Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
41857	Find the Absolute Max and Min over the Interval	f(x)=(2x+5)/3 , [0,5]	$f (x) = \frac{2 x + 5}{3}$ , $[0, 5]$
41858	Find the Absolute Max and Min over the Interval	f(x)=x^4-x^2+x	$f (x) = x^{4} - x^{2} + x$
41859	Find the Absolute Max and Min over the Interval	f(x)=-3\|x\|	$f (x) = - 3 \| x \|$
41860	Find the Absolute Max and Min over the Interval	f(x)=x^2-10 on -3 , 4	$f (x) = x^{2} - 10$ on $- 3$ , $4$
41861	Find the Absolute Max and Min over the Interval	f(x)=xe^(x/2) , [-3,1]	$f (x) = x e^{\frac{x}{2}}$ , $[- 3, 1]$
41862	Find the Absolute Max and Min over the Interval	f(x)=(2x^(5/2))/5-(2x^(3/2))/3-6 , [0,4]	$f (x) = \frac{2 x^{\frac{5}{2}}}{5} - \frac{2 x^{\frac{3}{2}}}{3} - 6$ , $[0, 4]$
41863	Find the Absolute Max and Min over the Interval	1/x	$\frac{1}{x}$
41864	Find the Absolute Max and Min over the Interval	y=6-2x^2 , [-3,3]	$y = 6 - 2 x^{2}$ , $[- 3, 3]$
41865	Find the Absolute Max and Min over the Interval	y=4 cube root of x-1-3 ; [-10,10]	$y = 4 \sqrt[3]{x - 1} - 3$ ; $[- 10, 10]$
41866	Find the Absolute Max and Min over the Interval	f(x)=(x+1)/(x^2+3) , -1<=x<=2	$f (x) = \frac{x + 1}{x^{2} + 3}$ , $- 1 \leq x \leq 2$
41867	Find the Absolute Max and Min over the Interval	2x^3+3x^2-12x+5	$2 x^{3} + 3 x^{2} - 12 x + 5$
41868	Find the Absolute Max and Min over the Interval	f(x)=-1/x , -2<=x<=-1	$f (x) = - \frac{1}{x}$ , $- 2 \leq x \leq - 1$
41869	Find the Absolute Max and Min over the Interval	f(x)=sin(x)cos(x) , [0,2pi]	$f (x) = \sin (x) \cos (x)$ , $[0, 2 π]$
41870	Find the Absolute Max and Min over the Interval	f(theta)=sin(theta) , -pi/2<=theta<=(5pi)/6	$f (θ) = \sin (θ)$ , $- \frac{π}{2} \leq θ \leq \frac{5 π}{6}$
41871	Find the Absolute Max and Min over the Interval	f(x)=2x-5/x on 5 , 7	$f (x) = 2 x - \frac{5}{x}$ on $5$ , $7$
41872	Find the Absolute Max and Min over the Interval	f(x)=-x^3+8x^2-15x	$f (x) = - x^{3} + 8 x^{2} - 15 x$
41873	Find the Absolute Max and Min over the Interval	x^3-3x^2+12 , [-2,4]	$x^{3} - 3 x^{2} + 12$ , $[- 2, 4]$
41874	Find the Absolute Max and Min over the Interval	f(x)=2(3-x) , [-1,2]	$f (x) = 2 (3 - x)$ , $[- 1, 2]$
41875	Find the Absolute Max and Min over the Interval	f(x)=3sin(x)cos(x) , [pi/4,pi]	$f (x) = 3 \sin (x) \cos (x)$ , $[\frac{π}{4}, π]$
41876	Find the Absolute Max and Min over the Interval	2x^3+3x^2-12x	$2 x^{3} + 3 x^{2} - 12 x$
41877	Find the Absolute Max and Min over the Interval	f(x)=x^3-x-1 ; between 1 and 2	$f (x) = x^{3} - x - 1$ ; between $1$ and $2$
41878	Find the Absolute Max and Min over the Interval	g(x) = cube root of x , [-8,8]	$g (x) = \sqrt[3]{x}$ , $[- 8, 8]$
41879	Find the Absolute Max and Min over the Interval	f(x)=x^2-x-3 on 0 , 3	$f (x) = x^{2} - x - 3$ on $0$ , $3$
41880	Find the Absolute Max and Min over the Interval	f(x)=x^2-12 on -3 , 4	$f (x) = x^{2} - 12$ on $- 3$ , $4$
41881	Find the Absolute Max and Min over the Interval	( natural log of x)/x	$\frac{\ln (x)}{x}$
41882	Find the Absolute Max and Min over the Interval	h(x)=x^(1/5)-8 , [-32,1]	$h (x) = x^{\frac{1}{5}} - 8$ , $[- 32, 1]$
41883	Find the Absolute Max and Min over the Interval	x^3-3x+1	$x^{3} - 3 x + 1$
41884	Find the Absolute Max and Min over the Interval	f(x)=sin(x)^2 on [0,pi]	$f (x) = \sin^{2} (x)$ on $[0, π]$
41885	Find the Absolute Max and Min over the Interval	f(x)=-2x^3+21x^2-36x on 0 , 7	$f (x) = - 2 x^{3} + 21 x^{2} - 36 x$ on $0$ , $7$
41886	Find the Absolute Max and Min over the Interval	f(x)=7x^2+1 , [-1,2]	$f (x) = 7 x^{2} + 1$ , $[- 1, 2]$
41887	Find the Absolute Max and Min over the Interval	f(x)=x^3-x-4 ; between 1 and 7	$f (x) = x^{3} - x - 4$ ; between $1$ and $7$
41888	Find the Absolute Max and Min over the Interval	f(x)=7/x , x>=7	$f (x) = \frac{7}{x}$ , $x \geq 7$
41889	Find the Absolute Max and Min over the Interval	f(x)=9x^(2/3)-x on 0 , 729	$f (x) = 9 x^{\frac{2}{3}} - x$ on $0$ , $729$
41890	Find the Absolute Max and Min over the Interval	f(x)=x^4-20x^3+28x^2-4 , [-1,2]	$f (x) = x^{4} - 20 x^{3} + 28 x^{2} - 4$ , $[- 1, 2]$
41891	Find the Absolute Max and Min over the Interval	f(x) = square root of x^2-25	$f (x) = \sqrt{x^{2} - 25}$
41892	Find the Absolute Max and Min over the Interval	y=x^4-2x^2	$y = x^{4} - 2 x^{2}$
41893	Find the Absolute Max and Min over the Interval	f(x)=2/(x^4-16)	$f (x) = \frac{2}{x^{4} - 16}$
41894	Find the Absolute Max and Min over the Interval	g(t)=t/(t-8) on 10 , 12	$g (t) = \frac{t}{t - 8}$ on $10$ , $12$
41895	Find the Absolute Max and Min over the Interval	f(x)=x^(2/3) ; [-27,27]	$f (x) = x^{\frac{2}{3}}$ ; $[- 27, 27]$
41896	Find the Absolute Max and Min over the Interval	y=x+sin(x) , 0<=x<=2pi	$y = x + \sin (x)$ , $0 \leq x \leq 2 π$
41897	Find the Absolute Max and Min over the Interval	f(x)=3x^4-x^6 , [-1,2]	$f (x) = 3 x^{4} - x^{6}$ , $[- 1, 2]$
41898	Find the Absolute Max and Min over the Interval	( natural log of x)/x	$\frac{\ln (x)}{x}$
41899	Find the Absolute Max and Min over the Interval	f(x)=(2x^(5/2))/5-(4x^(3/2))/3-(x^2)/2+5 , [0,5]	$f (x) = \frac{2 x^{\frac{5}{2}}}{5} - \frac{4 x^{\frac{3}{2}}}{3} - \frac{x^{2}}{2} + 5$ , $[0, 5]$
41900	Find the Absolute Max and Min over the Interval	f(x)=x^3-3x+2	$f (x) = x^{3} - 3 x + 2$
41901	Find the Absolute Max and Min over the Interval	f(x)=x^3-3/2x^2	$f (x) = x^{3} - \frac{3}{2} x^{2}$
41902	Find the Absolute Max and Min over the Interval	g(x)=1/12x^2-9 square root of x on 0 , 16	$g (x) = \frac{1}{12} x^{2} - 9 \sqrt{x}$ on $0$ , $16$
41903	Find the Absolute Max and Min over the Interval	g(x)=xe^(3x)	$g (x) = x e^{3 x}$
41904	Find the Absolute Max and Min over the Interval	B(x)=375x^2-3750x^3 , 0<=x<=0.10	$B (x) = 375 x^{2} - 3750 x^{3}$ , $0 \leq x \leq 0.1$