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HSC Arts (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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Integrate the following with respect to the respective variable : `cot^-1 ((1 + sinx)/cosx)`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

Integrate the following w.r.t.x : `x^2/sqrt(1 - x^6)`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

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Integrate the following w.r.t.x : `(1)/((1 - cos4x)(3 - cot2x)`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

Integrate the following w.r.t.x : `(1)/(2cosx + 3sinx)`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

Integrate the following w.r.t.x:

`x^2/((x - 1)(3x - 1)(3x - 2)`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

Integrate the following w.r.t.x : `(1)/(sinx + sin2x)`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

Integrate the following w.r.t.x :  `sec^2x sqrt(7 + 2 tan x - tan^2 x)`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

Integrate the following w.r.t.x: `(x + 5)/(x^3 + 3x^2 - x - 3)`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

Integrate the following w.r.t.x : `sqrt(tanx)/(sinx*cosx)`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

Find the expected value, variance and standard deviation of the random variable whose p.m.f.’s are given below :

x = x 1 2 3
P (X = x) `1/5` `2/5` `2/5`
[14] Probability Distributions
Chapter: [14] Probability Distributions
Concept: undefined >> undefined

Find the expected value, variance and standard deviation of the random variable whose p.m.f.’s are given below :

x = x -1 0 3
P (X = x) `1/5` `2/5` `2/5`
[14] Probability Distributions
Chapter: [14] Probability Distributions
Concept: undefined >> undefined

Find the expected value, variance and standard deviation of the random variable whose p.m.f.’s are given below :

x = x 1 2 3 ... n
P (X = x) `1/n` `1/n` `1/n` ... `1/n`
[14] Probability Distributions
Chapter: [14] Probability Distributions
Concept: undefined >> undefined

Find the expected value, variance, and standard deviation of the random variable whose p.m.f.’s are given below :

x = x 0 1 2 3 4 5
P (X = x) `1/32` `5/32` `10/32` `10/32` `5/32` `1/32`
[14] Probability Distributions
Chapter: [14] Probability Distributions
Concept: undefined >> undefined

The graph of the inequality 3X − 4Y ≤ 12, X ≤ 1, X ≥ 0, Y ≥ 0 lies in fully in

[7] Linear Programming
Chapter: [7] Linear Programming
Concept: undefined >> undefined

Sketch the graph of inequation x ≥ 5y in xoy co-ordinate system

[7] Linear Programming
Chapter: [7] Linear Programming
Concept: undefined >> undefined

Find the graphical solution for the system of linear inequation 2x + y ≤ 2, x − y ≤ 1

[7] Linear Programming
Chapter: [7] Linear Programming
Concept: undefined >> undefined

Find the feasible solution of linear inequation 2x + 3y ≤ 12, 2x + y ≤ 8, x ≥ 0, y ≥ 0 by graphically

[7] Linear Programming
Chapter: [7] Linear Programming
Concept: undefined >> undefined

Find the solution set of inequalities 0 ≤ x ≤ 5, 0 ≤ 2y ≤ 7

[7] Linear Programming
Chapter: [7] Linear Programming
Concept: undefined >> undefined

Examine whether the statement pattern

[p → (∼q ˅ r)] ↔ ∼[p → (q → r)] is a tautology, contradiction or contingency.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

The equation of X axis is ______ 

[6] Line and Plane
Chapter: [6] Line and Plane
Concept: undefined >> undefined
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Question Bank Solutions for Maharashtra State Board HSC Arts (English Medium) इयत्ता १२ वी Mathematics and Statistics
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