Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49901	Find the Perfect Square Trinomial	x^2-1/2x	$x^{2} - \frac{1}{2} x$
49902	Add	4x+2x	$4 x + 2 x$
49903	Add	(-4b^2+8b)+(-4b^3+5b^2-8b)	$(- 4 b^{2} + 8 b) + (- 4 b^{3} + 5 b^{2} - 8 b)$
49904	Evaluate Using the Given Value	-(x-3)/(y-5) x=3.8	$- \frac{x - 3}{y - 5}$ $x = 3.8$
49905	Evaluate Using the Given Value	3x^3+4x , a=-3	$3 x^{3} + 4 x$ , $a = - 3$
49906	Evaluate Using the Given Value	cube root of 1+x , a=0	$\sqrt[3]{1 + x}$ , $a = 0$
49907	Evaluate Using the Given Value	f(30)=1700+40(30)-0.6(30)^2	$f (30) = 1700 + 40 (30) - 0.6 {(30)}^{2}$
49908	Evaluate Using the Given Value	1-8 natural log of x ; x=1	$1 - 8 \ln (x)$ ; $x = 1$
49909	Evaluate Using the Given Value	x^3+y^3=32xy ; (16)(16)	$x^{3} + y^{3} = 32 x y$ ; $(16) (16)$
49910	Evaluate Using the Given Value	6p^2+q^2=1 , 300	$6 p^{2} + q^{2} = 1$ , $300$
49911	Evaluate Using the Given Value	f(-4)=1/-4	$f (- 4) = \frac{1}{- 4}$
49912	Evaluate Using the Given Value	x^3+2x^2-7x-7 , a=-6 , b=-1	$x^{3} + 2 x^{2} - 7 x - 7$ , $a = - 6$ , $b = - 1$
49913	Find the Inflection Points	64x^2+128/x+3	$64 x^{2} + \frac{128}{x} + 3$
49914	Find the Inflection Points	x^3-9x^2+23x-15	$x^{3} - 9 x^{2} + 23 x - 15$
49915	Find the Inflection Points	1/2x^4-4x^2+3	$\frac{1}{2} x^{4} - 4 x^{2} + 3$
49916	Find the Inflection Points	7-6x^4	$7 - 6 x^{4}$
49917	Find the Inflection Points	x^3-9x^2+28x-30	$x^{3} - 9 x^{2} + 28 x - 30$
49918	Find the Inflection Points	5-4x-x^3	$5 - 4 x - x^{3}$
49919	Find the Inflection Points	-x^4-2x^3+12x^2	$- x^{4} - 2 x^{3} + 12 x^{2}$
49920	Find the Inflection Points	4-3x^4	$4 - 3 x^{4}$
49921	Find the Inflection Points	(x^2)/(x^2+48)	$\frac{x^{2}}{x^{2} + 48}$
49922	Find the Inflection Points	(x+4)/(x^2-3x-28)	$\frac{x + 4}{x^{2} - 3 x - 28}$
49923	Find the Inflection Points	19x+19e^x	$19 x + 19 e^{x}$
49924	Find the Inflection Points	x^3-27x+7	$x^{3} - 27 x + 7$
49925	Find the Inflection Points	x+sin(2x)+1	$x + \sin (2 x) + 1$
49926	Find the Roots (Zeros)	f(x)=tan((pix)/2)	$f (x) = \tan (\frac{π x}{2})$
49927	Find the Roots (Zeros)	f(x)=x^4-8x^3+7x^2+42x+26	$f (x) = x^{4} - 8 x^{3} + 7 x^{2} + 42 x + 26$
49928	Find the Roots (Zeros)	f(x)=x^3-5x^2+2x+8	$f (x) = x^{3} - 5 x^{2} + 2 x + 8$
49929	Find the Roots (Zeros)	f(x)=2x^3-3x^2-32x-15	$f (x) = 2 x^{3} - 3 x^{2} - 32 x - 15$
49930	Find the Roots (Zeros)	f(x)=x^4-81	$f (x) = x^{4} - 81$
49931	Find the Roots (Zeros)	f(x)=x^3-2x^2-11x+52	$f (x) = x^{3} - 2 x^{2} - 11 x + 52$
49932	Expand the Logarithmic Expression	log of 4x^3y^4	$\log (4 x^{3} y^{4})$
49933	Expand the Logarithmic Expression	log base b of x^6y^6z	$\log_{b} (x^{6} y^{6} z)$
49934	Expand the Logarithmic Expression	log base 2 of theta^2	$\log_{2} (θ^{2})$
49935	Expand the Logarithmic Expression	log base 4 of (4p)/(5k)	$\log_{4} (\frac{4 p}{5 k})$
49936	Expand the Logarithmic Expression	log base 8 of seventh root of (a^2b)/64	$\log_{8} (\sqrt[7]{\frac{a^{2} b}{64}})$
49937	Expand the Logarithmic Expression	natural log of (x^4)/( square root of x(1+x)^5)	$\ln (\frac{x^{4}}{\sqrt{x} {(1 + x)}^{5}})$
49938	Expand the Logarithmic Expression	natural log of (6y)/(7z)	$\ln (\frac{6 y}{7 z})$
49939	Expand the Logarithmic Expression	log base 5 of 25x^2	$\log_{5} (25 x^{2})$
49940	Expand the Logarithmic Expression	log base 7 of (7p)/(3k)	$\log_{7} (\frac{7 p}{3 k})$
49941	Expand the Logarithmic Expression	natural log of cube root of y-3	$\ln (\sqrt[3]{y - 3})$
49942	Expand the Logarithmic Expression	log of (4x)/y	$\log (\frac{4 x}{y})$
49943	Expand the Logarithmic Expression	log of (z^4)/x	$\log (\frac{z^{4}}{x})$
49944	Expand the Logarithmic Expression	log of square root of a^5b	$\log (\sqrt{a^{5} b})$
49945	Expand the Logarithmic Expression	log of z^4x	$\log (z^{4} x)$
49946	Expand the Logarithmic Expression	log of ( square root of x)/(10y^4)	$\log (\frac{\sqrt{x}}{10 y^{4}})$
49947	Expand the Logarithmic Expression	log base 5 of (3p)/(5k)	$\log_{5} (\frac{3 p}{5 k})$
49948	Expand the Logarithmic Expression	log base 5 of (5p)/(12k)	$\log_{5} (\frac{5 p}{12 k})$
49949	Expand the Logarithmic Expression	log base 7 of (7p)/(6k)	$\log_{7} (\frac{7 p}{6 k})$
49950	Expand the Logarithmic Expression	log base 4 of 5x^3y^4	$\log_{4} (5 x^{3} y^{4})$
49951	Expand the Logarithmic Expression	log of square root of c^3d	$\log (\sqrt{c^{3} d})$
49952	Expand the Logarithmic Expression	natural log of (zy)/x	$\ln (\frac{z y}{x})$
49953	Find the Local Maxima and Minima	g(x)=-9/(x^2+3)	$g (x) = \frac{- 9}{x^{2} + 3}$
49954	Find the Local Maxima and Minima	f(x)=8x-4x natural log of x	$f (x) = 8 x - 4 x \ln (x)$
49955	Find the Local Maxima and Minima	f(x)=10e^(-x)	$f (x) = 10 e^{- x}$
49956	Find the Local Maxima and Minima	f(x)=x^3-3x-6	$f (x) = x^{3} - 3 x - 6$
49957	Find the Local Maxima and Minima	f(x)=x^3-27x+56	$f (x) = x^{3} - 27 x + 56$
49958	Find the Local Maxima and Minima	f(x)=\|7-x^2\|	$f (x) = \| 7 - x^{2} \|$
49959	Find the Local Maxima and Minima	h(t)=-t^2+2t+2	$h (t) = - t^{2} + 2 t + 2$
49960	Find the Local Maxima and Minima	f(x)=8x+11x^(8/11)	$f (x) = 8 x + 11 x^{\frac{8}{11}}$
49961	Find the Local Maxima and Minima	R(t)=(24t)/(t^2+144)	$R (t) = \frac{24 t}{t^{2} + 144}$
49962	Find the Local Maxima and Minima	h(t)=t/(t-8)	$h (t) = \frac{t}{t - 8}$
49963	Find the Local Maxima and Minima	f(x)=9-2x^2	$f (x) = 9 - 2 x^{2}$
49964	Find the Local Maxima and Minima	f(x)=x^2+440/x	$f (x) = x^{2} + \frac{440}{x}$
49965	Find the Local Maxima and Minima	f(x)=9x^2-18x-216	$f (x) = 9 x^{2} - 18 x - 216$
49966	Find the Local Maxima and Minima	f(x)=x^2e^x-4	$f (x) = x^{2} e^{x} - 4$
49967	Find the Local Maxima and Minima	f(x) = cube root of \|25-x^2\|+6	$f (x) = \sqrt[3]{\| 25 - x^{2} \|} + 6$
49968	Find the Local Maxima and Minima	f(x)=x^3-9x^2-21x+3	$f (x) = x^{3} - 9 x^{2} - 21 x + 3$
49969	Find the Local Maxima and Minima	f(x)=(x+1)^5-5x-2	$f (x) = {(x + 1)}^{5} - 5 x - 2$
49970	Find the Local Maxima and Minima	f(x)=x^2+200/x	$f (x) = x^{2} + \frac{200}{x}$
49971	Find the Local Maxima and Minima	g(x)=(50x)/(x^2+25)	$g (x) = \frac{50 x}{x^{2} + 25}$
49972	Find the Local Maxima and Minima	f(x)=x^(1/3)+1	$f (x) = x^{\frac{1}{3}} + 1$
49973	Find the Local Maxima and Minima	f(x)=x^4-10x^3-84x^2+117	$f (x) = x^{4} - 10 x^{3} - 84 x^{2} + 117$
49974	Find the Local Maxima and Minima	g(x)=x^8-4x^6	$g (x) = x^{8} - 4 x^{6}$
49975	Find the Local Maxima and Minima	f(x)=4/3x^3-2x^2+x	$f (x) = \frac{4}{3} x^{3} - 2 x^{2} + x$
49976	Find the Local Maxima and Minima	g(x)=x^2-4x-12	$g (x) = x^{2} - 4 x - 12$
49977	Find the Local Maxima and Minima	f(x)=(x-1)^(4/3)	$f (x) = {(x - 1)}^{\frac{4}{3}}$
49978	Find the Local Maxima and Minima	f(x)=10x^2-100x-7	$f (x) = 10 x^{2} - 100 x - 7$
49979	Find the Local Maxima and Minima	f(x)=x^3-9x^2-21x+7	$f (x) = x^{3} - 9 x^{2} - 21 x + 7$
49980	Find the Local Maxima and Minima	f(x)=-x^6-3x^5+37x^4+50x^3-300x^2-600x+10000	$f (x) = - x^{6} - 3 x^{5} + 37 x^{4} + 50 x^{3} - 300 x^{2} - 600 x + 10000$
49981	Find the Local Maxima and Minima	f(x)=5/3x^3-15x	$f (x) = \frac{5}{3} x^{3} - 15 x$
49982	Find the Local Maxima and Minima	f(x)=x^3-75x+8	$f (x) = x^{3} - 75 x + 8$
49983	Find the Local Maxima and Minima	f(x)=8x^3-51x^2-90x+8	$f (x) = 8 x^{3} - 51 x^{2} - 90 x + 8$
49984	Find the Local Maxima and Minima	f(x)=x^4-8x^2-10	$f (x) = x^{4} - 8 x^{2} - 10$
49985	Find the Local Maxima and Minima	f(x)=x^2(2-4x)^3	$f (x) = x^{2} {(2 - 4 x)}^{3}$
49986	Find the Local Maxima and Minima	f(x)=1/2x^4-4x^2+4	$f (x) = \frac{1}{2} x^{4} - 4 x^{2} + 4$
49987	Find the Local Maxima and Minima	f(x)=6x^5-5x^6	$f (x) = 6 x^{5} - 5 x^{6}$
49988	Find the Local Maxima and Minima	f(x)=1/3x^3-2x^2+4x-5	$f (x) = \frac{1}{3} x^{3} - 2 x^{2} + 4 x - 5$
49989	Find the Local Maxima and Minima	f(x)=-8x^3+7x^2+3x-1	$f (x) = - 8 x^{3} + 7 x^{2} + 3 x - 1$
49990	Find the Tangent at a Given Point Using the Limit Definition	y=2x^2-4x , (-1,6)	$y = 2 x^{2} - 4 x$ , $(- 1, 6)$
49991	Find the Tangent at a Given Point Using the Limit Definition	y = square root of x , (9,3)	$y = \sqrt{x}$ , $(9, 3)$
49992	Find Where Undefined/Discontinuous	f(x)=(x^3-8)/(x^2-4)	$f (x) = \frac{x^{3} - 8}{x^{2} - 4}$
49993	Find Where Undefined/Discontinuous	f(x)=(-3x)/((7x-2)(2-4x))	$f (x) = \frac{- 3 x}{(7 x - 2) (2 - 4 x)}$
49994	Find Where Undefined/Discontinuous	f(x)=(4+x)/(x-5)	$f (x) = \frac{4 + x}{x - 5}$
49995	Find Where Undefined/Discontinuous	f(x)=(x^2-2x-15)/(x-5)	$f (x) = \frac{x^{2} - 2 x - 15}{x - 5}$
49996	Expand the Trigonometric Expression	(x-y)^3	${(x - y)}^{3}$
49997	Expand the Trigonometric Expression	(1-cos(x)^2)^3	${(1 - \cos^{2} (x))}^{3}$
49998	Expand the Trigonometric Expression	(1-u^2)^3	${(1 - u^{2})}^{3}$
49999	Expand the Trigonometric Expression	(4-z^2)(z^3-z+1)	$(4 - z^{2}) (z^{3} - z + 1)$
50000	Find @FORMULA	f(x) = square root of 2x+3	$f (x) = \sqrt{2 x + 3}$