Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
50901	Find the Average Rate of Change	f(x)=(4)^(x-1)+2	$f (x) = {(4)}^{x - 1} + 2$
50902	Find the Average Rate of Change	table[[x,Y],[2,7],[3,10],[4,13],[7,22]]	$\begin{array}{c} x & Y \\ 2 & 7 \\ 3 & 10 \\ 4 & 13 \\ 7 & 22 \end{array}$
50903	Find the Average Rate of Change	f(x)=1/( square root of x) , [1,9]	$f (x) = \frac{1}{\sqrt{x}}$ , $[1, 9]$
50904	Find the Average Rate of Change	30(1.25)^x	$30 {(1.25)}^{x}$
50905	Find the Average Rate of Change	y=4(2^x)	$y = 4 (2^{x})$
50906	Find the Average Rate of Change	(6,-8) and (6,8)	$(6, - 8)$ and $(6, 8)$
50907	Find the Average Rate of Change	y=0.5079t^2-8.168t+95.08	$y = 0.5079 t^{2} - 8.168 t + 95.08$
50908	Find the Average Rate of Change	y=10(1+0.4)^t	$y = 10 {(1 + 0.4)}^{t}$
50909	Find the Average Rate of Change	f(x)=x^2 on 2 , 5	$f (x) = x^{2}$ on $2$ , $5$
50910	Find the Average Rate of Change	f(x)=x^3+3 on 2 , 3	$f (x) = x^{3} + 3$ on $2$ , $3$
50911	Find the Average Rate of Change	f(x)=x^4-6x^2+4x , [-5,-3]	$f (x) = x^{4} - 6 x^{2} + 4 x$ , $[- 5, - 3]$
50912	Find the Average Rate of Change	f(x)=tan(x)	$f (x) = \tan (x)$
50913	Find the Average Rate of Change	f(x)=1/x ; [8,9]	$f (x) = \frac{1}{x}$ ; $[8, 9]$
50914	Find the Average Rate of Change	1/8x^3-x^2	$\frac{1}{8} x^{3} - x^{2}$
50915	Find the Average Rate of Change	f(x)=x^4+3x^3-5x^2+2x-2	$f (x) = x^{4} + 3 x^{3} - 5 x^{2} + 2 x - 2$
50916	Find the Average Rate of Change	table[[x,y],[5,2],[10,1],[15,2/3]]	$\begin{array}{c} x & y \\ 5 & 2 \\ 10 & 1 \\ 15 & \frac{2}{3} \end{array}$
50917	Find the Average Rate of Change	table[[x,y],[0,-1],[1,-2],[2,-5],[3,-10],[4,-17],[5,-26],[6,-37]]	$\begin{array}{c} x & y \\ 0 & - 1 \\ 1 & - 2 \\ 2 & - 5 \\ 3 & - 10 \\ 4 & - 17 \\ 5 & - 26 \\ 6 & - 37 \end{array}$
50918	Find the Average Rate of Change	f(x)=e^(x-3)+2	$f (x) = e^{x - 3} + 2$
50919	Find the Average Rate of Change	q(x)=x^3 on -4 , 2	$q (x) = x^{3}$ on $- 4$ , $2$
50920	Find the Average Rate of Change	h(x)=-2x^2-3x-1[1,5]	$h (x) = - 2 x^{2} - 3 x - 1 [1, 5]$
50921	Find the Average Rate of Change	x^2+10	$x^{2} + 10$
50922	Find the Average Rate of Change	f(x)=4x^2+x+3 ; interval -2 , 2	$f (x) = 4 x^{2} + x + 3$ ; interval $- 2$ , $2$
50923	Find the Average Rate of Change	table[[x,y],[0,1],[1,2],[2,4],[3,8],[4,16],[5,32],[6,64]]	$\begin{array}{c} x & y \\ 0 & 1 \\ 1 & 2 \\ 2 & 4 \\ 3 & 8 \\ 4 & 16 \\ 5 & 32 \\ 6 & 64 \end{array}$
50924	Find the Average Rate of Change	A=1200(0.85)^6	$A = 1200 {(0.85)}^{6}$
50925	Find the Average Rate of Change	f(x)=x^2+x-1	$f (x) = x^{2} + x - 1$
50926	Find the Average Rate of Change	q(x)=x^3 on [-4,2]	$q (x) = x^{3}$ on $[- 4, 2]$
50927	Find the Average Rate of Change	(f(x)-f(1))/(x-1)	$\frac{f (x) - f (1)}{x - 1}$
50928	Find the Average Rate of Change	f(x)=3x^2+2x+1 for 2<=x<=4	$f (x) = 3 x^{2} + 2 x + 1$ for $2 \leq x \leq 4$
50929	Find the Average Rate of Change	f(x)=120x-0.2x^2	$f (x) = 120 x - 0.2 x^{2}$
50930	Find the Average Rate of Change	f(x)=x^3-3x^2+2x	$f (x) = x^{3} - 3 x^{2} + 2 x$
50931	Find the Average Rate of Change	f(x)=(3/2)*3^x	$f (x) = (\frac{3}{2}) \cdot 3^{x}$
50932	Find the Average Rate of Change	f(x)=2x+1 , [0,4]	$f (x) = 2 x + 1$ , $[0, 4]$
50933	Find the Average Rate of Change	f(x)=x^2+x	$f (x) = x^{2} + x$
50934	Find the Average Rate of Change	R(theta) = square root of 4theta+1 ;, [0,2]	$R (θ) = \sqrt{4 θ + 1}$ ;, $[0, 2]$
50935	Find the Average Rate of Change	y=2xe^(3x)	$y = 2 x e^{3 x}$
50936	Find the Average Rate of Change	y=5+x	$y = 5 + x$
50937	Find the Average Rate of Change	A(t)=0.2t+73	$A (t) = 0.2 t + 73$
50938	Find the Average Rate of Change	f(x)=-x^4+4x^3-2x^2+x+1	$f (x) = - x^{4} + 4 x^{3} - 2 x^{2} + x + 1$
50939	Find the Average Rate of Change	(4pi)/3	$\frac{4 π}{3}$
50940	Find the Average Rate of Change	f(x)=cot(x) , [(3pi)/4,(5pi)/4]	$f (x) = \cot (x)$ , $[\frac{3 π}{4}, \frac{5 π}{4}]$
50941	Find the Average Rate of Change	y=f(x)	$y = f (x)$
50942	Find the Average Rate of Change	f(x)=x^3-6x^2-x	$f (x) = x^{3} - 6 x^{2} - x$
50943	Find the Average Rate of Change	g(x)=-3x^3-4x ; [2,6]	$g (x) = - 3 x^{3} - 4 x$ ; $[2, 6]$
50944	Find the Average Rate of Change	A(t)=0.5t+78	$A (t) = 0.5 t + 78$
50945	Find the Average Rate of Change	f(x)=(2)^(x+2)+1	$f (x) = {(2)}^{x + 2} + 1$
50946	Find the Average Rate of Change	f(x)=1/(x+1)	$f (x) = \frac{1}{x + 1}$
50947	Find the Average Rate of Change	y=0.8^(x+2)-4	$y = {0.8}^{(x + 2)} - 4$
50948	Find the Average Rate of Change	f(x)=1/( square root of x) , [4,9]	$f (x) = \frac{1}{\sqrt{x}}$ , $[4, 9]$
50949	Find the Average Rate of Change	x^3-2x^2+x+1	$x^{3} - 2 x^{2} + x + 1$
50950	Find the Average Rate of Change	R(x)=64x-0.020x^2 , 0<=x<=3200	$R (x) = 64 x - 0.02 x^{2}$ , $0 \leq x \leq 3200$
50951	Find the Average Rate of Change	f(x)=1/8x^3-x^2	$f (x) = \frac{1}{8} x^{3} - x^{2}$
50952	Find the Average Rate of Change	f(x)=2x-2x^2 on 0 , 1	$f (x) = 2 x - 2 x^{2}$ on $0$ , $1$
50953	Find the Average Rate of Change	table[[x,Y],[1,3],[2,9],[3,27],[4,81]]	$\begin{array}{c} x & Y \\ 1 & 3 \\ 2 & 9 \\ 3 & 27 \\ 4 & 81 \end{array}$
50954	Find the Average Rate of Change	f(x)=2^x+49	$f (x) = 2^{x} + 49$
50955	Find the Average Rate of Change	D(t)=64-16t^2	$D (t) = 64 - 16 t^{2}$
50956	Find the Average Rate of Change	C(x)=760+33x-0.065x^2	$C (x) = 760 + 33 x - 0.065 x^{2}$
50957	Find the Average Rate of Change	y=1/2x+3/2	$y = \frac{1}{2} x + \frac{3}{2}$
50958	Find the Average Rate of Change	-3	$- 3$
50959	Find the Average Rate of Change	P(t)=(600t)/(2t^2+9)	$P (t) = \frac{600 t}{2 t^{2} + 9}$
50960	Find the Average Rate of Change	f(x)=4e^(2x)-1	$f (x) = 4 e^{2 x} - 1$
50961	Find the Average Rate of Change	y=x^2+2	$y = x^{2} + 2$
50962	Find the Average Rate of Change	table[[x,4^(-x)],[-1,4],[0,a],[2,b],[4,c]]	$\begin{array}{c} x & 4^{- x} \\ - 1 & 4 \\ 0 & a \\ 2 & b \\ 4 & c \end{array}$
50963	Find the Average Rate of Change	f(x)=4/x	$f (x) = \frac{4}{x}$
50964	Find the Average Rate of Change	c(x)=0.2x^3+4x+4000	$c (x) = 0.2 x^{3} + 4 x + 4000$
50965	Find the Average Rate of Change	f(x)=4x^2-100 over the interval [-1,2]	$f (x) = 4 x^{2} - 100$ over the interval $[- 1, 2]$
50966	Find the Average Rate of Change	h(t)=cot(t)	$h (t) = \cot (t)$
50967	Find the Average Rate of Change	R(v)=6400/v	$R (v) = \frac{6400}{v}$
50968	Find the Average Rate of Change	sin(x/2)	$\sin (\frac{x}{2})$
50969	Find the Average Rate of Change	f(x)=(x-3)^2 , [2,5]	$f (x) = {(x - 3)}^{2}$ , $[2, 5]$
50970	Find the Average Rate of Change	y=4x^2	$y = 4 x^{2}$
50971	Find the Average Rate of Change	f(x)=x-2 square root of x , [1,9]	$f (x) = x - 2 \sqrt{x}$ , $[1, 9]$
50972	Find the Average Rate of Change	y = square root of x^3+3 at (1,2)	$y = \sqrt{x^{3} + 3}$ at $(1, 2)$
50973	Find the Average Rate of Change	R(v)=6800/v	$R (v) = \frac{6800}{v}$
50974	Find the Average Rate of Change	f(x)=x^3+x^2-8x-7	$f (x) = x^{3} + x^{2} - 8 x - 7$
50975	Find the Average Rate of Change	table[[x,0],[1,2],[3,4],[f(x),27],[9,3],[1,1/3]]	$\begin{array}{c} x & 0 \\ 1 & 2 \\ 3 & 4 \\ f (x) & 27 \\ 9 & 3 \\ 1 & \frac{1}{3} \end{array}$
50976	Find the Average Rate of Change	-(x^2)/4+7	$- \frac{x^{2}}{4} + 7$
50977	Find the Average Rate of Change	f(x)=e^(x/2) ; [0,14]	$f (x) = e^{\frac{x}{2}}$ ; $[0, 14]$
50978	Find the Average Rate of Change	(7pi)/6	$\frac{7 π}{6}$
50979	Find the Average Rate of Change	tan(x)	$\tan (x)$
50980	Find the Average Rate of Change	y=0.03x^2+11x+1	$y = 0.03 x^{2} + 11 x + 1$
50981	Find the Average Rate of Change	q(x)=x^3 on -1 , 3	$q (x) = x^{3}$ on $- 1$ , $3$
50982	Find the Average Rate of Change	y=x^2+2x	$y = x^{2} + 2 x$
50983	Find the Average Rate of Change	p(t)=(600t)/(2t^2+25)	$p (t) = \frac{600 t}{2 t^{2} + 25}$
50984	Find the Average Rate of Change	y=-5x-x^2	$y = - 5 x - x^{2}$
50985	Find the Average Rate of Change	f(x)=2^x , [3,5]	$f (x) = 2^{x}$ , $[3, 5]$
50986	Find the Average Rate of Change	f(x)=e^x on 0 , 2	$f (x) = e^{x}$ on $0$ , $2$
50987	Find the Average Rate of Change	table[[1,3],[6,11],[15,10],[24,45],[80,108]]	$\begin{array}{c} 1 & 3 \\ 6 & 11 \\ 15 & 10 \\ 24 & 45 \\ 80 & 108 \end{array}$
50988	Find the Average Rate of Change	f(x)=-2x^2+8x+7 ; interval -4 , 4	$f (x) = - 2 x^{2} + 8 x + 7$ ; interval $- 4$ , $4$
50989	Find the Average Rate of Change	R(x)=45x^(9/10)	$R (x) = 45 x^{\frac{9}{10}}$
50990	Find the Average Rate of Change	r(x)=65x^(9/10)	$r (x) = 65 x^{\frac{9}{10}}$
50991	Find the Average Rate of Change	C(x)=100/(100-x)cent for 50<=x<100	$C (x) = \frac{100}{100 - x} cent$ for $50 \leq x < 100$
50992	Find the Average Rate of Change	(-2,3) and (4,-2)	$(- 2, 3)$ and $(4, - 2)$
50993	Find the Average Rate of Change	V(t)=(14-0.5t)^3	$V (t) = {(14 - 0.5 t)}^{3}$
50994	Find the Average Rate of Change	h(x)=7-2x	$h (x) = 7 - 2 x$
50995	Find the Average Rate of Change	table[[x,y],[0,-3],[4,-2],[8,-1],[12,0],[16,1],[20,2]]	$\begin{array}{c} x & y \\ 0 & - 3 \\ 4 & - 2 \\ 8 & - 1 \\ 12 & 0 \\ 16 & 1 \\ 20 & 2 \end{array}$
50996	Find the Average Rate of Change	f(x) = square root of 3x-5 from x_1=2 to x_2=5	$f (x) = \sqrt{3 x - 5}$ from $x_{1} = 2$ to $x_{2} = 5$
50997	Find the Average Rate of Change	1/2x-3	$\frac{1}{2} x - 3$
50998	Find the Average Rate of Change	table[[x,y],[5,2],[10,1],[15,2/3],[20,1/2]]	$\begin{array}{c} x & y \\ 5 & 2 \\ 10 & 1 \\ 15 & \frac{2}{3} \\ 20 & \frac{1}{2} \end{array}$
50999	Find the Average Rate of Change	R(theta) = square root of 3theta+1 ; [5,8]	$R (θ) = \sqrt{3 θ + 1}$ ; $[5, 8]$
51000	Find the Average Rate of Change	f(x)=4(2)^x	$f (x) = 4 {(2)}^{x}$