Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
87001	Find the Absolute Max and Min over the Interval	f(x) = natural log of x-x , x>0	$f (x) = \ln (x) - x$ $f (x) = \ln (x) - x$ , $x > 0$ $x > 0$
87002	Find the Absolute Max and Min over the Interval	g(x) = square root of 4-x^2 , -2<=x<=1	$g (x) = \sqrt{4 - x^{2}}$ $g (x) = \sqrt{4 - x^{2}}$ , $- 2 \leq x \leq 1$ $- 2 \leq x \leq 1$
87003	Find the Absolute Max and Min over the Interval	g(x)=-x^2+24x-109 , si*8<=x<=14 ?	$g (x) = - x^{2} + 24 x - 109$ $g (x) = - x^{2} + 24 x - 109$ , $s i \cdot 8 \leq x \leq 14$ $s i \cdot 8 \leq x \leq 14$ ?
87004	Find the Absolute Max and Min over the Interval	g(x) = square root of 1-x^2 , 0<=x<=1	$g (x) = \sqrt{1 - x^{2}}$ $g (x) = \sqrt{1 - x^{2}}$ , $0 \leq x \leq 1$ $0 \leq x \leq 1$
87005	Find the Absolute Max and Min over the Interval	f(x) = square root of 4-x^2 , [-2,2]	$f (x) = \sqrt{4 - x^{2}}$ $f (x) = \sqrt{4 - x^{2}}$ , $[- 2, 2]$ $[- 2, 2]$
87006	Find the Absolute Max and Min over the Interval	h(x)=x^4+4x^3-9	$h (x) = x^{4} + 4 x^{3} - 9$ $h (x) = x^{4} + 4 x^{3} - 9$
87007	Find the Absolute Max and Min over the Interval	L(x)=e^x , given [4,6]	$L (x) = e^{x}$ $L (x) = e^{x}$ , given $[4, 6]$ $[4, 6]$
87008	Find the Absolute Max and Min over the Interval	f(x)=x^3	$f (x) = x^{3}$ $f (x) = x^{3}$
87009	Find the Absolute Max and Min over the Interval	x^3e^(-x)	$x^{3} e^{- x}$ $x^{3} e^{- x}$
87010	Find the Absolute Max and Min over the Interval	f(x)=1/2x^4-2/3x^3-2x^2+3 on -3 , 3	$f (x) = \frac{1}{2} x^{4} - \frac{2}{3} x^{3} - 2 x^{2} + 3$ $f (x) = \frac{1}{2} x^{4} - \frac{2}{3} x^{3} - 2 x^{2} + 3$ on $- 3$ $- 3$ , $3$ $3$
87011	Find the Absolute Max and Min over the Interval	y=(0.3)^x , [-2,2]	$y = {(0.3)}^{x}$ $y = {(0.3)}^{x}$ , $[- 2, 2]$ $[- 2, 2]$
87012	Find the Absolute Max and Min over the Interval	f(x)=x/(x^2+9) , [-4,5]	$f (x) = \frac{x}{x^{2} + 9}$ $f (x) = \frac{x}{x^{2} + 9}$ , $[- 4, 5]$ $[- 4, 5]$
87013	Find the Absolute Max and Min over the Interval	h(x) = cube root of x , -1<=x<=8	$h (x) = \sqrt[3]{x}$ $h (x) = \sqrt[3]{x}$ , $- 1 \leq x \leq 8$ $- 1 \leq x \leq 8$
87014	Find the Absolute Max and Min over the Interval	f(x) = square root of x+2	$f (x) = \sqrt{x + 2}$ $f (x) = \sqrt{x + 2}$
87015	Find the Absolute Max and Min over the Interval	f(x)=x+4/x	$f (x) = x + \frac{4}{x}$ $f (x) = x + \frac{4}{x}$
87016	Find the Absolute Max and Min over the Interval	f(x)=- square root of x+2 ; 0<=x<=5	$f (x) = - \sqrt{x + 2}$ $f (x) = - \sqrt{x + 2}$ ; $0 \leq x \leq 5$ $0 \leq x \leq 5$
87017	Find the Absolute Max and Min over the Interval	g(x)=- square root of 4-x^2 , -2<=x<=1	$g (x) = - \sqrt{4 - x^{2}}$ $g (x) = - \sqrt{4 - x^{2}}$ , $- 2 \leq x \leq 1$ $- 2 \leq x \leq 1$
87018	Find the Absolute Max and Min over the Interval	f(x)=x^3-3x^2	$f (x) = x^{3} - 3 x^{2}$ $f (x) = x^{3} - 3 x^{2}$
87019	Find the Absolute Max and Min over the Interval	f(x)=x/(x^2+25) on -7 , 7	$f (x) = \frac{x}{x^{2} + 25}$ $f (x) = \frac{x}{x^{2} + 25}$ on $- 7$ $- 7$ , $7$ $7$
87020	Find the Absolute Max and Min over the Interval	f(x) = square root of x-1+4 ; 1<=x<=2	$f (x) = \sqrt{x - 1} + 4$ $f (x) = \sqrt{x - 1} + 4$ ; $1 \leq x \leq 2$ $1 \leq x \leq 2$
87021	Find the Absolute Max and Min over the Interval	g(x)=5x^3e^(-x) , -1<=x<=4	$g (x) = 5 x^{3} e^{- x}$ $g (x) = 5 x^{3} e^{- x}$ , $- 1 \leq x \leq 4$ $- 1 \leq x \leq 4$
87022	Find the Absolute Max and Min over the Interval	f(x)=x^3-3x	$f (x) = x^{3} - 3 x$ $f (x) = x^{3} - 3 x$
87023	Find the Absolute Max and Min over the Interval	g(x)=1/20x^2-25 square root of x on 0 , 36	$g (x) = \frac{1}{20} x^{2} - 25 \sqrt{x}$ $g (x) = \frac{1}{20} x^{2} - 25 \sqrt{x}$ on $0$ $0$ , $36$ $36$
87024	Find the Absolute Max and Min over the Interval	g(x)=4x^3e^(-x) , -1<=x<=6	$g (x) = 4 x^{3} e^{- x}$ $g (x) = 4 x^{3} e^{- x}$ , $- 1 \leq x \leq 6$ $- 1 \leq x \leq 6$
87025	Find the Absolute Max and Min over the Interval	f(x)=\|x\|+2\|1-x\| , [-2,2]	$f (x) = \| x \| + 2 \| 1 - x \|$ $f (x) = \| x \| + 2 \| 1 - x \|$ , $[- 2, 2]$ $[- 2, 2]$
87026	Find the Absolute Max and Min over the Interval	f(x)=x/(x^2+1)	$f (x) = \frac{x}{x^{2} + 1}$ $f (x) = \frac{x}{x^{2} + 1}$
87027	Find the Absolute Max and Min over the Interval	f(x)=3/4x+2 , [0,4]	$f (x) = \frac{3}{4} x + 2$ $f (x) = \frac{3}{4} x + 2$ , $[0, 4]$ $[0, 4]$
87028	Find the Absolute Max and Min over the Interval	f(x)=1/2x^4-2/3x^3-2x^2+3 on -4 , 3	$f (x) = \frac{1}{2} x^{4} - \frac{2}{3} x^{3} - 2 x^{2} + 3$ $f (x) = \frac{1}{2} x^{4} - \frac{2}{3} x^{3} - 2 x^{2} + 3$ on $- 4$ $- 4$ , $3$ $3$
87029	Find the Absolute Max and Min over the Interval	f(x) = cube root of x+4 ; [-4,4]	$f (x) = \sqrt[3]{x + 4}$ $f (x) = \sqrt[3]{x + 4}$ ; $[- 4, 4]$ $[- 4, 4]$
87030	Find the Absolute Max and Min over the Interval	f(x)=x^2+240/x ; (0,infinity)	$f (x) = x^{2} + \frac{240}{x}$ $f (x) = x^{2} + \frac{240}{x}$ ; $(0, \infty)$ $(0, \infty)$
87031	Find the Absolute Max and Min over the Interval	f(x)=e^x ; [-3,5]	$f (x) = e^{x}$ $f (x) = e^{x}$ ; $[- 3, 5]$ $[- 3, 5]$
87032	Find the Absolute Max and Min over the Interval	h(x)=x^3e^x	$h (x) = x^{3} e^{x}$ $h (x) = x^{3} e^{x}$
87033	Find the Absolute Max and Min over the Interval	f(x)=-x^3+6x^2-10x+4	$f (x) = - x^{3} + 6 x^{2} - 10 x + 4$ $f (x) = - x^{3} + 6 x^{2} - 10 x + 4$
87034	Find the Absolute Max and Min over the Interval	f(x)=5- square root of x ; 1<=x<=4	$f (x) = 5 - \sqrt{x}$ $f (x) = 5 - \sqrt{x}$ ; $1 \leq x \leq 4$ $1 \leq x \leq 4$
87035	Find the Absolute Max and Min over the Interval	f(x) = square root of 4-x^2	$f (x) = \sqrt{4 - x^{2}}$ $f (x) = \sqrt{4 - x^{2}}$
87036	Find the Absolute Max and Min over the Interval	f(x)=x^4+8x^3+18x^2+4 , [-4,1]	$f (x) = x^{4} + 8 x^{3} + 18 x^{2} + 4$ $f (x) = x^{4} + 8 x^{3} + 18 x^{2} + 4$ , $[- 4, 1]$ $[- 4, 1]$
87037	Find the Absolute Max and Min over the Interval	f(x)=2 square root of x+1 ; 1<=x<=4	$f (x) = 2 \sqrt{x} + 1$ $f (x) = 2 \sqrt{x} + 1$ ; $1 \leq x \leq 4$ $1 \leq x \leq 4$
87038	Find the Absolute Max and Min over the Interval	g(x)=- square root of 1-x^2 , 0<=x<=1	$g (x) = - \sqrt{1 - x^{2}}$ $g (x) = - \sqrt{1 - x^{2}}$ , $0 \leq x \leq 1$ $0 \leq x \leq 1$
87039	Find the Absolute Max and Min over the Interval	y=sin(x)cos(x) , 0<=x<=pi	$y = \sin (x) \cos (x)$ $y = \sin (x) \cos (x)$ , $0 \leq x \leq π$ $0 \leq x \leq π$
87040	Find the Absolute Max and Min over the Interval	f(x)=x^3-3x^2+12 , (-2,4)	$f (x) = x^{3} - 3 x^{2} + 12$ $f (x) = x^{3} - 3 x^{2} + 12$ , $(- 2, 4)$ $(- 2, 4)$
87041	Find the Absolute Max and Min over the Interval	g(x) = square root of 1-x^2 , -1<=x<=0	$g (x) = \sqrt{1 - x^{2}}$ $g (x) = \sqrt{1 - x^{2}}$ , $- 1 \leq x \leq 0$ $- 1 \leq x \leq 0$
87042	Find the Absolute Max and Min over the Interval	f(x)=5sin(x)+5cos(x) , 0<=x<=2pi	$f (x) = 5 \sin (x) + 5 \cos (x)$ $f (x) = 5 \sin (x) + 5 \cos (x)$ , $0 \leq x \leq 2 π$ $0 \leq x \leq 2 π$
87043	Find the Absolute Max and Min over the Interval	f(x)=(x^3)/3-(3x^2)/2+3 , [1,4]	$f (x) = \frac{x^{3}}{3} - \frac{3 x^{2}}{2} + 3$ $f (x) = \frac{x^{3}}{3} - \frac{3 x^{2}}{2} + 3$ , $[1, 4]$ $[1, 4]$
87044	Find the Absolute Max and Min over the Interval	f(x)=(x^2)/((x-1)^2) on interval [-2,-1]	$f (x) = \frac{x^{2}}{{(x - 1)}^{2}}$ $f (x) = \frac{x^{2}}{{(x - 1)}^{2}}$ on interval $[- 2, - 1]$ $[- 2, - 1]$
87045	Find the Absolute Max and Min over the Interval	f(x)=3x^4+4x^3-12x^2+5	$f (x) = 3 x^{4} + 4 x^{3} - 12 x^{2} + 5$ $f (x) = 3 x^{4} + 4 x^{3} - 12 x^{2} + 5$
87046	Find the Absolute Max and Min over the Interval	f(x)=x^3-3x^2+1	$f (x) = x^{3} - 3 x^{2} + 1$ $f (x) = x^{3} - 3 x^{2} + 1$
87047	Find the Absolute Max and Min over the Interval	f(x)=x^4-8x^2+2 on interval -1 , 3	$f (x) = x^{4} - 8 x^{2} + 2$ $f (x) = x^{4} - 8 x^{2} + 2$ on interval $- 1$ $- 1$ , $3$ $3$
87048	Find the Absolute Max and Min over the Interval	f(x)=(x^2)/((x-1)^2)	$f (x) = \frac{x^{2}}{{(x - 1)}^{2}}$ $f (x) = \frac{x^{2}}{{(x - 1)}^{2}}$
87049	Find the Absolute Max and Min over the Interval	f(x)=x^3-3x+1	$f (x) = x^{3} - 3 x + 1$ $f (x) = x^{3} - 3 x + 1$
87050	Find the Absolute Max and Min over the Interval	f(x)=cos(x)-x , [pi/2,2pi]	$f (x) = \cos (x) - x$ $f (x) = \cos (x) - x$ , $[\frac{π}{2}, 2 π]$ $[\frac{π}{2}, 2 π]$
87051	Find the Absolute Max and Min over the Interval	h(x)=x^3e^(-x)	$h (x) = x^{3} e^{- x}$ $h (x) = x^{3} e^{- x}$
87052	Find the Absolute Max and Min over the Interval	xe^(-2x)	$x e^{- 2 x}$ $x e^{- 2 x}$
87053	Find the Absolute Max and Min over the Interval	f(x)=5cos(x)^2 on [0,pi]	$f (x) = 5 \cos^{2} (x)$ $f (x) = 5 \cos^{2} (x)$ on $[0, π]$ $[0, π]$
87054	Find the Absolute Max and Min over the Interval	f(x)=x^3-6x^2+7 ; -1<=x<=6	$f (x) = x^{3} - 6 x^{2} + 7$ $f (x) = x^{3} - 6 x^{2} + 7$ ; $- 1 \leq x \leq 6$ $- 1 \leq x \leq 6$
87055	Find the Absolute Max and Min over the Interval	y=x^2	$y = x^{2}$ $y = x^{2}$
87056	Find the Absolute Max and Min over the Interval	f(x)=x^3-12x	$f (x) = x^{3} - 12 x$ $f (x) = x^{3} - 12 x$
87057	Find the Absolute Max and Min over the Interval	f(x)=-3x^4-8x^3-6x^2+1	$f (x) = - 3 x^{4} - 8 x^{3} - 6 x^{2} + 1$ $f (x) = - 3 x^{4} - 8 x^{3} - 6 x^{2} + 1$
87058	Find the Absolute Max and Min over the Interval	f(x)=x^3-27x on -4 , 4	$f (x) = x^{3} - 27 x$ $f (x) = x^{3} - 27 x$ on $- 4$ $- 4$ , $4$ $4$
87059	Find the Absolute Max and Min over the Interval	f(x)=sin(x)+cos(x) , 0<=x<=2pi	$f (x) = \sin (x) + \cos (x)$ $f (x) = \sin (x) + \cos (x)$ , $0 \leq x \leq 2 π$ $0 \leq x \leq 2 π$
87060	Find the Absolute Max and Min over the Interval	f(x)=( natural log of x)/x	$f (x) = \frac{\ln (x)}{x}$ $f (x) = \frac{\ln (x)}{x}$
87061	Find the Absolute Max and Min over the Interval	x^4+4x^3-9	$x^{4} + 4 x^{3} - 9$ $x^{4} + 4 x^{3} - 9$
87062	Find the Absolute Max and Min over the Interval	f(x) = cube root of x-8-1 ; [0,7]	$f (x) = \sqrt[3]{x - 8} - 1$ $f (x) = \sqrt[3]{x - 8} - 1$ ; $[0, 7]$ $[0, 7]$
87063	Find the Absolute Max and Min over the Interval	f(x)=- square root of x+1+2 ; 3<=x<=10	$f (x) = - \sqrt{x + 1} + 2$ $f (x) = - \sqrt{x + 1} + 2$ ; $3 \leq x \leq 10$ $3 \leq x \leq 10$
87064	Find the Absolute Max and Min over the Interval	g(x)=(6x^2)/(x-2) , [-2,1]	$g (x) = \frac{6 x^{2}}{x - 2}$ $g (x) = \frac{6 x^{2}}{x - 2}$ , $[- 2, 1]$ $[- 2, 1]$
87065	Find the Absolute Max and Min over the Interval	g(x)=e^(-x^4) , -2<=x<=1	$g (x) = e^{- x^{4}}$ $g (x) = e^{- x^{4}}$ , $- 2 \leq x \leq 1$ $- 2 \leq x \leq 1$
87066	Find the Absolute Max and Min over the Interval	f(x)=x^3+x^2-5x+8 ; (0,infinity)	$f (x) = x^{3} + x^{2} - 5 x + 8$ $f (x) = x^{3} + x^{2} - 5 x + 8$ ; $(0, \infty)$ $(0, \infty)$
87067	Find the Absolute Max and Min over the Interval	(2x^(5/2))/5-(2x^(3/2))/3-6 , [0,4]	$\frac{2 x^{\frac{5}{2}}}{5} - \frac{2 x^{\frac{3}{2}}}{3} - 6$ $\frac{2 x^{\frac{5}{2}}}{5} - \frac{2 x^{\frac{3}{2}}}{3} - 6$ , $[0, 4]$ $[0, 4]$
87068	Find the Absolute Max and Min over the Interval	f(x)=1/x , x>=1	$f (x) = \frac{1}{x}$ $f (x) = \frac{1}{x}$ , $x \geq 1$ $x \geq 1$
87069	Find the Absolute Max and Min over the Interval	f(x)=x^2+320/x ; (0,infinity)	$f (x) = x^{2} + \frac{320}{x}$ $f (x) = x^{2} + \frac{320}{x}$ ; $(0, \infty)$ $(0, \infty)$
87070	Find the Absolute Max and Min over the Interval	f(x)=-2sin(x)^2 , [pi/4,2pi]	$f (x) = - 2 \sin^{2} (x)$ $f (x) = - 2 \sin^{2} (x)$ , $[\frac{π}{4}, 2 π]$ $[\frac{π}{4}, 2 π]$
87071	Find the Absolute Max and Min over the Interval	f(x)=(4x)/(x^2+1) on -4 , 0	$f (x) = \frac{4 x}{x^{2} + 1}$ $f (x) = \frac{4 x}{x^{2} + 1}$ on $- 4$ $- 4$ , $0$ $0$
87072	Find the Absolute Max and Min over the Interval	f(x)=3cos(x)^2 on [0,pi]	$f (x) = 3 \cos^{2} (x)$ $f (x) = 3 \cos^{2} (x)$ on $[0, π]$ $[0, π]$
87073	Find the Absolute Max and Min over the Interval	g(x)=- square root of 1-x^2 , -1<=x<=0	$g (x) = - \sqrt{1 - x^{2}}$ $g (x) = - \sqrt{1 - x^{2}}$ , $- 1 \leq x \leq 0$ $- 1 \leq x \leq 0$
87074	Find the Absolute Max and Min over the Interval	( natural log of x)/(x^2)	$\frac{\ln (x)}{x^{2}}$ $\frac{\ln (x)}{x^{2}}$
87075	Find the Absolute Max and Min over the Interval	f(x)=x/(x^2+9) on -7 , 7	$f (x) = \frac{x}{x^{2} + 9}$ $f (x) = \frac{x}{x^{2} + 9}$ on $- 7$ $- 7$ , $7$ $7$
87076	Find the Absolute Max and Min over the Interval	f(x)=x^4-2x^3+x+1 , [-1,3]	$f (x) = x^{4} - 2 x^{3} + x + 1$ $f (x) = x^{4} - 2 x^{3} + x + 1$ , $[- 1, 3]$ $[- 1, 3]$
87077	Find the Absolute Max and Min over the Interval	f(x)=9-x^2	$f (x) = 9 - x^{2}$ $f (x) = 9 - x^{2}$
87078	Find the Absolute Max and Min over the Interval	g(x)=(8x^2)/(x-2) , [-2,1]	$g (x) = \frac{8 x^{2}}{x - 2}$ $g (x) = \frac{8 x^{2}}{x - 2}$ , $[- 2, 1]$ $[- 2, 1]$
87079	Find the Absolute Max and Min over the Interval	f(x)=2sin(x)^2 , [pi/3,2pi]	$f (x) = 2 \sin^{2} (x)$ $f (x) = 2 \sin^{2} (x)$ , $[\frac{π}{3}, 2 π]$ $[\frac{π}{3}, 2 π]$
87080	Find the Absolute Max and Min over the Interval	(x^2-1)^3	${(x^{2} - 1)}^{3}$ ${(x^{2} - 1)}^{3}$
87081	Find the Absolute Max and Min over the Interval	f(x)=sin(x+pi/4) , 0<=x<=(7pi)/4	$f (x) = \sin (x + \frac{π}{4})$ $f (x) = \sin (x + \frac{π}{4})$ , $0 \leq x \leq \frac{7 π}{4}$ $0 \leq x \leq \frac{7 π}{4}$
87082	Find the Absolute Max and Min over the Interval	f(x)=x^3-3/2x^2 on -1 , 2	$f (x) = x^{3} - \frac{3}{2} x^{2}$ $f (x) = x^{3} - \frac{3}{2} x^{2}$ on $- 1$ $- 1$ , $2$ $2$
87083	Find the Absolute Max and Min over the Interval	x^4-2x^2	$x^{4} - 2 x^{2}$ $x^{4} - 2 x^{2}$
87084	Find the Absolute Max and Min over the Interval	g(x)=(x^2+4)/(4x)	$g (x) = \frac{x^{2} + 4}{4 x}$ $g (x) = \frac{x^{2} + 4}{4 x}$
87085	Find the Absolute Max and Min over the Interval	f(x)=x^4-4x^3	$f (x) = x^{4} - 4 x^{3}$ $f (x) = x^{4} - 4 x^{3}$
87086	Find the Absolute Max and Min over the Interval	f(x)=x^3-3x^2+1 , [-1/2,4]	$f (x) = x^{3} - 3 x^{2} + 1$ $f (x) = x^{3} - 3 x^{2} + 1$ , $[- \frac{1}{2}, 4]$ $[- \frac{1}{2}, 4]$
87087	Find the Absolute Max and Min over the Interval	x^3e^x	$x^{3} e^{x}$ $x^{3} e^{x}$
87088	Find the Absolute Max and Min over the Interval	g(x)=x^3e^(-x) , -1<=x<=4	$g (x) = x^{3} e^{- x}$ $g (x) = x^{3} e^{- x}$ , $- 1 \leq x \leq 4$ $- 1 \leq x \leq 4$
87089	Find the Absolute Max and Min over the Interval	f(x)=x^3-48x on -5 , 5	$f (x) = x^{3} - 48 x$ $f (x) = x^{3} - 48 x$ on $- 5$ $- 5$ , $5$ $5$
87090	Find the Absolute Max and Min over the Interval	3x^(2/3)-2x	$3 x^{\frac{2}{3}} - 2 x$ $3 x^{\frac{2}{3}} - 2 x$
87091	Find the Absolute Max and Min over the Interval	f(x)=(x^2-9)^2 on -3 , 3	$f (x) = {(x^{2} - 9)}^{2}$ $f (x) = {(x^{2} - 9)}^{2}$ on $- 3$ $- 3$ , $3$ $3$
87092	Find the Absolute Max and Min over the Interval	f(x)=- square root of x-3 ; 4<=x<=12	$f (x) = - \sqrt{x - 3}$ $f (x) = - \sqrt{x - 3}$ ; $4 \leq x \leq 12$ $4 \leq x \leq 12$
87093	Find the Absolute Max and Min over the Interval	h(x)=2 cube root of x , -8<=x<=1	$h (x) = 2 \sqrt[3]{x}$ $h (x) = 2 \sqrt[3]{x}$ , $- 8 \leq x \leq 1$ $- 8 \leq x \leq 1$
87094	Find the Absolute Max and Min over the Interval	f(x)=-x^2+10 on -3 , 4	$f (x) = - x^{2} + 10$ $f (x) = - x^{2} + 10$ on $- 3$ $- 3$ , $4$ $4$
87095	Find the Absolute Max and Min over the Interval	h(x) = cube root of x , -8<=x<=1	$h (x) = \sqrt[3]{x}$ $h (x) = \sqrt[3]{x}$ , $- 8 \leq x \leq 1$ $- 8 \leq x \leq 1$
87096	Find the Absolute Max and Min over the Interval	f(t)=4 square root of t-t , [0,16]	$f (t) = 4 \sqrt{t} - t$ $f (t) = 4 \sqrt{t} - t$ , $[0, 16]$ $[0, 16]$
87097	Find the Absolute Max and Min over the Interval	f(x)=x^4+4x^3+13 on -4 , 1	$f (x) = x^{4} + 4 x^{3} + 13$ $f (x) = x^{4} + 4 x^{3} + 13$ on $- 4$ $- 4$ , $1$ $1$
87098	Find the Absolute Max and Min over the Interval	p=1/12x^2-6x+108 , 0<=x<=36	$p = \frac{1}{12} x^{2} - 6 x + 108$ $p = \frac{1}{12} x^{2} - 6 x + 108$ , $0 \leq x \leq 36$ $0 \leq x \leq 36$
87099	Find the Absolute Max and Min over the Interval	y=3x^(2/3)-2x	$y = 3 x^{\frac{2}{3}} - 2 x$ $y = 3 x^{\frac{2}{3}} - 2 x$
87100	Find the Absolute Max and Min over the Interval	f(x)=(4x)/(x^2+1)	$f (x) = \frac{4 x}{x^{2} + 1}$ $f (x) = \frac{4 x}{x^{2} + 1}$