Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
56201	Find the Difference Quotient	f(x)=8/(x+8)	$f (x) = \frac{8}{x + 8}$
56202	Find the Difference Quotient	f(x)=2x^2-5 square root of x	$f (x) = 2 x^{2} - 5 \sqrt{x}$
56203	Find the Difference Quotient	f(x)=2-5x^3	$f (x) = 2 - 5 x^{3}$
56204	Find the Difference Quotient	f(x)=x^2-2x+7	$f (x) = x^{2} - 2 x + 7$
56205	Find the Difference Quotient	f(x)=7x^2+8x-12	$f (x) = 7 x^{2} + 8 x - 12$
56206	Find the Difference Quotient	f(x)=5x^2-3x-1	$f (x) = 5 x^{2} - 3 x - 1$
56207	Find the Difference Quotient	f(x)=mx^2+ax+b	$f (x) = m x^{2} + a x + b$
56208	Convert to Logarithmic Form	5e^(7x)=1145	$5 e^{7 x} = 1145$
56209	Convert to Logarithmic Form	(1/4)^-4=256	${(\frac{1}{4})}^{- 4} = 256$
56210	Convert to Logarithmic Form	5^x=17	$5^{x} = 17$
56211	Convert to Logarithmic Form	square root of 64=8	$\sqrt{64} = 8$
56212	Convert to Logarithmic Form	natural log of cube root of y-2 , y>2	$\ln (\sqrt[3]{y - 2})$ , $y > 2$
56213	Convert to Logarithmic Form	x^y=P	$x^{y} = P$
56214	Convert to Logarithmic Form	4096^(1/4)=8	$4096^{\frac{1}{4}} = 8$
56215	Convert to Logarithmic Form	(3/2)^-2=4/9	${(\frac{3}{2})}^{- 2} = \frac{4}{9}$
56216	Convert to Logarithmic Form	13^x=137	$13^{x} = 137$
56217	Convert to Logarithmic Form	25^x+5^(1+2x)=40	$25^{x} + 5^{1 + 2 x} = 40$
56218	Convert to Logarithmic Form	natural log of fourth root of t	$\ln (\sqrt[4]{t})$
56219	Convert to Logarithmic Form	log of ( square root of x)/(100000y^5) =	$\log (\frac{\sqrt{x}}{100000 y^{5}}) =$
56220	Convert to Logarithmic Form	e^10=L	$e^{10} = L$
56221	Convert to Logarithmic Form	2^y=x	$2^{y} = x$
56222	Convert to Logarithmic Form	log base b of 108b	$\log_{b} (108 b)$
56223	Convert to Logarithmic Form	(0.4)^2=0.16	${(0.4)}^{2} = 0.16$
56224	Convert to Logarithmic Form	e^3=20.08	$e^{3} = 20.08$
56225	Convert to Logarithmic Form	cube root of e=1.40	$\sqrt[3]{e} = 1.4$
56226	Convert to Logarithmic Form	e^(2t)=2400	$e^{2 t} = 2400$
56227	Convert to Logarithmic Form	6^x=2	$6^{x} = 2$
56228	Convert to Logarithmic Form	(7/8)^x=155	${(\frac{7}{8})}^{x} = 155$
56229	Convert to Logarithmic Form	( log of s)/( log of r)+8 log base r of s-3 log base r of t	$\frac{\log (s)}{\log (r)} + 8 \log_{r} (s) - 3 \log_{r} (t)$
56230	Convert to Logarithmic Form	10^-7=0.0000001	$10^{- 7} = 0.0000001$
56231	Convert to Logarithmic Form	log of 100x square root of x-3	$\log (100 x \sqrt{x - 3})$
56232	Convert to Logarithmic Form	1000e^(8r)=2457.5	$1000 e^{8 r} = 2457.5$
56233	Convert to Logarithmic Form	pi^(1-9x)=e^x	$π^{1 - 9 x} = e^{x}$
56234	Convert to Logarithmic Form	4^x+2^(1+2x)=50	$4^{x} + 2^{1 + 2 x} = 50$
56235	Convert to Logarithmic Form	e^k=4	$e^{k} = 4$
56236	Convert to Logarithmic Form	log base 5 of 5 1/3	$\log_{5} (5 \frac{1}{3})$
56237	Convert to Logarithmic Form	e^(3x+1)=15	$e^{3 x + 1} = 15$
56238	Find the Vertex Form	y=-2x^2-7x+5	$y = - 2 x^{2} - 7 x + 5$
56239	Find the Vertex Form	y=-2x^2+4x+3	$y = - 2 x^{2} + 4 x + 3$
56240	Find the Vertex Form	5y^2-45y+4x+373/4=0	$5 y^{2} - 45 y + 4 x + \frac{373}{4} = 0$
56241	Find the Vertex Form	y=x^2+14x+49	$y = x^{2} + 14 x + 49$
56242	Graph the Line Segment	(negative infinity,2),(2,infinity)	$(- \infty, 2) (2, \infty)$
56243	Solve Using a Matrix by Row Operations	20-x28=10-12y , 20-x28=10z , x+y=z	$20 - x \cdot 28 = 10 - 12 y$ , $20 - x \cdot 28 = 10 z$ , $x + y = z$
56244	Find the Tangent at a Given Point Using the Limit Definition	f(x)=7x+3 ; (1,10)	$f (x) = 7 x + 3$ ; $(1, 10)$
56245	Find the Tangent at a Given Point Using the Limit Definition	f(x)=4x-x^2 , (2,5)	$f (x) = 4 x - x^{2}$ , $(2, 5)$
56246	Find the Tangent at a Given Point Using the Limit Definition	f(x) = square root of x , (3, square root of 3)	$f (x) = \sqrt{x}$ , $(3, \sqrt{3})$
56247	Find the Sum of the Functions	R(x)=50x-0.5x^2 , C(x)=5x+15	$R (x) = 50 x - 0.5 x^{2}$ , $C (x) = 5 x + 15$
56248	Find the Difference Quotient	g(u) = square root of 3u+ square root of 5u	$g (u) = \sqrt{3 u} + \sqrt{5 u}$
56249	Find the Difference Quotient	f(x)=3/5x^10	$f (x) = \frac{3}{5} x^{10}$
56250	Find the Equation with a Point and y-intercept	ysin(12x)=xcos(2y) , (pi/2,pi/4)	$y \sin (12 x) = x \cos (2 y)$ , $(\frac{π}{2}, \frac{π}{4})$
56251	Find the Equation with a Point and y-intercept	f(x) = square root of x+1/( square root of x) ; (4,5/2)	$f (x) = \sqrt{x} + \frac{1}{\sqrt{x}}$ ; $(4, \frac{5}{2})$
56252	Find the Reciprocal	-pi/4	$- \frac{π}{4}$
56253	Find the Reciprocal	(2pi)/3	$\frac{2 π}{3}$
56254	Use the Rational Roots Test to Find All Possible Roots	f(x)=2x^4-15x^3+52x^2+84x+72	$f (x) = 2 x^{4} - 15 x^{3} + 52 x^{2} + 84 x + 72$
56255	Use the Rational Roots Test to Find All Possible Roots	g(x)=7x^4-26x^3+12x^2+10x-3	$g (x) = 7 x^{4} - 26 x^{3} + 12 x^{2} + 10 x - 3$
56256	Write in Standard Form	25x^2+4y^2-150x+40y+350=0	$25 x^{2} + 4 y^{2} - 150 x + 40 y + 350 = 0$
56257	Find the Leading Coefficient	(3x-y)^6	${(3 x - y)}^{6}$
56258	Find the Inflection Points	f(x)=2x^(9/5)+6	$f (x) = 2 x^{\frac{9}{5}} + 6$
56259	Find the Inflection Points	f(x)=-2x^3+18x^2+167x-3	$f (x) = - 2 x^{3} + 18 x^{2} + 167 x - 3$
56260	Find the Inflection Points	f(x)=2x^3+2x+7	$f (x) = 2 x^{3} + 2 x + 7$
56261	Find the Inflection Points	f(x)=1+7/x-5/(x^2)	$f (x) = 1 + \frac{7}{x} - \frac{5}{x^{2}}$
56262	Find the Inflection Points	f(x)=0x^2-4x^-2	$f (x) = 0 x^{2} - 4 x^{- 2}$
56263	Find the Inflection Points	f(x)=0.25x^4-2x^3	$f (x) = 0.25 x^{4} - 2 x^{3}$
56264	Find the Inflection Points	f(x)=-6/(x-8)	$f (x) = - \frac{6}{(x - 8)}$
56265	Find the Inflection Points	f(x)=(-7x)/(5x^2+4)	$f (x) = \frac{- 7 x}{5 x^{2} + 4}$
56266	Find the Inflection Points	f(x)=9/x+x+1	$f (x) = \frac{9}{x} + x + 1$
56267	Find the Inflection Points	f(x)=(x^2)/(x^2-64)	$f (x) = \frac{x^{2}}{x^{2} - 64}$
56268	Find the Inflection Points	f(x)=(x+1)^5-5x-2	$f (x) = {(x + 1)}^{5} - 5 x - 2$
56269	Find the Inflection Points	f(x)=(x+1)/(x^2-7x-8)	$f (x) = \frac{x + 1}{x^{2} - 7 x - 8}$
56270	Find the Inflection Points	f(x)=(x+1)/(x^2-4x-5)	$f (x) = \frac{x + 1}{x^{2} - 4 x - 5}$
56271	Find the Inflection Points	f(x)=(x+1)/(x^2-5x-6)	$f (x) = \frac{x + 1}{x^{2} - 5 x - 6}$
56272	Find the Inflection Points	f(x)=(x+3)(x-3)^2	$f (x) = (x + 3) {(x - 3)}^{2}$
56273	Find the Inflection Points	f(x)=(x^2-5)e^x	$f (x) = (x^{2} - 5) e^{x}$
56274	Find the Inflection Points	f(x)=1/3x^3-4x-7	$f (x) = \frac{1}{3} x^{3} - 4 x - 7$
56275	Find the Inflection Points	f(x)=(2x^3)/(x^4+1)	$f (x) = \frac{2 x^{3}}{x^{4} + 1}$
56276	Find the Inflection Points	f(x)=(2x^5)/(x^4+1)	$f (x) = \frac{2 x^{5}}{x^{4} + 1}$
56277	Find the Inflection Points	g(x)=2x^4+12x^2-10	$g (x) = 2 x^{4} + 12 x^{2} - 10$
56278	Find the Inflection Points	f(x)=x^4-20x^3+150x^2	$f (x) = x^{4} - 20 x^{3} + 150 x^{2}$
56279	Find the Inflection Points	f(x)=x^3-x^2+4	$f (x) = x^{3} - x^{2} + 4$
56280	Find the Inflection Points	f(x)=x^3-6x^2+23x-30	$f (x) = x^{3} - 6 x^{2} + 23 x - 30$
56281	Find the Inflection Points	f(x)=x^3-6x^2+12x-8	$f (x) = x^{3} - 6 x^{2} + 12 x - 8$
56282	Find the Inflection Points	f(x)=x^3-12x^2-27x+2	$f (x) = x^{3} - 12 x^{2} - 27 x + 2$
56283	Find the Inflection Points	f(x)=x^2(5-x)^2	$f (x) = x^{2} {(5 - x)}^{2}$
56284	Find the Inflection Points	f(x)=3x^4-20x^3+42x^2-36x	$f (x) = 3 x^{4} - 20 x^{3} + 42 x^{2} - 36 x$
56285	Find the Inflection Points	f(x)=2x^3-3x^2+18x-8	$f (x) = 2 x^{3} - 3 x^{2} + 18 x - 8$
56286	Find the Inflection Points	f(x)=3/32x^2-4x^-2	$f (x) = \frac{3}{32} x^{2} - 4 x^{- 2}$
56287	Find the Inflection Points	f(x)=(2x^2)/((x-1)^2)	$f (x) = \frac{2 x^{2}}{{(x - 1)}^{2}}$
56288	Find the Inflection Points	f(x)=1/3x^3-5/2x^2+6x-11	$f (x) = \frac{1}{3} x^{3} - \frac{5}{2} x^{2} + 6 x - 11$
56289	Find the Inflection Points	f(x)=1/3x^3-5/2x^2+6x-8	$f (x) = \frac{1}{3} x^{3} - \frac{5}{2} x^{2} + 6 x - 8$
56290	Find the Inflection Points	f(x)=(x-2)/(x^2-5x+6)	$f (x) = \frac{(x - 2)}{x^{2} - 5 x + 6}$
56291	Find the Inflection Points	f(x)=1/3x^4+4x^3	$f (x) = \frac{1}{3} x^{4} + 4 x^{3}$
56292	Find the Inflection Points	f(x)=1/3x^6+x^5	$f (x) = \frac{1}{3} x^{6} + x^{5}$
56293	Find the Inflection Points	g(x)=4x^4-8x^3+5	$g (x) = 4 x^{4} - 8 x^{3} + 5$
56294	Find the Inflection Points	f(s)=3s^3+18s^2+5	$f (s) = 3 s^{3} + 18 s^{2} + 5$
56295	Find the Inflection Points	f(x)=x^3-9x^2-21x+7	$f (x) = x^{3} - 9 x^{2} - 21 x + 7$
56296	Find the Inflection Points	f(x)=x^4-108x+11	$f (x) = x^{4} - 108 x + 11$
56297	Find the Inflection Points	f(x)=x^4-2x^3+5	$f (x) = x^{4} - 2 x^{3} + 5$
56298	Find the Inflection Points	f(x)=x^4-4x^3+6x^2-4x+1	$f (x) = x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1$
56299	Find the Inflection Points	f(x)=x^4-4x^3+20	$f (x) = x^{4} - 4 x^{3} + 20$
56300	Find the Inflection Points	f(x)=x^3-3x^2+3x-2	$f (x) = x^{3} - 3 x^{2} + 3 x - 2$