Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
50801	Find the Average Rate of Change	y=12(1.05)^t	$y = 12 {(1.05)}^{t}$
50802	Find the Average Rate of Change	f(x)=1/( square root of x)	$f (x) = \frac{1}{\sqrt{x}}$
50803	Find the Average Rate of Change	f(x)=(x-2)^2+3	$f (x) = {(x - 2)}^{2} + 3$
50804	Find the Average Rate of Change	g(x)=2x^3-1 on -3 , 3	$g (x) = 2 x^{3} - 1$ on $- 3$ , $3$
50805	Find the Average Rate of Change	table[[x,f(x)],[0,33],[18,18],[36,3],[54,-12],[72,-27]]	$\begin{array}{c} x & f (x) \\ 0 & 33 \\ 18 & 18 \\ 36 & 3 \\ 54 & - 12 \\ 72 & - 27 \end{array}$
50806	Find the Average Rate of Change	(f(11)-f(3))/(11-3)	$\frac{f (11) - f (3)}{11 - 3}$
50807	Find the Average Rate of Change	y=x	$y = x$
50808	Find the Average Rate of Change	y=x^2-5x-14	$y = x^{2} - 5 x - 14$
50809	Find the Average Rate of Change	5x+4	$5 x + 4$
50810	Find the Average Rate of Change	g(x) = square root of x+9-5 on -5<=x<=0	$g (x) = \sqrt{x + 9} - 5$ on $- 5 \leq x \leq 0$
50811	Find the Average Rate of Change	f(x)=x^2 on 1 , 5	$f (x) = x^{2}$ on $1$ , $5$
50812	Find the Average Rate of Change	f(x)=2(5/2)^(-x)	$f (x) = 2 {(\frac{5}{2})}^{- x}$
50813	Find the Average Rate of Change	f(x)=9-x^2 , [-3,3]	$f (x) = 9 - x^{2}$ , $[- 3, 3]$
50814	Find the Average Rate of Change	(f(2)-f(1))/(2-1)	$\frac{f (2) - f (1)}{2 - 1}$
50815	Find the Average Rate of Change	Given the function h(x)=-x^2+x+4 , determine the average rate of change of the function over the interval -1<=x<=5	Given the function $h (x) = - x^{2} + x + 4$ , determine the average rate of change of the function over the interval $- 1 \leq x \leq 5$
50816	Find the Average Rate of Change	(x_1,f(x_1)) and (x_2,f(x_2))	$(x_{1}, f (x_{1}))$ and $(x_{2}, f (x_{2}))$
50817	Find the Average Rate of Change	f(x) = natural log of 3x+2.5	$f (x) = \ln (3 x) + 2.5$
50818	Find the Average Rate of Change	y=x^2+1	$y = x^{2} + 1$
50819	Find the Average Rate of Change	table[[x,y],[-2,-2],[-1,2],[0,6],[1,10],[2,14]]	$\begin{array}{c} x & y \\ - 2 & - 2 \\ - 1 & 2 \\ 0 & 6 \\ 1 & 10 \\ 2 & 14 \end{array}$
50820	Find the Average Rate of Change	f(x)=3x^2-x^3 , (1,5)	$f (x) = 3 x^{2} - x^{3}$ , $(1, 5)$
50821	Find the Average Rate of Change	f(x) = square root of -7x+1	$f (x) = \sqrt{- 7 x + 1}$
50822	Find the Average Rate of Change	f(x)=17-x^2	$f (x) = 17 - x^{2}$
50823	Find the Average Rate of Change	Given the function g(x)=-x^2+x+5 , determine the average rate of change of the function over the interval -4<=x<=3	Given the function $g (x) = - x^{2} + x + 5$ , determine the average rate of change of the function over the interval $- 4 \leq x \leq 3$
50824	Find the Average Rate of Change	y=5^x	$y = 5^{x}$
50825	Find the Average Rate of Change	y=e^x	$y = e^{x}$
50826	Find the Average Rate of Change	f(x) = square root of x+3	$f (x) = \sqrt{x + 3}$
50827	Find the Average Rate of Change	2x^2+12x+16	$2 x^{2} + 12 x + 16$
50828	Find the Average Rate of Change	f(x)=3^x , [1,4]	$f (x) = 3^{x}$ , $[1, 4]$
50829	Find the Average Rate of Change	f(x)=sin(x) , [0,pi/6]	$f (x) = \sin (x)$ , $[0, \frac{π}{6}]$
50830	Find the Average Rate of Change	f(x)=x-2 square root of x	$f (x) = x - 2 \sqrt{x}$
50831	Find the Average Rate of Change	f(x)=- log of 4x+5	$f (x) = - \log (4 x) + 5$
50832	Find the Average Rate of Change	3x+9	$3 x + 9$
50833	Find the Average Rate of Change	h(x)=3-5x^2 on -2 , 4	$h (x) = 3 - 5 x^{2}$ on $- 2$ , $4$
50834	Find the Average Rate of Change	y=2^x	$y = 2^{x}$
50835	Find the Average Rate of Change	y=1200*(1+0.3)^t	$y = 1200 \cdot {(1 + 0.3)}^{t}$
50836	Find the Average Rate of Change	y=29/5x	$y = \frac{29}{5} x$
50837	Find the Average Rate of Change	f(x)=3/(x-2)	$f (x) = \frac{3}{x - 2}$
50838	Find the Average Rate of Change	f(x)=2x	$f (x) = 2 x$
50839	Find the Average Rate of Change	f(x) = square root of x , [0,25]	$f (x) = \sqrt{x}$ , $[0, 25]$
50840	Find the Average Rate of Change	table[[x,y],[-1,1/10],[0,1/2],[1,5/2],[2,25/2],[3,125/2]]	$\begin{array}{c} x & y \\ - 1 & \frac{1}{10} \\ 0 & \frac{1}{2} \\ 1 & \frac{5}{2} \\ 2 & \frac{25}{2} \\ 3 & \frac{125}{2} \end{array}$
50841	Find the Average Rate of Change	f(x)=x^2-4x-12 on 0 , 6	$f (x) = x^{2} - 4 x - 12$ on $0$ , $6$
50842	Find the Average Rate of Change	table[[x,0],[1,2],[3,y],[2,14],[98,686]]	$\begin{array}{c} x & 0 \\ 1 & 2 \\ 3 & y \\ 2 & 14 \\ 98 & 686 \end{array}$
50843	Find the Average Rate of Change	h(t)=-16t^2+128t , 0<=t<=8	$h (t) = - 16 t^{2} + 128 t$ , $0 \leq t \leq 8$
50844	Find the Average Rate of Change	C(t)=(0.2t)/(t^2+9)	$C (t) = \frac{0.2 t}{t^{2} + 9}$
50845	Find the Average Rate of Change	f(x)=3x^2+8x , [-1,5]	$f (x) = 3 x^{2} + 8 x$ , $[- 1, 5]$
50846	Find the Average Rate of Change	f(x)=e^(2x)-e^x+1	$f (x) = e^{2 x} - e^{x} + 1$
50847	Find the Average Rate of Change	g(x)=4 natural log of x-2	$g (x) = 4 \ln (x) - 2$
50848	Find the Average Rate of Change	f(x)=sin(x) , [0,pi/4]	$f (x) = \sin (x)$ , $[0, \frac{π}{4}]$
50849	Find the Average Rate of Change	(f(8)-f(0))/(8-0)	$\frac{f (8) - f (0)}{8 - 0}$
50850	Find the Average Rate of Change	f(x)=x^3+3 on [2,3]	$f (x) = x^{3} + 3$ on $[2, 3]$
50851	Find the Average Rate of Change	h(x)=x^3+2x^2-x-1	$h (x) = x^{3} + 2 x^{2} - x - 1$
50852	Find the Average Rate of Change	f(x)=4-x^2 , [-2,2]	$f (x) = 4 - x^{2}$ , $[- 2, 2]$
50853	Find the Average Rate of Change	Given the function g(x)=x^2+x-3 , determine the average rate of change of the function over the interval -3<=x<=6	Given the function $g (x) = x^{2} + x - 3$ , determine the average rate of change of the function over the interval $- 3 \leq x \leq 6$
50854	Find the Average Rate of Change	1/x	$\frac{1}{x}$
50855	Find the Average Rate of Change	V(t)=30(1.05)^t	$V (t) = 30 {(1.05)}^{t}$
50856	Find the Average Rate of Change	table[[x,f(X)],[4,4],[5,8],[6,16],[7,32],[8,64],[9,128]]	$\begin{array}{c} x & f (X) \\ 4 & 4 \\ 5 & 8 \\ 6 & 16 \\ 7 & 32 \\ 8 & 64 \\ 9 & 128 \end{array}$
50857	Find the Average Rate of Change	f(x)=x^2-2 ;, [-2,-1]	$f (x) = x^{2} - 2$ ;, $[- 2, - 1]$
50858	Find the Average Rate of Change	y=-x^2+4	$y = - x^{2} + 4$
50859	Find the Average Rate of Change	table[[x,3],[10,15],[30,y],[5,p],[1,0.5]]	$\begin{array}{c} x & 3 \\ 10 & 15 \\ 30 & y \\ 5 & p \\ 1 & 0.5 \end{array}$
50860	Find the Average Rate of Change	f(x)=10x^2+x	$f (x) = 10 x^{2} + x$
50861	Find the Average Rate of Change	f(x)=-4/5x+8	$f (x) = - \frac{4}{5} x + 8$
50862	Find the Average Rate of Change	g(x)=3x^3-1 on -3 , 3	$g (x) = 3 x^{3} - 1$ on $- 3$ , $3$
50863	Find the Average Rate of Change	f(x)=3x	$f (x) = 3 x$
50864	Find the Average Rate of Change	g(x)=x^4+2x^2-5 ; [-4,-2]	$g (x) = x^{4} + 2 x^{2} - 5$ ; $[- 4, - 2]$
50865	Find the Average Rate of Change	f(x)=x^2+x-12	$f (x) = x^{2} + x - 12$
50866	Find the Average Rate of Change	h(t)=-16t^2+64t , 0<=t<=4	$h (t) = - 16 t^{2} + 64 t$ , $0 \leq t \leq 4$
50867	Find the Average Rate of Change	f(x)=2(3)^x	$f (x) = 2 {(3)}^{x}$
50868	Find the Average Rate of Change	f(x) = square root of x+1 on 0 , 3	$f (x) = \sqrt{x + 1}$ on $0$ , $3$
50869	Find the Average Rate of Change	f(x)=-2x+5 , [-10,8]	$f (x) = - 2 x + 5$ , $[- 10, 8]$
50870	Find the Average Rate of Change	f(x)=-3x^2+x+1	$f (x) = - 3 x^{2} + x + 1$
50871	Find the Average Rate of Change	s(t)=4t^3+8t^2-5 , [-8,-2]	$s (t) = 4 t^{3} + 8 t^{2} - 5$ , $[- 8, - 2]$
50872	Find the Average Rate of Change	F(x)=x^2 , [0,2]	$F (x) = x^{2}$ , $[0, 2]$
50873	Find the Average Rate of Change	(f(7)-f(3))/4	$\frac{f (7) - f (3)}{4}$
50874	Find the Average Rate of Change	f(x)=x-2 square root of x on the interval [1,9]	$f (x) = x - 2 \sqrt{x}$ on the interval $[1, 9]$
50875	Find the Average Rate of Change	R(x)=56x-0.020x^2 , 0<=x<=2800	$R (x) = 56 x - 0.02 x^{2}$ , $0 \leq x \leq 2800$
50876	Find the Average Rate of Change	g(x)=3x^3-1 on [-3,3]	$g (x) = 3 x^{3} - 1$ on $[- 3, 3]$
50877	Find the Average Rate of Change	y=- square root of 2x+1	$y = - \sqrt{2 x + 1}$
50878	Find the Average Rate of Change	x^2	$x^{2}$
50879	Find the Average Rate of Change	a	$a$
50880	Find the Average Rate of Change	y+2/5x=4	$y + \frac{2}{5} x = 4$
50881	Find the Average Rate of Change	f(x)=2(x-2)^2+1	$f (x) = 2 {(x - 2)}^{2} + 1$
50882	Find the Average Rate of Change	2y=-3x	$2 y = - 3 x$
50883	Find the Average Rate of Change	x^2-1	$x^{2} - 1$
50884	Find the Average Rate of Change	y=x^3	$y = x^{3}$
50885	Find the Average Rate of Change	Y=3-4x	$Y = 3 - 4 x$
50886	Find the Average Rate of Change	y=3.75+1.5(x-1)	$y = 3.75 + 1.5 (x - 1)$
50887	Find the Average Rate of Change	y=- square root of x-4+5	$y = - \sqrt{x - 4} + 5$
50888	Find the Average Rate of Change	p(t)=((t^2-4)(t+1))/(t^2+3) on -3 , 1	$p (t) = \frac{(t^{2} - 4) (t + 1)}{t^{2} + 3}$ on $- 3$ , $1$
50889	Find the Average Rate of Change	f(x)=9-x^2	$f (x) = 9 - x^{2}$
50890	Find the Average Rate of Change	f(x) = square root of 2x , [2,8]	$f (x) = \sqrt{2 x}$ , $[2, 8]$
50891	Find the Average Rate of Change	f(x)=e^(x-1)-3	$f (x) = e^{x - 1} - 3$
50892	Find the Average Rate of Change	cos(x/2)	$\cos (\frac{x}{2})$
50893	Find the Average Rate of Change	f(x)=-(3)^(x-1)+3	$f (x) = - {(3)}^{x - 1} + 3$
50894	Find the Average Rate of Change	f(x)=x^3-x^2-2x-4	$f (x) = x^{3} - x^{2} - 2 x - 4$
50895	Find the Average Rate of Change	f(x)=x+3	$f (x) = x + 3$
50896	Find the Average Rate of Change	f(t)=(95t)/(99t-95)	$f (t) = \frac{95 t}{99 t - 95}$
50897	Find the Average Rate of Change	y=25(1.2)^5	$y = 25 {(1.2)}^{5}$
50898	Find the Average Rate of Change	P(t)=(600t)/(3t^2+4)	$P (t) = \frac{600 t}{3 t^{2} + 4}$
50899	Find the Average Rate of Change	f(x)=x^2-2 ; [-2,-1]	$f (x) = x^{2} - 2$ ; $[- 2, - 1]$
50900	Find the Average Rate of Change	y=7/2x	$y = \frac{7}{2} x$