following:

Solve the following for x, where |x| is modulus function, [x] is greatest interger function, {x} is a fractional part function

[x2] − 5[x] + 6 = 0

[2.6] Functions
Chapter: [2.6] Functions
Concept: undefined >> undefined

Answer the following:

Solve the following for x, where |x| is modulus function, [x] is greatest interger function, {x} is a fractional part function

[x − 2] + [x + 2] + {x} = 0

[2.6] Functions
Chapter: [2.6] Functions
Concept: undefined >> undefined

Answer the following:

Solve the following for x, where |x| is modulus function, [x] is greatest interger function, {x} is a fractional part function

`[x/2] + [x/3] = (5x)/6`

[2.6] Functions
Chapter: [2.6] Functions
Concept: undefined >> undefined

Answer the following:

Find the domain of the following function.

f(x) = `sqrt(1 - sqrt(1 - sqrt(1 - x^2)`

[2.6] Functions
Chapter: [2.6] Functions
Concept: undefined >> undefined

Answer the following:

Find (f ° g) (x) and (g ° f) (x)

f(x) = ex, g(x) = log x

[2.6] Functions
Chapter: [2.6] Functions
Concept: undefined >> undefined

Answer the following:

Find f(x) if g(x) = x2 + x – 2 and (g ° f) (x) = 4x2 – 10x + 4

[2.6] Functions
Chapter: [2.6] Functions
Concept: undefined >> undefined

Answer the following:

Find f(x) if g(x) = `1 + sqrt(x)` and f[g(x)] = `3 + 2sqrt(x) + x`

[2.6] Functions
Chapter: [2.6] Functions
Concept: undefined >> undefined

Answer the following:

Find (f ° f) (x) if f(x) = `x/sqrt(1 + x^2)`

[2.6] Functions
Chapter: [2.6] Functions
Concept: undefined >> undefined

Answer the following:

Find (f ° f) (x) if f(x) = `(2x + 1)/(3x - 2)`

[2.6] Functions
Chapter: [2.6] Functions
Concept: undefined >> undefined

Evaluate the following limit:

`lim_(z -> 2) [(z^2 - 5z + 6)/(z^2 - 4)]`

[2.7] Limits
Chapter: [2.7] Limits
Concept: undefined >> undefined

Evaluate the following limit :

`lim_(x -> -3)[(x + 3)/(x^2 + 4x + 3)]`

[2.7] Limits
Chapter: [2.7] Limits
Concept: undefined >> undefined

Evaluate the following limit :

`lim_(y -> 0)[(5y^3 + 8y^2)/(3y^4 - 16y^2)]`

[2.7] Limits
Chapter: [2.7] Limits
Concept: undefined >> undefined

Evaluate the following limit :

`lim_(x -> -2) [(-2x - 4)/(x^3 + 2x^2)]`

[2.7] Limits
Chapter: [2.7] Limits
Concept: undefined >> undefined

Evaluate the following limit :

`lim_(x -> 3) [(x^2 + 2x - 15)/(x^2 - 5x + 6)]`

[2.7] Limits
Chapter: [2.7] Limits
Concept: undefined >> undefined

Evaluate the following limit :

`lim_(u -> 1) [(u^4 - 1)/(u^3 - 1)]`

[2.7] Limits
Chapter: [2.7] Limits
Concept: undefined >> undefined

Evaluate the following limit :

`lim_(x -> 3) [1/(x - 3) - (9x)/(x^3 - 27)]`

[2.7] Limits
Chapter: [2.7] Limits
Concept: undefined >> undefined

Evaluate the following limit :

`lim_(x -> 2)[(x^3 - 4x^2 + 4x)/(x^2 - 1)]`

[2.7] Limits
Chapter: [2.7] Limits
Concept: undefined >> undefined
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