Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
52901	Find the Asymptotes	f(x)=(4x-7)/(x-4)	$f (x) = \frac{4 x - 7}{x - 4}$
52902	Find the Asymptotes	f(x)=(5x^3+4x+3)/(3x^3+5x-5)	$f (x) = \frac{5 x^{3} + 4 x + 3}{3 x^{3} + 5 x - 5}$
52903	Find the Asymptotes	f(x)=(6x-7)/(x-2)	$f (x) = \frac{6 x - 7}{x - 2}$
52904	Find the Asymptotes	f(x)=(8x)/(x^3-3x^2)	$f (x) = \frac{8 x}{x^{3} - 3 x^{2}}$
52905	Find the Asymptotes	f(x)=9/(x^2-3x-28)	$f (x) = \frac{9}{x^{2} - 3 x - 28}$
52906	Find the Asymptotes	f(x)=(cos(x)+3 square root of x)/( square root of x)	$f (x) = \frac{\cos (x) + 3 \sqrt{x}}{\sqrt{x}}$
52907	Find the Asymptotes	f(x)=(x^2+3x-10)/(x^2+2x-15)	$f (x) = \frac{x^{2} + 3 x - 10}{x^{2} + 2 x - 15}$
52908	Find the Asymptotes	f(x)=(x^2-2)/(x+4)	$f (x) = \frac{x^{2} - 2}{x + 4}$
52909	Find the Asymptotes	f(x)=(x^2-4x-5)/(2x^2-x-10)	$f (x) = \frac{x^{2} - 4 x - 5}{2 x^{2} - x - 10}$
52910	Find the Asymptotes	f(x)=(x^2-6x+8)/(3x^2-3x-36)	$f (x) = \frac{x^{2} - 6 x + 8}{3 x^{2} - 3 x - 36}$
52911	Find the Asymptotes	f(x)=(x^2-7x+12)/(x^2-9)	$f (x) = \frac{x^{2} - 7 x + 12}{x^{2} - 9}$
52912	Find the Asymptotes	f(x)=(x^2-8x+12)/(x^2-5x+6)	$f (x) = \frac{x^{2} - 8 x + 12}{x^{2} - 5 x + 6}$
52913	Find the Asymptotes	f(x)=(x^2-8x+12)/(x^2-6x+8)	$f (x) = \frac{x^{2} - 8 x + 12}{x^{2} - 6 x + 8}$
52914	Find the Asymptotes	f(x)=(x^2-9)/(3x-9)	$f (x) = \frac{x^{2} - 9}{3 x - 9}$
52915	Find the Asymptotes	f(x)=(x^2-9x+20)/(x^2-7x+12)	$f (x) = \frac{x^{2} - 9 x + 20}{x^{2} - 7 x + 12}$
52916	Find the Asymptotes	f(x)=(x^3-11x^2+24x)/(x^2-8x)	$f (x) = \frac{x^{3} - 11 x^{2} + 24 x}{x^{2} - 8 x}$
52917	Find the Asymptotes	f(x)=(x-100)/(x^2-100)	$f (x) = \frac{x - 100}{x^{2} - 100}$
52918	Find the Asymptotes	f(x)=6-9/x	$f (x) = 6 - \frac{9}{x}$
52919	Find the Asymptotes	f(x)=csc(pix)	$f (x) = \csc (π x)$
52920	Find the Asymptotes	f(x)=e^(x+2)	$f (x) = e^{x + 2}$
52921	Find the Asymptotes	f(x)=tan((pix)/2)	$f (x) = \tan (\frac{π x}{2})$
52922	Find the Area Under the Curve	y=2x^3+12x^2+16x , -4<=x<=0	$y = 2 x^{3} + 12 x^{2} + 16 x$ , $- 4 \leq x \leq 0$
52923	Find the Area Under the Curve	y=81-x^2 ; [-9,9]	$y = 81 - x^{2}$ ; $[- 9, 9]$
52924	Find the Area Under the Curve	y=9x^3 , [1,2]	$y = 9 x^{3}$ , $[1, 2]$
52925	Find the Area Under the Curve	y=-x^2-3x , -4<=x<=4	$y = - x^{2} - 3 x$ , $- 4 \leq x \leq 4$
52926	Find the Area Under the Curve	y=(15x-x^8)/5 , [-5,5]	$y = \frac{(15 x - x^{8})}{5}$ , $[- 5, 5]$
52927	Find the Area Under the Curve	y=1/2(e^x+e^(-x)) , [0,2]	$y = \frac{1}{2} (e^{x} + e^{- x})$ , $[0, 2]$
52928	Find the Area Under the Curve	y=10/x , [1,e]	$y = \frac{10}{x}$ , $[1, e]$
52929	Find the Area Under the Curve	y=-x^2-3x , -7<=x<=1	$y = - x^{2} - 3 x$ , $- 7 \leq x \leq 1$
52930	Find the Maximum/Minimum Value	1/12x^2-10x+300	$\frac{1}{12} x^{2} - 10 x + 300$
52931	Find the Maximum/Minimum Value	-0.02x^2+20x-1500	$- 0.02 x^{2} + 20 x - 1500$
52932	Find the Maximum/Minimum Value	-0.1t^2+0.8t+98.7	$- 0.1 t^{2} + 0.8 t + 98.7$
52933	Find the Maximum/Minimum Value	-0.2t^2+2.4t+98.3	$- 0.2 t^{2} + 2.4 t + 98.3$
52934	Find the Maximum/Minimum Value	0.5x^2+15x+5000	$0.5 x^{2} + 15 x + 5000$
52935	Find the Maximum/Minimum Value	1-3x-x^2	$1 - 3 x - x^{2}$
52936	Find the Maximum/Minimum Value	1-4x^2	$1 - 4 x^{2}$
52937	Find the Maximum/Minimum Value	-15x^2+46x+85	$- 15 x^{2} + 46 x + 85$
52938	Find the Maximum/Minimum Value	2x^3-3x^2-72x+1	$2 x^{3} - 3 x^{2} - 72 x + 1$
52939	Find the Maximum/Minimum Value	3+(x+1)^2	$3 + {(x + 1)}^{2}$
52940	Find the Maximum/Minimum Value	4x^2-16x+4	$4 x^{2} - 16 x + 4$
52941	Find the Maximum/Minimum Value	x^2+10x+24	$x^{2} + 10 x + 24$
52942	Find the Maximum/Minimum Value	x^2+10x+8	$x^{2} + 10 x + 8$
52943	Find the Maximum/Minimum Value	x^2+11	$x^{2} + 11$
52944	Find the Maximum/Minimum Value	x^2+8x+13	$x^{2} + 8 x + 13$
52945	Find the Maximum/Minimum Value	x^2+8x+17	$x^{2} + 8 x + 17$
52946	Find the Maximum/Minimum Value	x^2-10x+16	$x^{2} - 10 x + 16$
52947	Find the Maximum/Minimum Value	x^2-10x-3	$x^{2} - 10 x - 3$
52948	Find the Maximum/Minimum Value	x^2-10x-7	$x^{2} - 10 x - 7$
52949	Find the Maximum/Minimum Value	x^2-12x+9	$x^{2} - 12 x + 9$
52950	Find the Maximum/Minimum Value	x^2-4x-6	$x^{2} - 4 x - 6$
52951	Find the Maximum/Minimum Value	x^2-4x-7	$x^{2} - 4 x - 7$
52952	Find the Maximum/Minimum Value	x^2-8x+13	$x^{2} - 8 x + 13$
52953	Find the Maximum/Minimum Value	x^2-8x+19	$x^{2} - 8 x + 19$
52954	Find the Maximum/Minimum Value	x^3-12x+12	$x^{3} - 12 x + 12$
52955	Find the Maximum/Minimum Value	x+81/x	$x + \frac{81}{x}$
52956	Find the Asymptotes	f(x)=( square root of 25x^2+7)/(8x+4)	$f (x) = \frac{\sqrt{25 x^{2} + 7}}{8 x + 4}$
52957	Find the Asymptotes	f(x)=( square root of x)/(x-8 square root of x+16)	$f (x) = \frac{\sqrt{x}}{x - 8 \sqrt{x} + 16}$
52958	Find the Asymptotes	f(x)=1/(sin(x))	$f (x) = \frac{1}{\sin (x)}$
52959	Find the Asymptotes	f(x)=(16x)/(20x-3)	$f (x) = \frac{16 x}{20 x - 3}$
52960	Find the Asymptotes	f(x)=(2x)/(14x-5)	$f (x) = \frac{2 x}{14 x - 5}$
52961	Find the Asymptotes	f(x)=(2x)/(9x^2+1)	$f (x) = \frac{2 x}{9 x^{2} + 1}$
52962	Find the Asymptotes	f(x)=(2x+5)/(x-1)	$f (x) = \frac{2 x + 5}{x - 1}$
52963	Find the Asymptotes	f(x)=(2x-1)/(15x^2-12)	$f (x) = \frac{2 x - 1}{15 x^{2} - 12}$
52964	Find the Asymptotes	f(x)=(2x-5)/(x-6)	$f (x) = \frac{2 x - 5}{x - 6}$
52965	Find the Asymptotes	f(x)=(3x)/(6x-7)	$f (x) = \frac{3 x}{6 x - 7}$
52966	Find the Asymptotes	f(x)=(3x^2)/(x-3)	$f (x) = \frac{3 x^{2}}{x - 3}$
52967	Find the Asymptotes	f(x)=(3x-4)/(x-3)	$f (x) = \frac{3 x - 4}{x - 3}$
52968	Find the Asymptotes	f(x)=(3x-7)/(x-6)	$f (x) = \frac{3 x - 7}{x - 6}$
52969	Find the Asymptotes	f(x)=(4x)/(24x-5)	$f (x) = \frac{4 x}{24 x - 5}$
52970	Find the Asymptotes	f(x)=(4x^2-25x+6)/(x^2-5x-6)	$f (x) = \frac{4 x^{2} - 25 x + 6}{x^{2} - 5 x - 6}$
52971	Find the Asymptotes	f(x)=(4x^3+15x^2+9x)/(x^3+3x^2)	$f (x) = \frac{4 x^{3} + 15 x^{2} + 9 x}{x^{3} + 3 x^{2}}$
52972	Find the Asymptotes	f(x)=(5+x)/(5-x)	$f (x) = \frac{5 + x}{5 - x}$
52973	Find the Asymptotes	f(x)=(5x)/(x^3-7x^2)	$f (x) = \frac{5 x}{x^{3} - 7 x^{2}}$
52974	Find the Asymptotes	f(x)=(5x^2+9)/(x^2-9)	$f (x) = \frac{5 x^{2} + 9}{x^{2} - 9}$
52975	Find the Asymptotes	f(x)=(6x^3-5x)/(3x^2+x)	$f (x) = \frac{6 x^{3} - 5 x}{3 x^{2} + x}$
52976	Find the Asymptotes	f(x)=(6x-7)/(x-7)	$f (x) = \frac{6 x - 7}{x - 7}$
52977	Find the Asymptotes	f(x)=(7sin(x))/(sin(x)+1)	$f (x) = \frac{7 \sin (x)}{\sin (x) + 1}$
52978	Find the Asymptotes	f(x)=(7x)/(sin(x))	$f (x) = \frac{7 x}{\sin (x)}$
52979	Find the Asymptotes	f(x)=(7x)/(x^2-6x)	$f (x) = \frac{7 x}{x^{2} - 6 x}$
52980	Find the Asymptotes	f(x)=(cos(x)+2 square root of x)/( square root of x)	$f (x) = \frac{\cos (x) + 2 \sqrt{x}}{\sqrt{x}}$
52981	Find the Asymptotes	f(x)=(e^(-2x))/(x-9)	$f (x) = \frac{e^{- 2 x}}{x - 9}$
52982	Find the Asymptotes	f(x)=(x(x-1))/(x^3+25x)	$f (x) = \frac{x (x - 1)}{x^{3} + 25 x}$
52983	Find the Asymptotes	f(x)=x/( fourth root of x^4+1)	$f (x) = \frac{x}{\sqrt[4]{x^{4} + 1}}$
52984	Find the Asymptotes	f(x)=x/( square root of 9x^2+1)	$f (x) = \frac{x}{\sqrt{9 x^{2} + 1}}$
52985	Find the Asymptotes	f(x)=(x^2+4x-45)/(x^2-25)	$f (x) = \frac{x^{2} + 4 x - 45}{x^{2} - 25}$
52986	Find the Asymptotes	f(x)=(x^2+x-12)/(7x^3-14x^2-21x)	$f (x) = \frac{x^{2} + x - 12}{7 x^{3} - 14 x^{2} - 21 x}$
52987	Find the Asymptotes	f(x)=(x^2-100)/x	$f (x) = \frac{x^{2} - 100}{x}$
52988	Find the Asymptotes	f(x)=(x^2-10x+21)/(x^2-5x+6)	$f (x) = \frac{x^{2} - 10 x + 21}{x^{2} - 5 x + 6}$
52989	Find the Asymptotes	f(x)=(x^2-4)/(16x-x^4)	$f (x) = \frac{x^{2} - 4}{16 x - x^{4}}$
52990	Find the Asymptotes	f(x)=(x^2-64)/(x+8)	$f (x) = \frac{x^{2} - 64}{x + 8}$
52991	Find the Asymptotes	f(x)=(x^2-8)/(2x^2-18)	$f (x) = \frac{x^{2} - 8}{2 x^{2} - 18}$
52992	Find the Asymptotes	f(x)=(x^2-8x+15)/(x^2-7x+12)	$f (x) = \frac{x^{2} - 8 x + 15}{x^{2} - 7 x + 12}$
52993	Find the Asymptotes	f(x)=(x+1)/(2x^2-3x-5)	$f (x) = \frac{x + 1}{2 x^{2} - 3 x - 5}$
52994	Find the Asymptotes	f(x)=(x+6)/(x^2-64)	$f (x) = \frac{x + 6}{x^{2} - 64}$
52995	Find the Asymptotes	f(x)=(x-1)/(x^2-4x+3)	$f (x) = \frac{x - 1}{x^{2} - 4 x + 3}$
52996	Find the Asymptotes	f(x)=2(2/5)^x	$f (x) = 2 {(\frac{2}{5})}^{x}$
52997	Find the Asymptotes	f(x)=4(4/5)^x	$f (x) = 4 {(\frac{4}{5})}^{x}$
52998	Find the Asymptotes	f(x)=4csc(1/4pix+1/3pi)	$f (x) = 4 \csc (\frac{1}{4} π x + \frac{1}{3} π)$
52999	Find the Asymptotes	f(x)=5e^(x-2)	$f (x) = 5 e^{x - 2}$
53000	Find the Asymptotes	f(x)=-6cot(3pix)+2	$f (x) = - 6 \cot (3 π x) + 2$