INTEGRALS NOTES PART 4


 






 











Comments

Post a Comment

Popular posts from this blog

Math Connect Answers with steps

1ANSWERS TO MATH CONNECT, ENGLISH CONNECT, தமிழ் கனெக்ட் EDITION 14 . Find 79² - 21² without full calculation. (79+21)(79-21)=(100)(58)=5800  2. Simplify (225 x 5³ x 2² x 4³)/(3² x 10⁴)      using exponent laws. =5²x 3² x 5³ x 2² x 2⁶)/(3² x 5²x 2²) =5³ x 2⁶=8000  3. Find n if √(512) = n√2 √(256x2)=n√2 16√2=n√2 n=16  4. Simplify 3√2 - 2√3 + 5√2 - 3√3 8√2-5√3  5. Simplify (3x-24)(x²- x - 12)/(x² -5x-24) 3(x-8)(x-4)(x+3)/(x-8)(x+3) =3(x-4)  6. Find (4 x 10⁰ ) + 0.002 + (2 x 10⁻³) +      (40x10⁻³) + (400x10⁻³) 4+.002 + .002 + .04 + 0.4 = 4.444  7. If A:B = 3:5 and B:C = 25:9 then find A:C A/C= (A/B)(B/C)=(3/5)(25/9)=5/3  8. If A:B = 2:7 and C:B =8:3 then find A:B:C  A:B = 2:7 and B:C =3:8 A:B = 2x3 :7x3 and B:C =3x7 : 8x7 A:B:C = 6:21:56  9. Simplify 3a - (2a +3 - 3b) - (4b - 3c +3a) + 5a +12 and find the value of the expression at a=1, b=2and c = -3.  3a - 2a +3 - 3b- 4b - 3c +3a+ 5a +12  Re...
Read more

MATHEMATICS - RELATIONS AND FUNCTIONS - Answers to Exercise 1.2

Image
  MATHEMATICS CLASS 12  RELATIONS AND FUNCTIONS SOLUTIONS TO EXERCISE 1.2 This exercise is about the types of functions. To identify the type of function, either elements like x, y can be used or random values can also be used.  A function f: X -> Y is said to be one-one (or injective), if every element of the domain has one and only one image in the codomain. A function f: X -> Y is said to be onto (surjective) if for every y ∈ Y (codomain) there exists x ∈ X (domain). A function is said to be bijective if it is both one-one and onto. 1. Show that the function f: R∗ -> R∗, defined by f(x) =1/x is one - one and onto where R∗ is the set of all non zero real numbers.  Is the result true, if the domain R∗  is replaced by N with codomain being the same R∗ Let x, y ∈ R∗ such that f(x) = f(y)             f (x)= f(y)            1/x  =  1/y       ⇒  x  =  y There...
Read more

IS MATH REALLY CHALLENGING?

Image
Hello everyone,  Can we manage without MATH or does it have any relevance in our day to day life? This is one of the questions frequently asked by some of my students.  Well I am a MATH tutor handling  junior grades as well as senior grades for the past many years.  Do you want to know how MATH makes an entry in our life even without our knowledge or consent?  Every individual has different desires and ideas. We tend to improve tremendously and perform extraordinarily if we choose to do something that we are passionate about. Here, I am going to talk about the subject that I am passionate about. It is MATH.  Again, it is an individual's cho ice to like a subject but in our educational system, we need to compulsorily learn Math till a certain grade or class for which there are valid reasons.  Beyond class 10,  it is optional. Once we are into class 11, we can choose subjects that are of interest to us. How to handle Math if we are one among those ...
Read more