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If functions f(x) and g(x) are continuous on the interval [a, b] and g(x) retain the same sign on [a, b] then there is c ∈ (a , b) such that . This is known as Mean-Value Theorem. This result can be used to estimate some definite integrals. Other results which can be used for estimation are
(i)  If f increases and has a concave graph in the interval [a, b] then

(ii) If f increases and has a convex graph in the interval [a, b] then  
Q. 
Using (iii) (above), the best upper bound of
  • a)
    1.2
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
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If functions f(x) and g(x) are continuous on the interval [a, b] and g...
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If functions f(x) and g(x) are continuous on the interval [a, b] and g(x) retain the same sign on [a, b] then there is c (a , b) such that. This is known as Mean-Value Theorem. This result can be used to estimate some definite integrals. Other results which can be used for estimation are(i) If f increases and has a concave graph in the interval [a, b] then(ii) If f increases and has a convex graph in the interval [a, b] then Q.Using (iii) (above), the best upper bound of a)1.2b)c)d)Correct answer is option 'C'. Can you explain this answer?
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If functions f(x) and g(x) are continuous on the interval [a, b] and g(x) retain the same sign on [a, b] then there is c (a , b) such that. This is known as Mean-Value Theorem. This result can be used to estimate some definite integrals. Other results which can be used for estimation are(i) If f increases and has a concave graph in the interval [a, b] then(ii) If f increases and has a convex graph in the interval [a, b] then Q.Using (iii) (above), the best upper bound of a)1.2b)c)d)Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If functions f(x) and g(x) are continuous on the interval [a, b] and g(x) retain the same sign on [a, b] then there is c (a , b) such that. This is known as Mean-Value Theorem. This result can be used to estimate some definite integrals. Other results which can be used for estimation are(i) If f increases and has a concave graph in the interval [a, b] then(ii) If f increases and has a convex graph in the interval [a, b] then Q.Using (iii) (above), the best upper bound of a)1.2b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If functions f(x) and g(x) are continuous on the interval [a, b] and g(x) retain the same sign on [a, b] then there is c (a , b) such that. This is known as Mean-Value Theorem. This result can be used to estimate some definite integrals. Other results which can be used for estimation are(i) If f increases and has a concave graph in the interval [a, b] then(ii) If f increases and has a convex graph in the interval [a, b] then Q.Using (iii) (above), the best upper bound of a)1.2b)c)d)Correct answer is option 'C'. Can you explain this answer?.
Solutions for If functions f(x) and g(x) are continuous on the interval [a, b] and g(x) retain the same sign on [a, b] then there is c (a , b) such that. This is known as Mean-Value Theorem. This result can be used to estimate some definite integrals. Other results which can be used for estimation are(i) If f increases and has a concave graph in the interval [a, b] then(ii) If f increases and has a convex graph in the interval [a, b] then Q.Using (iii) (above), the best upper bound of a)1.2b)c)d)Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of If functions f(x) and g(x) are continuous on the interval [a, b] and g(x) retain the same sign on [a, b] then there is c (a , b) such that. This is known as Mean-Value Theorem. This result can be used to estimate some definite integrals. Other results which can be used for estimation are(i) If f increases and has a concave graph in the interval [a, b] then(ii) If f increases and has a convex graph in the interval [a, b] then Q.Using (iii) (above), the best upper bound of a)1.2b)c)d)Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If functions f(x) and g(x) are continuous on the interval [a, b] and g(x) retain the same sign on [a, b] then there is c (a , b) such that. This is known as Mean-Value Theorem. This result can be used to estimate some definite integrals. Other results which can be used for estimation are(i) If f increases and has a concave graph in the interval [a, b] then(ii) If f increases and has a convex graph in the interval [a, b] then Q.Using (iii) (above), the best upper bound of a)1.2b)c)d)Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If functions f(x) and g(x) are continuous on the interval [a, b] and g(x) retain the same sign on [a, b] then there is c (a , b) such that. This is known as Mean-Value Theorem. This result can be used to estimate some definite integrals. Other results which can be used for estimation are(i) If f increases and has a concave graph in the interval [a, b] then(ii) If f increases and has a convex graph in the interval [a, b] then Q.Using (iii) (above), the best upper bound of a)1.2b)c)d)Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If functions f(x) and g(x) are continuous on the interval [a, b] and g(x) retain the same sign on [a, b] then there is c (a , b) such that. This is known as Mean-Value Theorem. This result can be used to estimate some definite integrals. Other results which can be used for estimation are(i) If f increases and has a concave graph in the interval [a, b] then(ii) If f increases and has a convex graph in the interval [a, b] then Q.Using (iii) (above), the best upper bound of a)1.2b)c)d)Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If functions f(x) and g(x) are continuous on the interval [a, b] and g(x) retain the same sign on [a, b] then there is c (a , b) such that. This is known as Mean-Value Theorem. This result can be used to estimate some definite integrals. Other results which can be used for estimation are(i) If f increases and has a concave graph in the interval [a, b] then(ii) If f increases and has a convex graph in the interval [a, b] then Q.Using (iii) (above), the best upper bound of a)1.2b)c)d)Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
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