Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48201	Find the Domain and Range	5x-1	$5 x - 1$
48202	Find the Domain and Range	square root of 32+x	$\sqrt{32 + x}$
48203	Evaluate the Function	h(4)=(s^(-1/2)+2s)(7-s^-1)	$h (4) = (s^{- \frac{1}{2}} + 2 s) (7 - s^{- 1})$
48204	Evaluate the Function	f(-1)=1/( square root of 2pi)e^(-(1/2)x^2)	$f (- 1) = \frac{1}{\sqrt{2 π}} e^{- (\frac{1}{2}) x^{2}}$
48205	Evaluate the Function	f(0)=10e^x+11x	$f (0) = 10 e^{x} + 11 x$
48206	Evaluate the Function	f(x)=x^4+2x-5 , x_0=-1	$f (x) = x^{4} + 2 x - 5$ , $x_{0} = - 1$
48207	Evaluate the Function	f(5/2)=3^x	$f (\frac{5}{2}) = 3^{x}$
48208	Evaluate the Function	f(5- square root of 5)=1/3x^3-5x^2+20x	$f (5 - \sqrt{5}) = \frac{1}{3} x^{3} - 5 x^{2} + 20 x$
48209	Evaluate the Function	f(7)=x^3-6x^2	$f (7) = x^{3} - 6 x^{2}$
48210	Evaluate the Function	f(x)=(x-3A)/(3x+5) , f(3)=6	$f (x) = \frac{x - 3 A}{3 x + 5}$ , $f (3) = 6$
48211	Evaluate the Function	f( square root of 3)=20x^4-120x^2	$f (\sqrt{3}) = 20 x^{4} - 120 x^{2}$
48212	Evaluate the Function	f(4)=3x^4-20x^3+42x^2-36x	$f (4) = 3 x^{4} - 20 x^{3} + 42 x^{2} - 36 x$
48213	Evaluate the Function	f(x)=(1)^3-3*1	$f (x) = {(1)}^{3} - 3 \cdot 1$
48214	Evaluate the Function	f(5)=(x^2-4x-5)/(x-5)	$f (5) = \frac{x^{2} - 4 x - 5}{x - 5}$
48215	Evaluate the Function	f(2) = square root of x-2	$f (2) = \sqrt{x - 2}$
48216	Evaluate the Function	f(26)=3^((26-x)-14)	$f (26) = 3^{(26 - x) - 14}$
48217	Evaluate the Function	f(x)=1/((-1.99)^2-4)	$f (x) = \frac{1}{{(- 1.99)}^{2} - 4}$
48218	Evaluate the Function	f(3)=(x^2-4x+3)/(x-3)	$f (3) = \frac{x^{2} - 4 x + 3}{x - 3}$
48219	Evaluate the Function	f(2x)=(2x)^3-4(2x)	$f (2 x) = {(2 x)}^{3} - 4 (2 x)$
48220	Evaluate the Function	f(38)=700-10x	$f (38) = 700 - 10 x$
48221	Evaluate the Function	f(4)=8x^2-11x	$f (4) = 8 x^{2} - 11 x$
48222	Evaluate the Function	f(1)=2x-1	$f (1) = 2 x - 1$
48223	Evaluate the Function	f(40)=700-10x	$f (40) = 700 - 10 x$
48224	Evaluate the Function	f(x)=2(2)^3-24*2	$f (x) = 2 {(2)}^{3} - 24 \cdot 2$
48225	Evaluate the Function	f(1/x)=(\|x\|)/x	$f (\frac{1}{x}) = \frac{\| x \|}{x}$
48226	Evaluate the Function	f(5)=2x^3	$f (5) = 2 x^{3}$
48227	Evaluate the Function	f(-1)=(4x+5)^6	$f (- 1) = {(4 x + 5)}^{6}$
48228	Evaluate the Function	f(4)=t^3-15t^2+72t	$f (4) = t^{3} - 15 t^{2} + 72 t$
48229	Evaluate the Function	f(4)=x^3-3y^2+xy^3	$f (4) = x^{3} - 3 y^{2} + x y^{3}$
48230	Find the Trig Value	cos(theta)=2/5	$\cos (θ) = \frac{2}{5}$
48231	Find the Derivative Using Product Rule - d/d@VAR	p(y)=(y^-1+y^-2)(2y^-3-9y^-4)	$p (y) = (y^{- 1} + y^{- 2}) (2 y^{- 3} - 9 y^{- 4})$
48232	Find the Derivative Using Product Rule - d/d@VAR	k(t)=(t^2-2)^2	$k (t) = {(t^{2} - 2)}^{2}$
48233	Evaluate the Function	f(x)=3x-2 , x=9	$f (x) = 3 x - 2$ , $x = 9$
48234	Identify the Zeros and Their Multiplicities	x^3-4x^2-x+4	$x^{3} - 4 x^{2} - x + 4$
48235	Find the Critical Points	g(theta)=24theta-6tan(theta)	$g (θ) = 24 θ - 6 \tan (θ)$
48236	Find the Critical Points	g(theta)=4theta-tan(theta)	$g (θ) = 4 θ - \tan (θ)$
48237	Find the Critical Points	y=2x^3-12x^2+7	$y = 2 x^{3} - 12 x^{2} + 7$
48238	Find the Critical Points	y=2x^5+5x^4-11	$y = 2 x^{5} + 5 x^{4} - 11$
48239	Find the Critical Points	y=3x^2-27	$y = 3 x^{2} - 27$
48240	Find the Critical Points	y=2x^5+5x^4-18	$y = 2 x^{5} + 5 x^{4} - 18$
48241	Find the Critical Points	y=x^4-2x^3	$y = x^{4} - 2 x^{3}$
48242	Find the Vertex	y=4x^2-8x+9	$y = 4 x^{2} - 8 x + 9$
48243	Find the Vertex	x^2-4x+8y-20=0	$x^{2} - 4 x + 8 y - 20 = 0$
48244	Find dx/dy at (0,p/2)	sin(2y)=x ; (0,pi/2)	$\sin (2 y) = x$ ; $(0, \frac{π}{2})$
48245	Find dy/dx at (-2,3)	x^3+y^3=19 , (-2,3)	$x^{3} + y^{3} = 19$ , $(- 2, 3)$
48246	Find dy/dx at (1,5)	x^2-y^2=-24 (1,5)	$x^{2} - y^{2} = - 24$ $(1, 5)$
48247	Find dy/dx at (1,1)	9x^2+xy+9y^2=19 , (1,1)	$9 x^{2} + x y + 9 y^{2} = 19$ , $(1, 1)$
48248	Find dy/dx at (-3,2)	y^4-4y^2=x^4-9x^2 , (-3,2)	$y^{4} - 4 y^{2} = x^{4} - 9 x^{2}$ , $(- 3, 2)$
48249	Find Where the Mean Value Theorem is Satisfied	f(x) = square root of 5-x , [-11,5]	$f (x) = \sqrt{5 - x}$ , $[- 11, 5]$
48250	Find Where the Mean Value Theorem is Satisfied	f(x) = square root of x , [0,25]	$f (x) = \sqrt{x}$ , $[0, 25]$
48251	Find Where the Mean Value Theorem is Satisfied	f(x)=8x^3 , [1,2]	$f (x) = 8 x^{3}$ , $[1, 2]$
48252	Find Where the Mean Value Theorem is Satisfied	f(x)=7x^3 , [1,2]	$f (x) = 7 x^{3}$ , $[1, 2]$
48253	Find the Antiderivative	f(x)=13x^12	$f (x) = 13 x^{12}$
48254	Find the Antiderivative	f(x)=4+5x^3	$f (x) = 4 + 5 x^{3}$
48255	Find the Antiderivative	h(t)=(2t)/(t^2-1)	$h (t) = \frac{2 t}{t^{2} - 1}$
48256	Find the Antiderivative	g(y)=2-32y^3	$g (y) = 2 - 32 y^{3}$
48257	Find the Antiderivative	g(y)=2y+2	$g (y) = 2 y + 2$
48258	Find the Antiderivative	f(x)=8x^9-3x^6+12x^3	$f (x) = 8 x^{9} - 3 x^{6} + 12 x^{3}$
48259	Find the Axis of Symmetry	f(x)=x^2-12x+32	$f (x) = x^{2} - 12 x + 32$
48260	Find the Axis of Symmetry	f(x)=x^2-10x+24	$f (x) = x^{2} - 10 x + 24$
48261	Determine if Continuous	f(x)=(x+6)/( square root of x)	$f (x) = \frac{x + 6}{\sqrt{x}}$
48262	Determine if Continuous	h(x)=(x^2+7)/(x^2+x-6)	$h (x) = \frac{x^{2} + 7}{x^{2} + x - 6}$
48263	Find the Vertices	9x^2-18x+4y^2=27	$9 x^{2} - 18 x + 4 y^{2} = 27$
48264	Convert from Radians to Degrees	arctan(73.7/39.4)	$\arctan (\frac{73.7}{39.4})$
48265	Convert from Radians to Degrees	arctan(infinity)	$\arctan (\infty)$
48266	Convert from Radians to Degrees	arctan(-2)	$\arctan (- 2)$
48267	Convert from Radians to Degrees	arccsc(2)	$\csc^{-1} (2)$
48268	Convert from Radians to Degrees	arcsec(- square root of 2)	$\sec^{-1} (- \sqrt{2})$
48269	Convert from Radians to Degrees	arcsec(6)	$\sec^{-1} (6)$
48270	Convert from Radians to Degrees	arccos(1/( square root of 2))	$\arccos (\frac{1}{\sqrt{2}})$
48271	Convert from Radians to Degrees	arccsc((2 square root of 3)/3)	$\csc^{-1} (\frac{2 \sqrt{3}}{3})$
48272	Convert from Radians to Degrees	arcsec((2 square root of 3)/3)	$\sec^{-1} (\frac{2 \sqrt{3}}{3})$
48273	Divide	84/3	$\frac{84}{3}$
48274	Divide	2÷(1/3)	$2 \div \frac{1}{3}$
48275	Divide	180÷5	$180 \div 5$
48276	Divide	105÷3	$105 \div 3$
48277	Divide	20/6	$\frac{20}{6}$
48278	Divide	-54/6	$- \frac{54}{6}$
48279	Divide	168/12	$\frac{168}{12}$
48280	Divide	196/2	$\frac{196}{2}$
48281	Divide	315/5	$\frac{315}{5}$
48282	Divide	(1/5)÷4	$\frac{1}{5} \div 4$
48283	Divide	96/32	$\frac{96}{32}$
48284	Divide	20/8	$\frac{20}{8}$
48285	Divide	90/18	$\frac{90}{18}$
48286	Divide	1÷infinity	$1 \div \infty$
48287	Divide	95/5	$\frac{95}{5}$
48288	Divide	21/6	$\frac{21}{6}$
48289	Divide	-14/2	$- \frac{14}{2}$
48290	Divide	63÷3	$63 \div 3$
48291	Divide	3÷10	$3 \div 10$
48292	Divide	0.06/4	$\frac{0.06}{4}$
48293	Divide	60/9	$\frac{60}{9}$
48294	Divide	64/5	$\frac{64}{5}$
48295	Divide	54/4	$\frac{54}{4}$
48296	Divide	(5pi)/6	$\frac{5 π}{6}$
48297	Divide	4.25/0.5	$\frac{4.25}{0.5}$
48298	Divide	1.1/2	$\frac{1.1}{2}$
48299	Divide	8/10	$\frac{8}{10}$
48300	Divide	96÷12	$96 \div 12$