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If x is real the maximum value of 3x 2

WebWe have, f (x) = 3 x 2 + 6 x + 8 ⇒ f (x) = 3 (x 2 + 2 x + 1) + 5 = 3 (x + 1) 2 + 5. Now, 3 (x + 1) 2 ≥ 0 for all x ∈ R ⇒ 3 (x + 1) 2 + 5 ≥ 5 for all x ∈ R ⇒ f (x) ≥ f (− 1) for all x ∈ R. Thus, 5 is the minimum value of f (x) which it attains at x = − 1. Since, f (x) can be made as large as we please. Therefore, the ... Web(- 3x 2 + 3x + 4) Concept used: dy/dx = 0, the value of x gives the minimum value when d 2 y/dx 2 is greater than 0, and gives the maximum value when d 2 y/dx 2 is less than 0 Calculation: (- 3x 2 + 3x + 4) ---- (i) Differentiating (i), dy/dx = 0 ⇒ - 6x + 3 = 0 ---- (ii) ⇒ x = 1/2 By double differentiating equation (ii), d 2 y/dx 2 = - 6 < 0

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WebFirst of all, distribute the fraction. (3x^2+9x+17)/ (3x^2+9x+7) = 1 + 10/ (3x^2+9x+7) Now, for this sum to be Maximum, the fraction should be at its maximum value. For this to happen, the denominator of the fraction should be at its minimum. Consider the polynomial 3x^2+9x+7. Try to make the polynomial a Perfect Square. WebCorrect option is C) y= x 2+2x+3x 2+14x+9=1+ x 2+2x+312x+6 y= (x 2+2x+3) 2(x 2+2x+3)(12)−(12x+6)(2x+2) y= (x 2+2x+3) 2−12x 2−12x+24. for max-min, y=0. so, x … oxford physical therapy cincinnati oh https://sullivanbabin.com

If x is real the maximum value of 3x^2+9x+17/3x^2+9x+7 is

Web27 mrt. 2024 · answered Mar 27, 2024 by Niharika (75.9k points) selected Mar 28, 2024 by Vikash Kumar. Best answer. ⇒ 2yx2 + 3yx + 6y = x + 2. ⇒ 2yx2 + (3y – 1) x + 6y – 2 = 0. … WebCalculation: ⇒ Let y = \(\dfrac{(x^2-2x+4)}{(x^2+2x+4)}\) \(⇒ y(x^2+2x+4) = x^2-2x+4)\) \(⇒x^2 (y-1)+x(2y+2)+4y-4=0 )\) Since x is real, the discriminant of the ... Web14 okt. 2024 · If x is real, then maximum value of (3x2 + 9x + 17)/ (3x2 + 9x + 7) is (a) 41 (b) 1 (c) 17/7 (d) 1/4 limits continuity and differntiability jee jee mains 1 Answer +1 vote answered Oct 14, 2024 by KajalAgarwal (44.7k points) selected Oct 16, 2024 by Vikash Kumar Best answer Correct Option (a) 41 Explanation: ← Prev Question Next Question → oxford physical therapy maineville ohio

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If x is real the maximum value of 3x 2

If x is real, then maximum value of (3x^2 + 9x - Sarthaks

WebIf x is real, the maximum value of expression (x 2 + 14x + 9) / (x 2 + 2x + 3) will be what?. Algebra is the branch of maths dealing with expressions and variables.It has many applications. In this article, we will calculate the maximum value of the given expression. Web26 apr. 2024 · Maximum value is 3 at x = − 1 and minimum value is 1 3 when x = 1 Explanation: Let f (x) = x2 − x + 1 x2 + x + 1 Observe that lim x→±∞ x2 −x +1 x2 +x +1 = lim x→±∞ 1 − 1 x + 1 x2 1 + 1 x + 1 x2 = 1 Now df dx = (x2 + x +1)(2x − 1) − (x2 −x +1)(2x +1) (x2 + x + 1)2 = 2x3 + x2 +x − 1 − (2x3 − x2 +x +1) (x2 +x + 1)2 = 2x2 −2 (x2 + x + 1)2

If x is real the maximum value of 3x 2

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Web1 apr. 2024 · Solution For Q.24 If α,β,γ are the roots of the equation x3+x+1=0, then the value of α3β1y3 Q.25 If x is real, then the maximum and minimum values of the expression x2+3x+4x2−3x+4 will be. WebThe absolute maximum value of the function occurs at the higher peak, at x = 2. However, x = 0 is also a point of interest. Although f(0) is not the largest value of f, the value f(0) is larger than f(x) for all x near 0. We say f has a local maximum at x = 0.

WebAn accessible guide for beginner-to-intermediate programmers to concepts, real-world applications, and latest featu... By Mark J. Price. Nov 2024. 818 pages. Machine Learning with PyTorch and Scikit-Learn. This book of the bestselling and widely acclaimed Python Machine Learning series is a comprehensive guide to machin... WebAnswer (1 of 4): For a,b > 0, a+b \geq 2\sqrt{ab} , equality occurs when a=b \therefore x+\frac{1}{3x} \geq 2\sqrt{\frac{1}{3}} = \frac{2}{\sqrt{3}}. Equality occurs ...

Web4 mei 2024 · Sorted by: 1. Since x 2 y 2 − 1 2 y − 1 = 3 x, x 2 y 2 − 1 = 6 x y − 3 x x 2 y 2 − 6 x y + ( 3 x − 1) = 0. As y is real, the discriminant of the above equation (in y) is non … WebPolynomial. In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7.

WebIf x is real, find the maximum and minimum values of x 2 + 2 x + 3 x 2 + 1 4 x + 9 . (b) Prove that for any real values of x the expression x 2 + b x + c 2 x + a will have any …

Webx is real. -3x 2 + 5x + 10 Concept used: For quadratic polynomial ax 2 + bx + c, When a < 0 Maximum value = (4ac - b 2 )/4a Calculation: -3x 2 + 5x + 10 Compare the above equation with quadratic polynomial ax 2 + bx + c. a = -3, b = 5, c = 10 Here, a < 0 so Maximum value = (4ac - b 2 )/4a ⇒ Maximum value = {4 × (-3) × 10 - 25)}/ (-12) jeff robertson townebankWeb11 aug. 2016 · 4 y = 3x^2 - x^3 y' = 6x - 3x^2 = 3x(2 - x) y' = 0 implies x = 0, 2 y'' = 6 - 6x = 6(1-x) y''(0) = 6 > 0 a min y''(2) = -6 < 0 ie a max y(2) = 4, the max value of y graph{3x^2 - x^3 [-12.66, 12.66, -6.33, 6.33]} Calculus Graphing with the First Derivative Identifying Stationary Points (Critical Points) for a Function jeff robinson attorneyWeb19 aug. 2024 · If x is real, then the maximum value 4+3x-x^2 will be equal to please help me out Advertisement Anupk3724 Answer: To find stationary points, differentiate and set … jeff robertson bicyclist on maui