Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
14936	Find the Average Rate of Change	f(x)=8(3/2)^x	$f (x) = 8 {(\frac{3}{2})}^{x}$
14937	Find the Average Rate of Change	f(x)=e^(x-3)+2 , [3,6]	$f (x) = e^{x - 3} + 2$ , $[3, 6]$
14938	Find the Average Rate of Change	sin(x)	$\sin (x)$
14939	Find the Average Rate of Change	f(x) = natural log of x , [1,e]	$f (x) = \ln (x)$ , $[1, e]$
14940	Find the Average Rate of Change	y=1800(1/2)^(x/11)	$y = 1800 {(\frac{1}{2})}^{\frac{x}{11}}$
14941	Find the Average Rate of Change	f(x)=3x^2-x-2 on -1 , 4	$f (x) = 3 x^{2} - x - 2$ on $- 1$ , $4$
14942	Find the Average Rate of Change	table[[Time(s),Distan(ce)(ft)],[0,3],[2,8],[6,20],[9,10],[15,10]]	$\begin{array}{c} T i m e (s) & D i s \tan (c e) (f t) \\ 0 & 3 \\ 2 & 8 \\ 6 & 20 \\ 9 & 10 \\ 15 & 10 \end{array}$
14943	Find the Average Rate of Change	g(t)=240(0.75)^3	$g (t) = 240 {(0.75)}^{3}$
14944	Find the Average Rate of Change	f(t)=e^(sin(t))cos(t) , [0,pi/2]	$f (t) = e^{\sin (t)} \cos (t)$ , $[0, \frac{π}{2}]$
14945	Find the Average Rate of Change	f(x) = square root of 3x-2 from x_1=1 to x_2=4	$f (x) = \sqrt{3 x - 2}$ from $x_{1} = 1$ to $x_{2} = 4$
14946	Find the Average Rate of Change	f(x)=2cos(x)+1	$f (x) = 2 \cos (x) + 1$
14947	Find the Average Rate of Change	f(x)=x(x-4)^2 ; [0,4]	$f (x) = x {(x - 4)}^{2}$ ; $[0, 4]$
14948	Find the Average Rate of Change	f(x)=4x^3-2x-4 ; between 1 and 4	$f (x) = 4 x^{3} - 2 x - 4$ ; between $1$ and $4$
14949	Find the Average Rate of Change	12+2e^(-2x)	$12 + 2 e^{- 2 x}$
14950	Find the Average Rate of Change	g(x)=1/3 cube root of x+27	$g (x) = \frac{1}{3} \sqrt[3]{x + 27}$
14951	Find the Average Rate of Change	Consider the function f(x)=x^2+x and the point (1,2)	Consider the function $f (x) = x^{2} + x$ and the point $(1, 2)$
14952	Find the Average Rate of Change	f(6)=1000/(6^2+4)	$f (6) = \frac{1000}{6^{2} + 4}$
14953	Find the Average Rate of Change	(-1,-6) and (-5,2)	$(- 1, - 6)$ and $(- 5, 2)$
14954	Find the Average Rate of Change	g(x)=1/2x^2-3	$g (x) = \frac{1}{2} x^{2} - 3$
14955	Find the Average Rate of Change	f(x)=1-x^2 over [1,2]	$f (x) = 1 - x^{2}$ over $[1, 2]$
14956	Find the Average Rate of Change	table[[x,f(x)],[0,5],[1,8]]	$\begin{array}{c} x & f (x) \\ 0 & 5 \\ 1 & 8 \end{array}$
14957	Find the Average Rate of Change	-x^3+24x^2-179x+495	$- x^{3} + 24 x^{2} - 179 x + 495$
14958	Find the Average Rate of Change	w(x) = natural log of x ; , 1<=x<=7	$w (x) = \ln (x)$ ; , $1 \leq x \leq 7$
14959	Find the Average Rate of Change	f(x)=3x^2-x^3 , (-1,4)	$f (x) = 3 x^{2} - x^{3}$ , $(- 1, 4)$
14960	Find the Average Rate of Change	f(t)=330(1.04)^(30t)	$f (t) = 330 {(1.04)}^{30 t}$
14961	Find the Average Rate of Change	f(x)=x^2-2 , x>=0	$f (x) = x^{2} - 2$ , $x \geq 0$
14962	Find the Average Rate of Change	table[[t,B],[4.5,45.5],[8,21],[10,7]]	$\begin{array}{c} t & B \\ 4.5 & 45.5 \\ 8 & 21 \\ 10 & 7 \end{array}$
14963	Find the Average Rate of Change	(-2,5) to (1,-4)	$(- 2, 5)$ to $(1, - 4)$
14964	Find the Average Rate of Change	c(x)=10e^(0.02x)	$c (x) = 10 e^{0.02 x}$