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Out of 50 students in a class, 10 students like Maths but not Science and 15 students like Science not Maths. If 10 students like neither of both subjects. Show the information in venn diagram.F...

L Hospital's Rule

limx→4x2−16x−4limx→∞4x2−5x1−3x2limx→4⁡x2−16x−4limx→∞⁡4x2−5x1−3x2In the first limit if we plugged in x=4x=4 we would get 0/0 and in the second limit if we “plugged” in infinity we would get ∞/−∞∞/−∞...

Test the closure, associative and commutative properties for the operation defined by m*n=m+n+1 ,m,n ϵ Z.


Mathematics Open Book Exam

1. Using properties of determinant, show that:2. In any triangle ABC, state and prove tangent law and thence prove that the triangle is either isosceles or right angled if: 3. Which center (orthoce...

Use of logarithm in differentiating a function

Logarithm function:In mathematics, the logarithm is the  That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised inverse function to e...

Test the periodicity of the following function and find it's period.1) f(x)=sin2x

Mathematics Exam Paper ~ 2078

Rewrite the correct option in your answer sheet.1. If f(x) = x2 + kx + 1 for all x and f is an even function then the value of K is equal to(a) 1 (b) 2 (c) 0 (d) -12. If A = [-2, 4) and B = (2, 5] ...

Rolle's Theorem and Mean Value Theorem

Rolle's Theorem:If the function f(x) is1) continuous in the closed interval [a,b]2) differentiable in the open interval (a,b)3) f(a)=f(b)then there exists at least one point c belonging to (a,b) ...

Which of the following sentence are statement? Find the truth value of those sentences which are statements.Kathmandu is the capital of Nepal.Nepal exports oil.3+5=8Where do you live?Understand log...

  1. Statement; true
  2. Statement; false
  3. Statement; true
  4. Interrogative sentence; not a statement
  5. Imperative sentence; not a statement
  6. Exclamatory sentence; not a statement

Newton-Raphson's Method

↪ The Newton-Raphson’s Method or Newton’s Method is a powerful technique for solving equations numerically. ↪ Let f(x) be a well-behaved function and let x be a root of the equation f(x) = 0. We st...

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