Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
54201	Find the Inflection Points	1/5x^5+7/2x^4+71/3x^3+77x^2+120x	$\frac{1}{5} x^{5} + \frac{7}{2} x^{4} + \frac{71}{3} x^{3} + 77 x^{2} + 120 x$
54202	Find the Inflection Points	x^4+4x^3+10	$x^{4} + 4 x^{3} + 10$
54203	Find the Inflection Points	(x+3)/(x^2)	$\frac{x + 3}{x^{2}}$
54204	Find the Inflection Points	36e^x-e^(2x)	$36 e^{x} - e^{2 x}$
54205	Find the Inflection Points	x^2+3x-28	$x^{2} + 3 x - 28$
54206	Find the Inflection Points	x^3-9x^2+24x-18	$x^{3} - 9 x^{2} + 24 x - 18$
54207	Find the Inflection Points	-x^3-9x^2-27x+6	$- x^{3} - 9 x^{2} - 27 x + 6$
54208	Find the Inflection Points	(x^5)/10+(x^4)/8+1	$\frac{x^{5}}{10} + \frac{x^{4}}{8} + 1$
54209	Find the Inflection Points	2x^3-12x^2+18x	$2 x^{3} - 12 x^{2} + 18 x$
54210	Find the Inflection Points	( natural log of x)/x	$\frac{(\ln (x))}{x}$
54211	Find the Inflection Points	x^2(x-3)(x-6)	$x^{2} (x - 3) (x - 6)$
54212	Find the Inflection Points	x^2e^(15x)	$x^{2} e^{15 x}$
54213	Find the Inflection Points	e^(-0.5x^2)	$e^{- 0.5 x^{2}}$
54214	Find the Inflection Points	5x^2 natural log of x/4	$5 x^{2} \ln (\frac{x}{4})$
54215	Find the Inflection Points	8cos(x)^2-16sin(x)	$8 \cos^{2} (x) - 16 \sin (x)$
54216	Find the Inflection Points	10x^3-3x^5	$10 x^{3} - 3 x^{5}$
54217	Find the Inflection Points	x^3-6x^2-15x+46	$x^{3} - 6 x^{2} - 15 x + 46$
54218	Find the Inflection Points	2x^4-4x^3+9	$2 x^{4} - 4 x^{3} + 9$
54219	Find the Inflection Points	7sin(x)+sin(2x)	$7 \sin (x) + \sin (2 x)$
54220	Find the Inflection Points	natural log of x^2-4x+13	$\ln (x^{2} - 4 x + 13)$
54221	Find the Inflection Points	x^3-12x-5	$x^{3} - 12 x - 5$
54222	Find the Inflection Points	5x-4 natural log of x	$5 x - 4 \ln (x)$
54223	Find the Inflection Points	e^(-2.5x^2)	$e^{- 2.5 x^{2}}$
54224	Find the Inflection Points	8x^6-11x^5	$8 x^{6} - 11 x^{5}$
54225	Find the Inflection Points	(3x)/(x^2-4)	$\frac{3 x}{x^{2} - 4}$
54226	Find the Inflection Points	x^4-4x^3+16x-16	$x^{4} - 4 x^{3} + 16 x - 16$
54227	Find the Inflection Points	sin(x)-cos(x)	$\sin (x) - \cos (x)$
54228	Find the Inflection Points	x^3-9x^2-21x+9	$x^{3} - 9 x^{2} - 21 x + 9$
54229	Find the Inflection Points	6x^4-8x^3	$6 x^{4} - 8 x^{3}$
54230	Find the Inflection Points	x^4-5x^2-3	$x^{4} - 5 x^{2} - 3$
54231	Find the Inflection Points	(x^2)/(x^2+27)	$\frac{x^{2}}{x^{2} + 27}$
54232	Find the Inflection Points	x^3-3x^2+24x-22	$x^{3} - 3 x^{2} + 24 x - 22$
54233	Find the Inflection Points	x-2sin(x)	$x - 2 \sin (x)$
54234	Find the Inflection Points	64x^2+54/x-3	$64 x^{2} + \frac{54}{x} - 3$
54235	Find the Inflection Points	cube root of x(x+4)	$\sqrt[3]{x} (x + 4)$
54236	Find the Inflection Points	2cos(x)^2-4sin(x)	$2 \cos^{2} (x) - 4 \sin (x)$
54237	Find the Inflection Points	-4x^3-15x^2+150x+3	$- 4 x^{3} - 15 x^{2} + 150 x + 3$
54238	Find the Inflection Points	5-4x^4	$5 - 4 x^{4}$
54239	Find the Inflection Points	3(x^2-12)^2	$3 {(x^{2} - 12)}^{2}$
54240	Find the Inflection Points	(x^2-11x+32)e^x	$(x^{2} - 11 x + 32) e^{x}$
54241	Find the Inflection Points	x^3-7x^2-24x+2	$x^{3} - 7 x^{2} - 24 x + 2$
54242	Evaluate Using the Given Value	f(-7)=(-7+5)^(2/3)-6	$f (- 7) = {(- 7 + 5)}^{\frac{2}{3}} - 6$
54243	Evaluate Using the Given Value	180-20e^(-0.5t) , t=6	$180 - 20 e^{- 0.5 t}$ , $t = 6$
54244	Evaluate Using the Given Value	4x=16x+2y	$4 x = 16 x + 2 y$
54245	Evaluate Using the Given Value	x^4+2x^2 , a=1	$x^{4} + 2 x^{2}$ , $a = 1$
54246	Evaluate Using the Given Value	f(11)=(107(11))/(3(11)+4)	$f (11) = \frac{107 (11)}{3 (11) + 4}$
54247	Evaluate Using the Given Value	400000/(50+7950e^(-0.5t))t=12.9	$\frac{400000}{50 + 7950 e^{- 0.5 t}} t = 12.9$
54248	Evaluate Using the Given Value	f(1)=70e^(-0.6*1)+30	$f (1) = 70 e^{- 0.6 \cdot 1} + 30$
54249	Find the Perfect Square Trinomial	v^2-4v+	$v^{2} - 4 v +$
54250	Add	square root of 6x^2+x square root of 54	$\sqrt{6 x^{2}} + x \sqrt{54}$
54251	Add	(8x^3-3x^2)+(4x^3+9x^2)	$(8 x^{3} - 3 x^{2}) + (4 x^{3} + 9 x^{2})$
54252	Add	(-t^3+5t^2-6t)+(8t^2-8t)	$(- t^{3} + 5 t^{2} - 6 t) + (8 t^{2} - 8 t)$
54253	Add	(2t^2+3tv-5v^3)+(-8t^2-tv+4v^3)	$(2 t^{2} + 3 t v - 5 v^{3}) + (- 8 t^{2} - t v + 4 v^{3})$
54254	Find the Roots (Zeros)	f(x)=4x^4+3x^3-9x^2-2x+1	$f (x) = 4 x^{4} + 3 x^{3} - 9 x^{2} - 2 x + 1$
54255	Find the Roots (Zeros)	f(x)=x^3-4x^2+x-4	$f (x) = x^{3} - 4 x^{2} + x - 4$
54256	Find the Roots (Zeros)	f(x)=x^3+3x^2+25x+75	$f (x) = x^{3} + 3 x^{2} + 25 x + 75$
54257	Find the Roots (Zeros)	f(x)=6x^3-23x^2+22x-5	$f (x) = 6 x^{3} - 23 x^{2} + 22 x - 5$
54258	Find the Roots (Zeros)	P(x)=x^4+55x^2-576	$P (x) = x^{4} + 55 x^{2} - 576$
54259	Find the Roots (Zeros)	f(x)=x^3-3x^2-9x+20	$f (x) = x^{3} - 3 x^{2} - 9 x + 20$
54260	Find the Roots (Zeros)	f(x)=x^3-43x+42	$f (x) = x^{3} - 43 x + 42$
54261	Find the Roots (Zeros)	f(x)=x^3-x+3	$f (x) = x^{3} - x + 3$
54262	Find the Roots (Zeros)	P(x)=x^4+72x^2-729	$P (x) = x^{4} + 72 x^{2} - 729$
54263	Find the Roots (Zeros)	f(x)=x^3+7x^2-28x-34	$f (x) = x^{3} + 7 x^{2} - 28 x - 34$
54264	Find the Roots (Zeros)	f(x)=x^3-4.5x^2-12x+20	$f (x) = x^{3} - 4.5 x^{2} - 12 x + 20$
54265	Find the Roots (Zeros)	f(x)=15 square root of x-9-2x	$f (x) = 15 \sqrt{x - 9} - 2 x$
54266	Find the Roots (Zeros)	f(x)=x^3+11x^2+23x-35	$f (x) = x^{3} + 11 x^{2} + 23 x - 35$
54267	Find the Roots (Zeros)	f(x)=x^3-4x^2+14x-20	$f (x) = x^{3} - 4 x^{2} + 14 x - 20$
54268	Find the Roots (Zeros)	f(x)=x^3+x-3	$f (x) = x^{3} + x - 3$
54269	Find the Roots (Zeros)	f(x)=x^3+4x^2-5x-14	$f (x) = x^{3} + 4 x^{2} - 5 x - 14$
54270	Find the Roots (Zeros)	f(x)=(x^2-2)(x^2- square root of 5)	$f (x) = (x^{2} - 2) (x^{2} - \sqrt{5})$
54271	Find the Roots (Zeros)	f(x)=3/4x-6	$f (x) = \frac{3}{4} x - 6$
54272	Expand the Logarithmic Expression	natural log of (7y)/(2z)	$\ln (\frac{7 y}{2 z})$
54273	Expand the Logarithmic Expression	log base 9 of 7k	$\log_{9} (7 k)$
54274	Expand the Logarithmic Expression	log of 12/11	$\log (\frac{12}{11})$
54275	Expand the Logarithmic Expression	log of y^9x	$\log (y^{9} x)$
54276	Expand the Logarithmic Expression	log base 5 of cube root of (x^2y)/25	$\log_{5} (\sqrt[3]{\frac{x^{2} y}{25}})$
54277	Expand the Logarithmic Expression	natural log of square root of 10a^3c^9	$\ln (\sqrt{10 a^{3} c^{9}})$
54278	Expand the Logarithmic Expression	log base 2 of (s^5)/(6t^2)	$\log_{2} (\frac{s^{5}}{6 t^{2}})$
54279	Expand the Logarithmic Expression	log base b of z^3x	$\log_{b} (z^{3} x)$
54280	Expand the Logarithmic Expression	log of x(x^2+7)^(-1/2)	$\log (x {(x^{2} + 7)}^{- \frac{1}{2}})$
54281	Expand the Logarithmic Expression	log of y^4 cube root of xz^2	$\log (y^{4} \sqrt[3]{x z^{2}})$
54282	Expand the Logarithmic Expression	natural log of (3y)/(7z)	$\ln (\frac{3 y}{7 z})$
54283	Expand the Logarithmic Expression	log of (z^3)/y	$\log (\frac{z^{3}}{y})$
54284	Expand the Logarithmic Expression	log base 2 of (s^5)/(7t^2)	$\log_{2} (\frac{s^{5}}{7 t^{2}})$
54285	Expand the Logarithmic Expression	log of sixth root of a/b	$\log (\sqrt[6]{\frac{a}{b}})$
54286	Expand the Logarithmic Expression	log base 2 of square root of 3x	$\log_{2} (\sqrt{3} x)$
54287	Expand the Logarithmic Expression	log base 9 of (2x^3)/3	$\log_{9} (\frac{2 x^{3}}{3})$
54288	Expand the Logarithmic Expression	log of y^7 square root of xz^3	$\log (y^{7} \sqrt{x z^{3}})$
54289	Expand the Logarithmic Expression	natural log of square root of 15x^3y^7	$\ln (\sqrt{15 x^{3} y^{7}})$
54290	Expand the Logarithmic Expression	natural log of xy^2z^3	$\ln (x y^{2} z^{3})$
54291	Expand the Logarithmic Expression	log base 2 of (2p)/(9k)	$\log_{2} (\frac{2 p}{9 k})$
54292	Expand the Logarithmic Expression	log base 4 of (a/(b^3))^2	$\log_{4} ({(\frac{a}{b^{3}})}^{2})$
54293	Expand the Logarithmic Expression	natural log of (x^5)/( square root of x(1+x)^4)	$\ln (\frac{x^{5}}{\sqrt{x} {(1 + x)}^{4}})$
54294	Expand the Logarithmic Expression	log base 8 of ((2 square root of x)/5)^3	$\log_{8} ({(\frac{2 \sqrt{x}}{5})}^{3})$
54295	Expand the Logarithmic Expression	log of square root of xy^7z^3	$\log (\sqrt{x y^{7} z^{3}})$
54296	Expand the Logarithmic Expression	log of AB^3	$\log (A B^{3})$
54297	Expand the Logarithmic Expression	log of ( square root of p)/(r^2)	$\log (\frac{\sqrt{p}}{r^{2}})$
54298	Expand the Logarithmic Expression	log base 5 of seventh root of (x^8y)/25	$\log_{5} (\sqrt[7]{\frac{x^{8} y}{25}})$
54299	Expand the Logarithmic Expression	log of square root of t^9	$\log (\sqrt{t^{9}})$
54300	Expand the Logarithmic Expression	log base 3 of y^5	$\log_{3} (y^{5})$