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If the function f x 2x 3-9ax 2+12a 2x+1

WebIf the function f(x)=2x 3−9ax 2+12a 2x+1, where a>0 attains its maximum and minimum at p and q respectively, such that p 2=q, then a equal to A 1 B 2 C 1/2 D 3 Medium Solution Verified by Toppr Correct option is B) Given, f(x)=2x 3−9ax 2+12a 2x+1 Thus f(x)=6x 2−18ax+12a 2 and f (x)=12x−18a For max/ min, 6x 2−18ax+12a 2=0 ⇒x … WebCorrect option is C) Given f(x)=2x 3−9ax 2+12a 2x+1 ⇒f(x)=0 for maximum or minimum ⇒6x 2−18ax+12a 2=0 ⇒x=a,2a (by observation) Also x 2=x 12 (given) ⇒a can not be <0 Now if a>0 then local minimum occurs at x=2a and local maximum at x=a so x 1=a and x 2=2a. Using x 2=x 12 ⇒2a=a 2⇒a 2−2a=0 ⇒a=0,a=2∵a =0 ⇒a=2 is the required value of a

If the function f(x) = 2x^3 - 9mx^2 + 12m^2x + 1 , where m>0 …

Web10 apr. 2016 · Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange WebAlgebra Graph f (x)=1/2x+3 f (x) = 1 2 x + 3 f ( x) = 1 2 x + 3 Rewrite the function as an equation. y = x 2 +3 y = x 2 + 3 Rewrite in slope-intercept form. Tap for more steps... y = … red chin price https://departmentfortyfour.com

If the function `f(x)=2x^3-9ax^2+12a^2x+1` attains its maximum …

WebLatest AIEEE Aptitude Question SOLUTION: f the function f(x) = 2x^3 – 9ax^2 + 12a^2 x + 1, where a > 0 attains its maximum and minimum at p and q respectively such that p^2 = q, then a equals - (A) 3 (B) 1 (C) 2. Follow Quotesrain. Result; Today's Puzzle. Previous Puzzles; Prize & Rules; Discussion Board. WebThis video shows how to solve a quadratic equation by factoring to determine the inputs of a quadratic function for a given output.http://mathispower4u.com Web22 apr. 2024 · For what values of a, the function f(x) = (a + 2)x^3 – 3ax^2 + 9ax – 1 is strictly decreasing for all x in R. asked Nov 26, 2024 in Limit, continuity and differentiability by SumanMandal ( 54.9k points) knight france

If the function f x =2 x 3 9 ax 2+12 a 2 x +1[ a >0] attains its ...

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If the function f x 2x 3-9ax 2+12a 2x+1

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Web28 mei 2024 · Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange WebIf the function f(x)=2x3−9ax2+12a2x+1 where a>0, attains it's maximum and minimum at p and q respectively such that p2 =q then ' a ' equals Q. lf the function f(x)=2x3−9ax2+12a2x+1 where a>0 attains its maximum and minimum at p and q respectively such that, p2=q then a = View More Local Maxima Standard XII Mathematics

If the function f x 2x 3-9ax 2+12a 2x+1

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WebEvaluate the Function f (3)=2x+1 Mathway Algebra Examples Popular Problems Algebra Evaluate the Function f (3)=2x+1 f (3) = 2x + 1 f ( 3) = 2 x + 1 Replace the variable x x … WebUsing ( 1), we get that a 1 = 2 or a 1 = − 2, then a 2 = 0, and a 3 = 0. Checking, we see that both f ( x) = 2 x and f ( x) = − 2 x work. Addition: Using alex.jordan's comment that f ( 2 x) = 2 f ( x), if f ′ ∈ Lip ( α) for some α > 0, i.e. f ∈ Lip ( 1 + α), then these two solutions are the only solutions. Share. Cite.

WebIf f: (2, 3) → (0, 1) is defined by f (x) = x-[x], then f (-1) (x) is equal to ,where [.] represents greatest interger function. Q. The function f : N → N defined by f ( x ) = x − 5 [ x 5 ] , where N is the set of natural numbers and [ x ] denotes … WebWolfram Alpha is a great tool for factoring, expanding or simplifying polynomials. It also multiplies, divides and finds the greatest common divisors of pairs of polynomials; …

Web24 mei 2024 · If the function `f (x)=2x^3-9ax^2+12a^2x+1` attains its maximum and minimum at p and q respectively such that `p^2=q` , then a equals Show more 47:15 Inequalities 03 Different types of... WebAlgebra Graph f (x)=1/2x+3 f (x) = 1 2 x + 3 f ( x) = 1 2 x + 3 Rewrite the function as an equation. y = x 2 +3 y = x 2 + 3 Rewrite in slope-intercept form. Tap for more steps... y = 1 2x+ 3 y = 1 2 x + 3 Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 1 2 1 2 y-intercept: (0,3) ( 0, 3)

WebQuestion 31. The function f(x) = 2x 3 – 9ax 2 + 12a 2 x + 1 where a > 0 attains its maximum and minimum at p and q respectively such that p 2 = q then a equals. a) 3. b) 1. c) 2. d)

Web10 sep. 2024 · Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and … knight frank \u0026 rutley wikipediaWeb14 okt. 2024 · If the function f (x) = 2x3 - 9ax2 + 12a2x + 1, where a > 0, attains its maximum and minimum at p and q respectively, such that p2 = q, then a is equal to (a) 3 … knight frank 4 week summer internshipWeb1. Compute the following limits, if they exist. (a) limx→1 x 2 − 1 x − 1. (b) limx→−3 x 2 − x + 12 x + 3. (c) limt→0 √ 2 − t − √ 2 t. (d) limx→0 1 − cos x x 2. (e) lim x→0+ x 2 ln x (Hint: Find a way how to apply L’Hopital’s rule.) 2. (15 points) Find all horizontal and vertical asymptotes for the following ... knight frank 4 week internship