Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
56101	Find the Asymptotes	(3x^2-10x^4)/(4x^2-7x^4)	$\frac{3 x^{2} - 10 x^{4}}{4 x^{2} - 7 x^{4}}$
56102	Find the Asymptotes	(3x^3-x^2-27x+9)/(x^2+4x+3)	$\frac{(3 x^{3} - x^{2} - 27 x + 9)}{x^{2} + 4 x + 3}$
56103	Find the Asymptotes	5tan(pix)	$5 \tan (π x)$
56104	Find the Asymptotes	(x^2-9x+18)/(x^2-6x+9)	$\frac{x^{2} - 9 x + 18}{x^{2} - 6 x + 9}$
56105	Find the Asymptotes	(3x^3-24)/(x^3-4x^2-4x+16)	$\frac{3 x^{3} - 24}{x^{3} - 4 x^{2} - 4 x + 16}$
56106	Find the Asymptotes	(x^2+2)/(x+2)	$\frac{x^{2} + 2}{x + 2}$
56107	Find the Asymptotes	(2x^2)/(x-2)	$\frac{2 x^{2}}{x - 2}$
56108	Find the Asymptotes	(e^x)/((x+19)^3)	$\frac{e^{x}}{{(x + 19)}^{3}}$
56109	Find the Asymptotes	(7x)/(x+5)	$\frac{7 x}{x + 5}$
56110	Find the Asymptotes	(2x^4+2x^3-60x^2)/(x^4-61x^2+900)	$\frac{2 x^{4} + 2 x^{3} - 60 x^{2}}{x^{4} - 61 x^{2} + 900}$
56111	Find the Asymptotes	(6x-6)/(x+2)	$\frac{(6 x - 6)}{x + 2}$
56112	Find the Asymptotes	(x^2-10x+21)/(x^2-5x+6)	$\frac{x^{2} - 10 x + 21}{x^{2} - 5 x + 6}$
56113	Find the Asymptotes	7-3/x	$7 - \frac{3}{x}$
56114	Find the Asymptotes	(x^2+2x+1)/(2x^2-x-3)	$\frac{x^{2} + 2 x + 1}{2 x^{2} - x - 3}$
56115	Find the Asymptotes	(x+3)/(2x^2-5x-3)	$\frac{x + 3}{2 x^{2} - 5 x - 3}$
56116	Find the Asymptotes	(2x)/((x+3)^5)	$\frac{2 x}{{(x + 3)}^{5}}$
56117	Find the Asymptotes	(x^3+2x^2-3x)/(x^2+x-2)	$\frac{x^{3} + 2 x^{2} - 3 x}{x^{2} + x - 2}$
56118	Find the Asymptotes	9-2/x	$9 - \frac{2}{x}$
56119	Find the Asymptotes	( square root of 9x^2+2x+5-4)/(x-1)	$\frac{\sqrt{9 x^{2} + 2 x + 5} - 4}{x - 1}$
56120	Find the Asymptotes	(x^2+5)/(x-5)	$\frac{x^{2} + 5}{x - 5}$
56121	Find the Asymptotes	1+ log base 3 of x	$1 + \log_{3} (x)$
56122	Find the Asymptotes	3-4/x	$3 - \frac{4}{x}$
56123	Find the Asymptotes	(9x-4)/(x-5)	$\frac{9 x - 4}{x - 5}$
56124	Find the Asymptotes	(4x)/( square root of x^2+5)	$\frac{4 x}{\sqrt{x^{2} + 5}}$
56125	Find the Asymptotes	(7x^2+7)/(11x^2-98x-9)	$\frac{7 x^{2} + 7}{11 x^{2} - 98 x - 9}$
56126	Find the Asymptotes	(2x)/(x^2-4x-5)	$\frac{2 x}{x^{2} - 4 x - 5}$
56127	Find the Asymptotes	(x^2+2x)/(x^3-25x)	$\frac{x^{2} + 2 x}{x^{3} - 25 x}$
56128	Find the Asymptotes	(2x-5)/x	$\frac{2 x - 5}{x}$
56129	Find the Asymptotes	(2x^3-5x)/(7x^2+x)	$\frac{2 x^{3} - 5 x}{7 x^{2} + x}$
56130	Find the Asymptotes	(4e^x)/(e^x-8)	$\frac{(4 e^{x})}{(e^{x} - 8)}$
56131	Find the Asymptotes	(7x-21)/((x-7)(x+1))	$\frac{7 x - 21}{(x - 7) (x + 1)}$
56132	Find the Asymptotes	(x^2-7x+12)/(2(x^2-16))	$\frac{x^{2} - 7 x + 12}{2 (x^{2} - 16)}$
56133	Find the Asymptotes	(x^3+1)/(x^2)	$\frac{x^{3} + 1}{x^{2}}$
56134	Find the Asymptotes	(6x^2+7x-5)/(3x+5)	$\frac{6 x^{2} + 7 x - 5}{3 x + 5}$
56135	Find the Asymptotes	(x^2+x-30)/(x-6)	$\frac{x^{2} + x - 30}{x - 6}$
56136	Find the Asymptotes	4-2/x	$4 - \frac{2}{x}$
56137	Find the Asymptotes	(8x)/(10x-7)	$\frac{8 x}{10 x - 7}$
56138	Find the Asymptotes	4-3/x	$4 - \frac{3}{x}$
56139	Find the Asymptotes	(x^3-64)/(x^2-25)	$\frac{x^{3} - 64}{x^{2} - 25}$
56140	Find the Asymptotes	( square root of 49x^4+6)/(4x^2+5)	$\frac{\sqrt{49 x^{4} + 6}}{4 x^{2} + 5}$
56141	Find the Asymptotes	(x^2)/(x^2+x+30)	$\frac{x^{2}}{x^{2} + x + 30}$
56142	Find the Asymptotes	(x+1)^2(9x-1)^(1/3)	${(x + 1)}^{2} {(9 x - 1)}^{\frac{1}{3}}$
56143	Find the Asymptotes	(6t)/(sin(t))	$\frac{6 t}{\sin (t)}$
56144	Find the Asymptotes	(2x+6)/(x^2-9)	$\frac{2 x + 6}{x^{2} - 9}$
56145	Find the Asymptotes	(2x)/( square root of x^2-1)	$\frac{2 x}{\sqrt{x^{2} - 1}}$
56146	Find the Asymptotes	(20x^2-x)/(1+4x^2)	$\frac{(20 x^{2} - x)}{1 + 4 x^{2}}$
56147	Find the Asymptotes	(2x-3)/(x-2)	$\frac{2 x - 3}{x - 2}$
56148	Find the Asymptotes	(3x^2-5x-2)/(2x^2-3x-2)	$\frac{3 x^{2} - 5 x - 2}{2 x^{2} - 3 x - 2}$
56149	Find the Asymptotes	(x^2-2x-2)/(x+1)	$\frac{x^{2} - 2 x - 2}{x + 1}$
56150	Find the Asymptotes	( square root of 2x^2-x+10)/(7x-5)	$\frac{\sqrt{2 x^{2} - x + 10}}{7 x - 5}$
56151	Find the Asymptotes	(4x-7)/x	$\frac{4 x - 7}{x}$
56152	Find the Asymptotes	(6x-12)/((x-6)(x+1))	$\frac{6 x - 12}{(x - 6) (x + 1)}$
56153	Find the Asymptotes	( square root of 2x^2-x+10)/(5x-2)	$\frac{\sqrt{2 x^{2} - x + 10}}{5 x - 2}$
56154	Find the Asymptotes	(2 square root of x)/(x-4 square root of x+4)	$\frac{2 \sqrt{x}}{x - 4 \sqrt{x} + 4}$
56155	Find the Asymptotes	(3x^2-9x+2)/(2x^2-4x+1)	$\frac{3 x^{2} - 9 x + 2}{2 x^{2} - 4 x + 1}$
56156	Find the Asymptotes	(2x^2+x-3)/(x^2-3x+2)	$\frac{2 x^{2} + x - 3}{x^{2} - 3 x + 2}$
56157	Find the Asymptotes	(x+11)/(x^2-36x)	$\frac{x + 11}{x^{2} - 36 x}$
56158	Find the Asymptotes	2/(x^2-25)	$\frac{2}{x^{2} - 25}$
56159	Find the Asymptotes	(4x)/(8x-5)	$\frac{4 x}{8 x - 5}$
56160	Find the Asymptotes	4csc(6x)+2	$4 \csc (6 x) + 2$
56161	Find the Asymptotes	(x+5)/(x^2+7x+10)	$\frac{x + 5}{x^{2} + 7 x + 10}$
56162	Find the Asymptotes	(x^2+25)/(x^2-25)	$\frac{x^{2} + 25}{x^{2} - 25}$
56163	Find the Asymptotes	(x^2-4x-5)/(x-5)	$\frac{x^{2} - 4 x - 5}{x - 5}$
56164	Find the Asymptotes	(x^3-125)/(x^2-64)	$\frac{x^{3} - 125}{x^{2} - 64}$
56165	Find the Asymptotes	log base 6 of x	$\log_{6} (x)$
56166	Find the Asymptotes	(2x)/(3x^2+1)	$\frac{2 x}{3 x^{2} + 1}$
56167	Find the Asymptotes	(8x)/(14x-9)	$\frac{8 x}{14 x - 9}$
56168	Find the Asymptotes	7-2/x	$7 - \frac{2}{x}$
56169	Find the Asymptotes	(x^2-4)/(x^4-81)	$\frac{x^{2} - 4}{x^{4} - 81}$
56170	Find the Asymptotes	2(2)^x	$2 {(2)}^{x}$
56171	Find the Asymptotes	(x^2-4)/(x^2+x-6)	$\frac{x^{2} - 4}{x^{2} + x - 6}$
56172	Find the Asymptotes	(4x^2-8x-12)/(3x^2-3)	$\frac{4 x^{2} - 8 x - 12}{3 x^{2} - 3}$
56173	Find the Asymptotes	(-cos(x)+6 square root of x)/( square root of x)	$\frac{- \cos (x) + 6 \sqrt{x}}{\sqrt{x}}$
56174	Find the Asymptotes	(x-6)/(36x-x^3)	$\frac{x - 6}{36 x - x^{3}}$
56175	Find the Asymptotes	(x^3-125)/(x^2-49)	$\frac{x^{3} - 125}{x^{2} - 49}$
56176	Find the Asymptotes	square root of 4x^2+3x-2x	$\sqrt{4 x^{2} + 3 x} - 2 x$
56177	Find the Asymptotes	(x^2+3x)/(x-1)	$\frac{(x^{2} + 3 x)}{x - 1}$
56178	Find the Asymptotes	(x+2)/(x^2-3x-10)	$\frac{x + 2}{x^{2} - 3 x - 10}$
56179	Find the Asymptotes	(x+6)/(8x-6)	$\frac{x + 6}{8 x - 6}$
56180	Find the Asymptotes	(4x^4+8x^3-96x^2)/(x^4-52x^2+576)	$\frac{4 x^{4} + 8 x^{3} - 96 x^{2}}{x^{4} - 52 x^{2} + 576}$
56181	Find the Difference Quotient	f(x) = square root of 7x-8	$f (x) = \sqrt{7 x - 8}$
56182	Find the Difference Quotient	f(x)=3x^2+2x-4	$f (x) = 3 x^{2} + 2 x - 4$
56183	Find the Difference Quotient	f(x)=8x^2-9	$f (x) = 8 x^{2} - 9$
56184	Find the Difference Quotient	f(x)=(3x^2-1)^2	$f (x) = {(3 x^{2} - 1)}^{2}$
56185	Find the Difference Quotient	f(x)=4/x	$f (x) = \frac{4}{x}$
56186	Find the Difference Quotient	f(x)=9 square root of x	$f (x) = 9 \sqrt{x}$
56187	Find the Difference Quotient	f(x)=-6x+4	$f (x) = - 6 x + 4$
56188	Find the Difference Quotient	f(x)=x^2+3x-1	$f (x) = x^{2} + 3 x - 1$
56189	Find the Difference Quotient	f(x)=bx^2+dx+g	$f (x) = b x^{2} + d x + g$
56190	Find the Difference Quotient	f(x)=8x^2-10x+1	$f (x) = 8 x^{2} - 10 x + 1$
56191	Find the Difference Quotient	f(x)=5-3x^3	$f (x) = 5 - 3 x^{3}$
56192	Find the Difference Quotient	f(x)=8x-11	$f (x) = 8 x - 11$
56193	Find the Difference Quotient	f(x)=3x-2x^2	$f (x) = 3 x - 2 x^{2}$
56194	Find the Difference Quotient	f(x)=-3x+8	$f (x) = - 3 x + 8$
56195	Find the Difference Quotient	f(x)=66	$f (x) = 66$
56196	Find the Difference Quotient	f(x)=1/(2x+5)	$f (x) = \frac{1}{2 x + 5}$
56197	Find the Difference Quotient	f(x)=1/2x	$f (x) = \frac{1}{2} x$
56198	Find the Difference Quotient	f(x)=8x+3	$f (x) = 8 x + 3$
56199	Find the Difference Quotient	f(x) = square root of x-14	$f (x) = \sqrt{x - 14}$
56200	Find the Difference Quotient	h(w)=(6w^5-w)/w	$h (w) = \frac{6 w^{5} - w}{w}$