Integrals Part 1


 

Comments

Post a Comment

Popular posts from this blog

Math Connect Answers with steps

Answers with steps to Math Connect Edition 5 Questions  1. 3/9=7/X X= (9 x 7)/3 = 21 2. X% of 60 = 300 (X/100) x 60 = 300 X = (300 x 100)/60 = 500% 3. (99+98)(99-98) = 197 4. (A+B+C ) One day's work = 1/15 (A+C) One day's work= 1/20 B's one day work = (1/15)-(1/20) =(20-15)/300 = 1/60 Number of days needed by B alone to complete  the work is 60 days 5. CP=X, SP=60 P=(X/100) x X  = X²/100 P= SP - CP X²/100=60-X X² = 6000 - 100X X² + 100X - 6000 = 0 Using quadratic formula, X = (-100 +√34000)/2, (Neglect the negative value) X = (-100+184.4)/2 X = 84.4/2 X = 42.2 Rs.42.20 6. 3¹¹ x 3¹¹x 2¹¹x 2¹¹ = 3²² x 2²² = 6²² 7. (1/a) + (1/b) = (b+a)/ab = 10/20 = 1/2 8. (3+6+......+ 45)/15 = 3(1+2+.....15)/15 = (3 x 15 x 16)/ (15 x 2) ( Sum of n consecutive natural numbers is n(n+1)/2 = (3 x 16)/2 = 24 9. 80% of 60 = X % of 96 (80/100) x 60 = (X/100) x 96 80 x 60 = X x 96 X = (80 x 60)/96 X = 50 50% 10. 2/3, 10/9, 14/27, 16/81. HCF (2,10,14,16) = 2 LCM (3,9,27,81) = 81 Therefore HCF of 2/...
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

MATHEMATICS - CONTINUITY AND DIFFERENTIABILITY - CLASS 12

MATHEMATICS  CONTINUITY AND DIFFERENTIABILITY CLASS 12 Calculus is one of the most important topics in Math. Especially class 11 and class 12 students need to have a clear understanding about the concepts present in calculus as it has a widespread application in many fields.  The two main topics required for better understanding of Calculus are Algebra and Trigonometry. This is about the continuity of a function. The continuity of all the six trigonometric ratios have been discussed here. Continuity of other functions like modulus, polynomials have also been explained in detail. Some important NCERT sums on continuity have also been included. Class 12 students can go through this to get an idea of how to prove continuity of a function. Suppose f is a real function on a subset of the real numbers and let c be a point in the domain of f.  Then f  is continuous at c   lim  f(x)  =  f(c)   x→c That is, if lim f(x)   =  f(c)...
Read more