Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
50701	Find the Average Rate of Change	F(x)=5	$F (x) = 5$
50702	Find the Average Rate of Change	f(x)=6	$f (x) = 6$
50703	Find the Average Rate of Change	f(x)=-x^2+2x+2	$f (x) = - x^{2} + 2 x + 2$
50704	Find the Average Rate of Change	f(x)=2x^2+3	$f (x) = 2 x^{2} + 3$
50705	Find the Average Rate of Change	f(x)=3x^2+3 on [3,5]	$f (x) = 3 x^{2} + 3$ on $[3, 5]$
50706	Find the Average Rate of Change	y=5x	$y = 5 x$
50707	Find the Average Rate of Change	F(x)=8	$F (x) = 8$
50708	Find the Average Rate of Change	f(x)=1/x	$f (x) = \frac{1}{x}$
50709	Find the Average Rate of Change	2y-6x=0	$2 y - 6 x = 0$
50710	Find the Average Rate of Change	x+y=-5	$x + y = - 5$
50711	Find the Average Rate of Change	f(x)=x/(x+3) ; [-1,5]	$f (x) = \frac{x}{x + 3}$ ; $[- 1, 5]$
50712	Find the Average Rate of Change	f(x)=(2x-1)/(x+4) ; [-3,8]	$f (x) = \frac{2 x - 1}{x + 4}$ ; $[- 3, 8]$
50713	Find the Average Rate of Change	table[[x,-8.5],[-6.5,-2.5],[-1,y],[-92,-72],[-32,-17]]	$\begin{array}{c} x & - 8.5 \\ - 6.5 & - 2.5 \\ - 1 & y \\ - 92 & - 72 \\ - 32 & - 17 \end{array}$
50714	Find the Average Rate of Change	y = square root of 4x+1	$y = \sqrt{4 x + 1}$
50715	Find the Average Rate of Change	y-4x=-7	$y - 4 x = - 7$
50716	Find the Average Rate of Change	f(x)=-4x^2+3x	$f (x) = - 4 x^{2} + 3 x$
50717	Find the Average Rate of Change	f(x) = square root of x	$f (x) = \sqrt{x}$
50718	Find the Average Rate of Change	y=-4x+3/4	$y = - 4 x + \frac{3}{4}$
50719	Find the Average Rate of Change	f(x)=2x^2	$f (x) = 2 x^{2}$
50720	Find the Average Rate of Change	f(x)=3x^2	$f (x) = 3 x^{2}$
50721	Find the Average Rate of Change	y=4x	$y = 4 x$
50722	Find the Average Rate of Change	table[[x,y],[-8.5,-92],[-6.5,-72],[-2.5,-32]]	$\begin{array}{c} x & y \\ - 8.5 & - 92 \\ - 6.5 & - 72 \\ - 2.5 & - 32 \end{array}$
50723	Find the Average Rate of Change	f(x)=sin(x)	$f (x) = \sin (x)$
50724	Find the Average Rate of Change	y=-2/5x+12	$y = - \frac{2}{5} x + 12$
50725	Find the Average Rate of Change	h(x)=5-2x^2 on -2 , 4	$h (x) = 5 - 2 x^{2}$ on $- 2$ , $4$
50726	Find the Average Rate of Change	f(x)=1/4x^4-x^3 ; [-2,2]	$f (x) = \frac{1}{4} x^{4} - x^{3}$ ; $[- 2, 2]$
50727	Find the Average Rate of Change	x=2	$x = 2$
50728	Find the Average Rate of Change	y=-3/2x+1	$y = - \frac{3}{2} x + 1$
50729	Find the Average Rate of Change	f(x) = cube root of 4x-1 ; [0,7]	$f (x) = \sqrt[3]{4 x - 1}$ ; $[0, 7]$
50730	Find the Average Rate of Change	table[[x,f(x)],[3,3],[4,9],[5,27],[6,81]]	$\begin{array}{c} x & f (x) \\ 3 & 3 \\ 4 & 9 \\ 5 & 27 \\ 6 & 81 \end{array}$
50731	Find the Average Rate of Change	y=350(1+0.75)^t	$y = 350 {(1 + 0.75)}^{t}$
50732	Find the Average Rate of Change	g(x)=-x^2+24x-109 , si*8<=x<=14	$g (x) = - x^{2} + 24 x - 109$ , $s i \cdot 8 \leq x \leq 14$
50733	Find the Average Rate of Change	f(x)=x^2+4x+5 ; -1<=x<=2	$f (x) = x^{2} + 4 x + 5$ ; $- 1 \leq x \leq 2$
50734	Find the Average Rate of Change	y=x^2	$y = x^{2}$
50735	Find the Average Rate of Change	f(x)=(x^2)/(x+2) ; [-1,10]	$f (x) = \frac{x^{2}}{x + 2}$ ; $[- 1, 10]$
50736	Find the Average Rate of Change	y = square root of 3x+1	$y = \sqrt{3 x + 1}$
50737	Find the Average Rate of Change	A(r)=-2/3r-3	$A (r) = - \frac{2}{3} r - 3$
50738	Find the Average Rate of Change	f(x)=4x^2+3x	$f (x) = 4 x^{2} + 3 x$
50739	Find the Average Rate of Change	h(t)=sin(4t) , [0,pi/8]	$h (t) = \sin (4 t)$ , $[0, \frac{π}{8}]$
50740	Find the Average Rate of Change	table[[x,f(x)],[4,3],[5,6],[6,12],[7,24]]	$\begin{array}{c} x & f (x) \\ 4 & 3 \\ 5 & 6 \\ 6 & 12 \\ 7 & 24 \end{array}$
50741	Find the Average Rate of Change	y+14x=0	$y + 14 x = 0$
50742	Find the Average Rate of Change	f(x)=1/4x-5	$f (x) = \frac{1}{4} x - 5$
50743	Find the Average Rate of Change	f(x)=1/2x-2	$f (x) = \frac{1}{2} x - 2$
50744	Find the Average Rate of Change	f(x)=(Kx)/(A+x)	$f (x) = \frac{K x}{(A + x)}$
50745	Find the Average Rate of Change	f(x) = square root of x-4	$f (x) = \sqrt{x - 4}$
50746	Find the Average Rate of Change	f(x)=-3x^3-x^2+3x	$f (x) = - 3 x^{3} - x^{2} + 3 x$
50747	Find the Average Rate of Change	h(x)=5-2x^2 on [-2,4]	$h (x) = 5 - 2 x^{2}$ on $[- 2, 4]$
50748	Find the Average Rate of Change	R(theta) = square root of 5theta+1	$R (θ) = \sqrt{5 θ + 1}$
50749	Find the Average Rate of Change	y+2/3x=1	$y + \frac{2}{3} x = 1$
50750	Find the Average Rate of Change	Given the function h(x)=x^2+x-3 , determine the average rate of change of the function over the interval -4<=x<=1	Given the function $h (x) = x^{2} + x - 3$ , determine the average rate of change of the function over the interval $- 4 \leq x \leq 1$
50751	Find the Average Rate of Change	g(x)=-1/3x-2	$g (x) = - \frac{1}{3} x - 2$
50752	Find the Average Rate of Change	Given the function h(x)=x^2-7x+6 , determine the average rate of change of the function over the interval 3<=x<=7	Given the function $h (x) = x^{2} - 7 x + 6$ , determine the average rate of change of the function over the interval $3 \leq x \leq 7$
50753	Find the Average Rate of Change	x=3	$x = 3$
50754	Find the Average Rate of Change	h(t)=sin(5t) , [0,pi/10]	$h (t) = \sin (5 t)$ , $[0, \frac{π}{10}]$
50755	Find the Average Rate of Change	f(x)=3e^(x-1)+3	$f (x) = 3 e^{x - 1} + 3$
50756	Find the Average Rate of Change	A(r)=-2/3r-2	$A (r) = - \frac{2}{3} r - 2$
50757	Find the Average Rate of Change	f(x)=x^3+5x^2-2 ; [-9,-5]	$f (x) = x^{3} + 5 x^{2} - 2$ ; $[- 9, - 5]$
50758	Find the Average Rate of Change	Given the function g(x)=-x^2+4x+9 , determine the average rate of change of the function over the interval -2<=x<=4	Given the function $g (x) = - x^{2} + 4 x + 9$ , determine the average rate of change of the function over the interval $- 2 \leq x \leq 4$
50759	Find the Average Rate of Change	f(x) = square root of 2x	$f (x) = \sqrt{2 x}$
50760	Find the Average Rate of Change	(0,1) , (2,16)	$(0, 1)$ , $(2, 16)$
50761	Find the Average Rate of Change	f(x)=2^x	$f (x) = 2^{x}$
50762	Find the Average Rate of Change	f(x)=3-2x^2+x	$f (x) = 3 - 2 x^{2} + x$
50763	Find the Average Rate of Change	table[[x,y],[2,1],[5,0.4],[8,0.25]]	$\begin{array}{c} x & y \\ 2 & 1 \\ 5 & 0.4 \\ 8 & 0.25 \end{array}$
50764	Find the Average Rate of Change	f(x)=cos(x)	$f (x) = \cos (x)$
50765	Find the Average Rate of Change	(f(4)-f(0))/(4-0)	$\frac{f (4) - f (0)}{4 - 0}$
50766	Find the Average Rate of Change	f(x)=-6/(x^2)	$f (x) = - \frac{6}{x^{2}}$
50767	Find the Average Rate of Change	Given the function f(x)=-x^2-6x+17 , determine the average rate of change of the function over the interval -5<=x<=1	Given the function $f (x) = - x^{2} - 6 x + 17$ , determine the average rate of change of the function over the interval $- 5 \leq x \leq 1$
50768	Find the Average Rate of Change	table[[x,f(x)],[1,12],[2,21],[3,30],[4,39],[5,48]]	$\begin{array}{c} x & f (x) \\ 1 & 12 \\ 2 & 21 \\ 3 & 30 \\ 4 & 39 \\ 5 & 48 \end{array}$
50769	Find the Average Rate of Change	f(x) = square root of x , [0,16]	$f (x) = \sqrt{x}$ , $[0, 16]$
50770	Find the Average Rate of Change	y=2/3x+5	$y = \frac{2}{3} x + 5$
50771	Find the Average Rate of Change	table[[x,f(x)],[4,2],[5,4],[6,8],[7,16],[8,32],[9,64]]	$\begin{array}{c} x & f (x) \\ 4 & 2 \\ 5 & 4 \\ 6 & 8 \\ 7 & 16 \\ 8 & 32 \\ 9 & 64 \end{array}$
50772	Find the Average Rate of Change	table[[x,f(x)],[2,3],[3,6],[4,12],[5,24],[6,48],[7,96]]	$\begin{array}{c} x & f (x) \\ 2 & 3 \\ 3 & 6 \\ 4 & 12 \\ 5 & 24 \\ 6 & 48 \\ 7 & 96 \end{array}$
50773	Find the Average Rate of Change	f(x)=x^(3/2)	$f (x) = x^{\frac{3}{2}}$
50774	Find the Average Rate of Change	f(x)=(2x^2-5)/(x+1) ; [-8,-4]	$f (x) = \frac{2 x^{2} - 5}{x + 1}$ ; $[- 8, - 4]$
50775	Find the Average Rate of Change	f(x)=3^x+25	$f (x) = 3^{x} + 25$
50776	Find the Average Rate of Change	f(x)=tan(2x)	$f (x) = \tan (2 x)$
50777	Find the Average Rate of Change	(-3,3.6) , (5,2)	$(- 3, 3.6)$ , $(5, 2)$
50778	Find the Average Rate of Change	f(x)=-1/2x^2+3x+1 ; [8,14]	$f (x) = - \frac{1}{2} x^{2} + 3 x + 1$ ; $[8, 14]$
50779	Find the Average Rate of Change	f(x)=x^2-2x+8	$f (x) = x^{2} - 2 x + 8$
50780	Find the Average Rate of Change	g(x)=-x^2+24x-109 , si*8<=x<=14 ?	$g (x) = - x^{2} + 24 x - 109$ , $s i \cdot 8 \leq x \leq 14$ ?
50781	Find the Average Rate of Change	p(t)=82(1.11)^t	$p (t) = 82 {(1.11)}^{t}$
50782	Find the Average Rate of Change	A(x)=P(0.82)^x	$A (x) = P {(0.82)}^{x}$
50783	Find the Average Rate of Change	y=x-5	$y = x - 5$
50784	Find the Average Rate of Change	f(x)=x^2-10x+5 ; interval -4 , 4	$f (x) = x^{2} - 10 x + 5$ ; interval $- 4$ , $4$
50785	Find the Average Rate of Change	a(x)=p(0.77)^x	$a (x) = p {(0.77)}^{x}$
50786	Find the Average Rate of Change	f(x)=2x^2+x+5	$f (x) = 2 x^{2} + x + 5$
50787	Find the Average Rate of Change	f(x)=-2/(x^2)	$f (x) = - \frac{2}{x^{2}}$
50788	Find the Average Rate of Change	f(x)=3^x	$f (x) = 3^{x}$
50789	Find the Average Rate of Change	R(theta) = square root of 4theta+1	$R (θ) = \sqrt{4 θ + 1}$
50790	Find the Average Rate of Change	y=2(3^x)	$y = 2 (3^{x})$
50791	Find the Average Rate of Change	y=350(1+0.75)^5	$y = 350 {(1 + 0.75)}^{5}$
50792	Find the Average Rate of Change	f(x)=x-2 square root of x , [1,9]	$f (x) = x - 2 \sqrt{x}$ , $[1, 9]$
50793	Find the Average Rate of Change	y=1/2x+3	$y = \frac{1}{2} x + 3$
50794	Find the Average Rate of Change	f(x)=2x^2+4x-6 ; interval -3 , 3	$f (x) = 2 x^{2} + 4 x - 6$ ; interval $- 3$ , $3$
50795	Find the Average Rate of Change	f(x) = square root of 3x+1	$f (x) = \sqrt{3 x + 1}$
50796	Find the Average Rate of Change	y=x-2	$y = x - 2$
50797	Find the Average Rate of Change	f(x)=tan(3x)	$f (x) = \tan (3 x)$
50798	Find the Average Rate of Change	f(x)=1/x ; [9,10]	$f (x) = \frac{1}{x}$ ; $[9, 10]$
50799	Find the Average Rate of Change	f(x)=x^3-2x^2+x+1	$f (x) = x^{3} - 2 x^{2} + x + 1$
50800	Find the Average Rate of Change	g(t)=2cos(t)^2 ; [0,pi/6]	$g (t) = 2 \cos^{2} (t)$ ; $[0, \frac{π}{6}]$