Question

Find the range of $f(x) = 3x^4 - 16x^3 + 18x^2 + 5$ without applying differential calculus

score 1k · Answer 1 · 2017-05-30 13:16:36

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Find the range of $f(x) = 3x^4 - 16x^3 + 18x^2 + 5$ without applying differential calculus

Published on 30 May 2017 - 13:16

score 109 · Answer 2 · 2017-05-30 20:38:41

109

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maximizing an alternating sum with reciprocals

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score 58 · Answer 3 · 2026-04-03 06:33:56

58

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Maxima and Minima of a Funny Looking Graph

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score 65 · Answer 4 · 2026-04-01 18:56:05

65

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If a function is defined by $f(x)=\arcsin(\sin(\frac{x+\sin x}{2}))~\forall x\in[0,\pi]$ then

Published on 01 Apr 2026 - 18:56

score 566 · Answer 5 · 2017-06-01 11:57:11

566

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Maximum and minimum for piecewise function

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score 44 · Answer 6 · 2017-06-01 15:47:19

44

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Find the minimum of $P=\sum _{cyc}\frac{x+1}{1+y^2}$ under the constraints $x+y+z=3, x>0,y>0,z>0$

Published on 01 Jun 2017 - 15:47

score 59 · Answer 7 · 2017-06-02 04:18:54

59

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Find $M+m$, if $m\le(\frac{1}{3}x^3-x^2+\frac{2}{3})\cos^{2017}{(\frac{\pi}{3}x+\frac{2\pi}{3})}+2x+3\le M$

Published on 02 Jun 2017 - 4:18

score 93 · Answer 8 · 2026-03-28 11:48:15

93

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Finding the maximum and minimum of $f(x,y)= y(1-x^2-y^2)$ on $D:=${$(x,y)|x^2+y^2 \leq 1$} with extreme value theorem

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score 2.2k · Answer 9 · 2026-04-04 02:11:13

2.2k

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minimizing vectors

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score 3k · Answer 10 · 2017-06-06 14:11:28

3k

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Counting total number of local maxima and minima of a function

Published on 06 Jun 2017 - 14:11

score 40 · Answer 11 · 2017-06-07 03:32:13

40

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if two functions attain maximum at common point, will the sum of the two functions also attain maximum at the common point?

Published on 07 Jun 2017 - 3:32

score 5.7k · Answer 12 · 2026-04-06 21:01:34

5.7k

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What is the minimum area of triangle

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score 128 · Answer 13 · 2017-06-08 19:31:37

128

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Find the maximum value of the product $\ x_1^2 x_2^2\cdots x_n^2$

Published on 08 Jun 2017 - 19:31

score 158 · Answer 14 · 2026-03-30 13:37:23

158

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Minimum value of $4r + 5 r^2$

Published on 30 Mar 2026 - 13:37

score 182 · Answer 15 · 2017-06-09 09:06:04

182

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finding minimum of function with 2 independant variables

Published on 09 Jun 2017 - 9:06

List Question

Find the range of $f(x) = 3x^4 - 16x^3 + 18x^2 + 5$ without applying differential calculus

maximizing an alternating sum with reciprocals

Maxima and Minima of a Funny Looking Graph

If a function is defined by $f(x)=\arcsin(\sin(\frac{x+\sin x}{2}))~\forall x\in[0,\pi]$ then

Maximum and minimum for piecewise function

Find the minimum of $P=\sum _{cyc}\frac{x+1}{1+y^2}$ under the constraints $x+y+z=3, x>0,y>0,z>0$

Find $M+m$, if $m\le(\frac{1}{3}x^3-x^2+\frac{2}{3})\cos^{2017}{(\frac{\pi}{3}x+\frac{2\pi}{3})}+2x+3\le M$

Finding the maximum and minimum of $f(x,y)= y(1-x^2-y^2)$ on $D:=${$(x,y)|x^2+y^2 \leq 1$} with extreme value theorem

minimizing vectors

Counting total number of local maxima and minima of a function

if two functions attain maximum at common point, will the sum of the two functions also attain maximum at the common point?

What is the minimum area of triangle

Find the maximum value of the product $\ x_1^2 x_2^2\cdots x_n^2$

Minimum value of $4r + 5 r^2$

finding minimum of function with 2 independant variables

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