Advertisements
Advertisements
Choose the correct alternative:
`int (x + 2)/(2x^2 + 6x + 5) "d"x = "p"int (4x + 6)/(2x^2 + 6x + 5) "d"x + 1/2 int 1/(2x^2 + 6x + 5)"d"x`, then p = ?
Concept: Methods of Integration: Integration Using Partial Fractions
If y = P eax + Q ebx, show that
`(d^y)/(dx^2)=(a+b)dy/dx+aby=0`
Concept: General and Particular Solutions of a Differential Equation
From a lot of 15 bulbs which include 5 defectives, a sample of 4 bulbs is drawn one by one with replacement. Find the probability distribution of number of defective bulbs. Hence find the mean of the distribution.
Concept: Random Variables and Its Probability Distributions
Find the symbolic form of the following switching circuit, construct its switching table and interpret it.
Concept: Application of Logic to Switching Circuits
Write the following compound statement symbolically.
Nagpur is in Maharashtra and Chennai is in Tamil Nadu.
Concept: Logical Connective, Simple and Compound Statements
Write the following compound statement symbolically.
Nagpur is in Maharashtra and Chennai is in Tamil Nadu.
Concept: Logical Connective, Simple and Compound Statements
Use quantifiers to convert the following open sentences defined on N, into a true statement.
n2 ≥ 1
Concept: Quantifier and Quantified Statements in Logic
Which of the following is not a statement?
Concept: Truth Value of Statement
Examine whether the following statement pattern is a tautology, a contradiction or a contingency.
(p ∧ ~ q) → (~ p ∧ ~ q)
Concept: Statement Patterns and Logical Equivalence
The false statement in the following is ______.
Concept: Statement Patterns and Logical Equivalence
State the truth Value of x2 = 25
Concept: Truth Value of Statement
Write the converse and contrapositive of the following statements.
“If a function is differentiable then it is continuous”
Concept: Statement Patterns and Logical Equivalence
Find the symbolic form of the following switching circuit, construct its switching table and interpret it.
Concept: Application of Logic to Switching Circuits
Write the following compound statement symbolically.
Nagpur is in Maharashtra and Chennai is in Tamil Nadu.
Concept: Logical Connective, Simple and Compound Statements
Use quantifiers to convert the following open sentences defined on N, into a true statement.
n2 ≥ 1
Concept: Quantifier and Quantified Statements in Logic
Which of the following is not a statement?
Concept: Truth Value of Statement
Examine whether the following statement pattern is a tautology, a contradiction or a contingency.
(p ∧ ~ q) → (~ p ∧ ~ q)
Concept: Statement Patterns and Logical Equivalence
The false statement in the following is ______.
Concept: Statement Patterns and Logical Equivalence
State the truth Value of x2 = 25
Concept: Truth Value of Statement
Write the converse and contrapositive of the following statements.
“If a function is differentiable then it is continuous”
Concept: Statement Patterns and Logical Equivalence
