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Gaya Nayomi

Level 1 ( Top Rated )Senior Lecturer-University of Sri Jayewardenepura
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  1. Asked: March 12, 2023In: Mensuration ( මිණිතය )

    Searching for Easy Tip

    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on March 23, 2023 at 4:12 pm

    ~MetaHub Panel for Teachers' Forum              

    ~MetaHub Panel for Teachers’ Forum

     

     

     

     

     

     

     

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  2. Asked: February 23, 2023In: Algebra ( වීජ ගණිතය )

    Composite functions

    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on March 18, 2023 at 8:17 pm
    This answer was edited.

    The answer you have provided to your own question #1 is not the answer to the question you have asked. You have explained a procedural step to find the composite function f(g(x)) (when it exists) when f(x) and g(x) are given. But your question (which is not clearly stated), we think, is about the coRead more

    1. The answer you have provided to your own question #1 is not the answer to the question you have asked. You have explained a procedural step to find the composite function f(g(x)) (when it exists) when f(x) and g(x) are given. But your question (which is not clearly stated), we think, is about the conditions under which a composite function exists. Assuming it is “What are the conditions required for f(g(x)) to exist?”, the answer is as follows:

              Conditions for f(g(x)) to exist are,

              * the range of g(x) must be a subset of the domain of f(x)

                    Or

               *f(g(x)) must be defined with the domain of g(x) restricted so that its range is a subset of the domain of f(x).

         2. This has been already answerd in the response to #1.

         3. This question makes no sense. (what’s k?)

    ~MetaHub Panel for the Teachers’ Forum

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  3. Asked: February 24, 2023In: Arithmetic ( අංක ගණිතය )

    Trigonometry

    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on March 17, 2023 at 1:21 pm

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  4. Asked: February 24, 2023In: Arithmetic ( අංක ගණිතය )

    Irrationality of the constant e of exponential function.

    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on March 16, 2023 at 8:23 pm

    What you should be teaching your students is not that "the sum of rational numbers is rational", but, "the sum of two rational numbers is rational" which you can extend, using the principle of mathematical induction, to "the sum of a *finite* number of rational numbers is rational". It should be cleRead more

    What you should be teaching your students is not that “the sum of rational numbers is rational”, but, “the sum of two rational numbers is rational” which you can extend, using the principle of mathematical induction, to “the sum of a *finite* number of rational numbers is rational”.

    It should be clear that this claim cannot be extended to *infinite* sums blindly. In fact, by definition, an infinite sum is actually the limit of a finite sum (partial sums).

    “e” is a counterexample for this. The infinite sum of rational numbers need not necessarily be a rational number. 

    ~MetaHub Panel for Teachers’ Forum

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  5. Asked: March 12, 2023In: Mensuration ( මිණිතය )

    Searching for Easy Tip

    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on March 13, 2023 at 11:29 am

    There is a webinar on the number Pi tomorrow (14th) at 6 pm where these topics will be touched. We invite you to join that. The link is on the home page on MetaHub. https://learn.zoom.us/j/63881167775?pwd=YU5WeFFLcFJOM3M0NDhNUFB3Wk54QT09 We'll wait to see what other teachers have to say on this (whaRead more

    There is a webinar on the number Pi tomorrow (14th) at 6 pm where these topics will be touched. We invite you to join that. The link is on the home page on MetaHub.

    https://learn.zoom.us/j/63881167775?pwd=YU5WeFFLcFJOM3M0NDhNUFB3Wk54QT09

    We’ll wait to see what other teachers have to say on this (what techniques they use) and our reply will be posted in a few days time.

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  6. Asked: February 25, 2023In: Calculus ( කලනය )

    Extreme points in terms of first derivative

    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on March 1, 2023 at 9:01 pm

    Dear teachers, we invite all of you to express your answers to this question. By taking part in these discussions you can collect points which would help us identify active participants of MetaHub who we can invite in the furture for physical gatherings.

    Dear teachers, we invite all of you to express your answers to this question. By taking part in these discussions you can collect points which would help us identify active participants of MetaHub who we can invite in the furture for physical gatherings.

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  7. Asked: February 25, 2023In: Combinatorics ( සංකරන හා සංයෝජන )

    Geometrical approach in combinatorics

    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on March 1, 2023 at 8:55 pm

    First, we would like to see what other teachers have to say in response to this. Let us create a conversation around this question.

    First, we would like to see what other teachers have to say in response to this. Let us create a conversation around this question.

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  8. Asked: February 28, 2023In: Calculus ( කලනය )

    ඒක පාර්ශවික සීමා

    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on March 1, 2023 at 8:53 pm

    පළමුව අපි ආරාධනා කරනවා අනිත් ගුරුවරුන්ට මෙම ප්‍රශ්නය සාකච්චාවට භාජනය කරන ලෙස. ඔබේ අදහස් මෙහි පල කරන්න.

    පළමුව අපි ආරාධනා කරනවා අනිත් ගුරුවරුන්ට මෙම ප්‍රශ්නය සාකච්චාවට භාජනය කරන ලෙස. ඔබේ අදහස් මෙහි පල කරන්න.

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  9. Asked: February 15, 2023In: Vectors ( දෛශික )

    Combined maths

    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Added an answer on February 23, 2023 at 6:27 pm

    ඔබ අසා ඇති ගැටලුව සඳහා, ගැටලුව තුල දෛශික ක්‍රම භාවිතයකින් තොරව ඒ සඳහා විසඳුම ලබා දෙන ලෙස ප්‍රකාශ කර නොමැති නම්, එය නිවැරදි විසඳුමක් ලෙස ගත යුතුය.

    ඔබ අසා ඇති ගැටලුව සඳහා, ගැටලුව තුල දෛශික ක්‍රම භාවිතයකින් තොරව ඒ සඳහා විසඳුම ලබා දෙන ලෙස ප්‍රකාශ කර නොමැති නම්, එය නිවැරදි විසඳුමක් ලෙස ගත යුතුය.

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  10. Asked: February 13, 2023In: Arithmetic ( අංක ගණිතය )

    Fractions

    Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    Replied to answer on February 21, 2023 at 9:43 pm

    You are most welcome Sujeewani! This collection is the same as the collection of odd numbers. For grade 6, according to their syllabus content, it will be suitable for their to grade level to say that the smallest such positive integer is 1. That is, the smallest positive odd number. Keep sending yoRead more

    You are most welcome Sujeewani!

    This collection is the same as the collection of odd numbers. For grade 6, according to their syllabus content, it will be suitable for their to grade level to say that the smallest such positive integer is 1. That is, the smallest positive odd number.

    Keep sending your questions or doubts in teaching. We are delighted to help! 🙂

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