Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
801	Solve for x	sin(4x)=0	$\sin (4 x) = 0$
802	Solve for x	sin(5x)=0	$\sin (5 x) = 0$
803	Find the Asymptotes	y=1/(x-5)	$y = \frac{1}{x - 5}$
804	Find the Asymptotes	y = square root of x	$y = \sqrt{x}$
805	Identify the Zeros and Their Multiplicities	f(x)=x^3-5x^2-4x+20	$f (x) = x^{3} - 5 x^{2} - 4 x + 20$
806	Find the Asymptotes	y=csc(x)	$y = \csc (x)$
807	Find the Other Trig Values in Quadrant IV	cos(x)=12/13	$\cos (x) = \frac{12}{13}$
808	Find the Degree	( square root of 3)/2	$\frac{\sqrt{3}}{2}$
809	Factor	27s^3-125t^3	$27 s^{3} - 125 t^{3}$
810	Factor	2x^4-13x^3+6x^2+64x-32	$2 x^{4} - 13 x^{3} + 6 x^{2} + 64 x - 32$
811	Factor	x^4-2x^3-8x+16	$x^{4} - 2 x^{3} - 8 x + 16$
812	Factor	x^3+4x^2-3x-18	$x^{3} + 4 x^{2} - 3 x - 18$
813	Write as a Function of x	y=\|4-x\|	$y = \| 4 - x \|$
814	Calculate the Square Root	square root of 8	$\sqrt{8}$
815	Write as a Function of ?	x=pi/4	$x = \frac{π}{4}$
816	Solve Using the Quadratic Formula	5x^2=-12x-2	$5 x^{2} = - 12 x - 2$
817	Solve Using the Quadratic Formula	3x^2=8x-7	$3 x^{2} = 8 x - 7$
818	Find the Asymptotes	f(x)=2/(x-4)	$f (x) = \frac{2}{x - 4}$
819	Find the Asymptotes	f(x)=(2x^2)/(x^2-4)	$f (x) = \frac{2 x^{2}}{x^{2} - 4}$
820	Find the Asymptotes	f(x)=(2x^2+1)/(x^2-4)	$f (x) = \frac{2 x^{2} + 1}{x^{2} - 4}$
821	Find the Asymptotes	f(x)=(2x)/(x^2-4)	$f (x) = \frac{2 x}{x^{2} - 4}$
822	Find the Asymptotes	f(x)=(4x^2)/(x^2-1)	$f (x) = \frac{4 x^{2}}{x^{2} - 1}$
823	Find the Asymptotes	f(x)=(x^2-4x)/(x^2-4)	$f (x) = \frac{x^{2} - 4 x}{x^{2} - 4}$
824	Find the Asymptotes	f(x)=(x^2-25)/x	$f (x) = \frac{x^{2} - 25}{x}$
825	Find the Asymptotes	f(x)=(x^2+x-6)/(x^2+3x-10)	$f (x) = \frac{x^{2} + x - 6}{x^{2} + 3 x - 10}$
826	Find the Asymptotes	f(x) = natural log of x	$f (x) = \ln (x)$
827	Find the Asymptotes	f(x) = natural log of x+6	$f (x) = \ln (x + 6)$
828	Find the Asymptotes	f(x)=x/(x^2-1)	$f (x) = \frac{x}{x^{2} - 1}$
829	Find the Asymptotes	f(x)=x/(x^2-16)	$f (x) = \frac{x}{x^{2} - 16}$
830	Find the Asymptotes	f(x)=(4x)/(x^2-4)	$f (x) = \frac{4 x}{x^{2} - 4}$
831	Find the Range	y=cot(x)	$y = \cot (x)$
832	Find the Range	y=tan(x)	$y = \tan (x)$
833	Write in Standard Form	2/(1+i)-3/(1-i)	$\frac{2}{1 + i} - \frac{3}{1 - i}$
834	Write in Standard Form	(5+i)/(5-i)	$\frac{5 + i}{5 - i}$
835	Divide	(x^5-32)/(x-2)	$\frac{x^{5} - 32}{x - 2}$
836	Find the Roots (Zeros)	cos(x)=sin(x)	$\cos (x) = \sin (x)$
837	Find the Roots (Zeros)	f(x)=2x^3-4x^2-26x+52	$f (x) = 2 x^{3} - 4 x^{2} - 26 x + 52$
838	Find the Roots (Zeros)	f(x)=5x^3-x^2-5x+1	$f (x) = 5 x^{3} - x^{2} - 5 x + 1$
839	Find the Roots (Zeros)	f(x)=2x^3-x^2-18x+9	$f (x) = 2 x^{3} - x^{2} - 18 x + 9$
840	Find the x and y Intercepts	6x+2y=12	$6 x + 2 y = 12$
841	Find the x and y Intercepts	y=2x^3-4x^2	$y = 2 x^{3} - 4 x^{2}$
842	Find the x and y Intercepts	y=x square root of 4-x^2	$y = x \sqrt{4 - x^{2}}$
843	Find the x and y Intercepts	y=\|x-6\|	$y = \| x - 6 \|$
844	Find the x and y Intercepts	y=\|3x-7\|	$y = \| 3 x - 7 \|$
845	Convert to Interval Notation	(x-5)(x-2)(x+1)>0	$(x - 5) (x - 2) (x + 1) > 0$
846	Convert to Interval Notation	1/2x-2/3>2	$\frac{1}{2} x - \frac{2}{3} > 2$
847	Determine the Possible Number of Real Roots	f(x)=(x-6)^2(x+2)^2	$f (x) = {(x - 6)}^{2} {(x + 2)}^{2}$
848	Find the Roots/Zeros Using the Rational Roots Test	x^3-2x^2-25x+50	$x^{3} - 2 x^{2} - 25 x + 50$
849	Factor by Grouping	sin(15)	$\sin (15)$
850	Find the Roots (Zeros)	f(x)=x^3-3x^2+4x-2	$f (x) = x^{3} - 3 x^{2} + 4 x - 2$
851	Find the Domain and Range	f(x)=x^3-16x	$f (x) = x^{3} - 16 x$
852	Find the Domain and Range	f(x)=x^2+6x-16	$f (x) = x^{2} + 6 x - 16$
853	Find the Domain and Range	f(x)=x^2+3x+1/4	$f (x) = x^{2} + 3 x + \frac{1}{4}$
854	Find the Domain	square root of x^2-5	$\sqrt{x^{2} - 5}$
855	Find the Domain	g(x)=x/(x^2-5x)	$g (x) = \frac{x}{x^{2} - 5 x}$
856	Find the Domain	f(x)=(8x+12)/(x^2+5x+4)	$f (x) = \frac{8 x + 12}{x^{2} + 5 x + 4}$
857	Find the Domain	( square root of x+6)/(6+x)	$\frac{\sqrt{x + 6}}{6 + x}$
858	Find the Domain	f(x) = square root of 16-x^2	$f (x) = \sqrt{16 - x^{2}}$
859	Find the Domain	g(x)=1-2x^2	$g (x) = 1 - 2 x^{2}$
860	Find the Inverse	f(x)=x/(x-5)	$f (x) = \frac{x}{x - 5}$
861	Find the Inverse	f(x) = square root of 16-x^2	$f (x) = \sqrt{16 - x^{2}}$
862	Solve for ?	sec(theta/2)=cos(theta/2)	$\sec (\frac{θ}{2}) = \cos (\frac{θ}{2})$
863	Find the Inverse	f(x)=x/(x+4)	$f (x) = \frac{x}{x + 4}$
864	Find the Vertex	f(x)=x^2-2x-15	$f (x) = x^{2} - 2 x - 15$
865	Find the Vertex	f(x)=x^2+2x-3	$f (x) = x^{2} + 2 x - 3$
866	Find the Vertex	f(x)=x^2+2x-8	$f (x) = x^{2} + 2 x - 8$
867	Find the Vertex	f(x)=x^2	$f (x) = x^{2}$
868	Find the Vertex	f(x)=2x^2-x+1	$f (x) = 2 x^{2} - x + 1$
869	Find the Vertex	f(x)=(x-5)^2+9	$f (x) = {(x - 5)}^{2} + 9$
870	Find the Difference Quotient	f(x)=1/x	$f (x) = \frac{1}{x}$
871	Solve by Addition/Elimination	-3x+2y=10 , 4x-7y=4	$- 3 x + 2 y = 10$ , $4 x - 7 y = 4$
872	Evaluate Using Summation Formulas	sum from k=1 to 5 of k^2	$\sum_{k = 1}^{5} k^{2}$
873	Evaluate	1/(1-1/3)	$\frac{1}{1 - \frac{1}{3}}$
874	Evaluate	(10^7)/(10^4)	$\frac{10^{7}}{10^{4}}$
875	Evaluate	(4/5)/(3/5)	$\frac{\frac{4}{5}}{\frac{3}{5}}$
876	Evaluate	(7pi)/6-2pi	$\frac{7 π}{6} - 2 π$
877	Evaluate	-19/6p	$- \frac{19}{6} p$
878	Evaluate	2+ square root of 5	$2 + \sqrt{5}$
879	Evaluate	( square root of -7 square root of -49)/( square root of 28)	$\frac{\sqrt{- 7} \sqrt{- 49}}{\sqrt{28}}$
880	Expand Using the Binomial Theorem	(x^2+y^3)^4	${(x^{2} + y^{3})}^{4}$
881	Evaluate	sin(20)	$\sin (20)$
882	Convert to Trigonometric Form	-4-3i	$- 4 - 3 i$
883	Find the Domain and Range	f(x) = log base 4 of 3-2x	$f (x) = \log_{4} (3 - 2 x)$
884	Find the Vertex	y=x^2-5x-6	$y = x^{2} - 5 x - 6$
885	Find the Vertex	y=x^2+6x+9	$y = x^{2} + 6 x + 9$
886	Find the Vertex	y=x^2+4x-5	$y = x^{2} + 4 x - 5$
887	Find the Vertex	x^2=4y	$x^{2} = 4 y$
888	Find the Vertex	y=-7x^2+4	$y = - 7 x^{2} + 4$
889	Find the Behavior (Leading Coefficient Test)	f(x)=-x^2(x+4)(x^2-1)	$f (x) = - x^{2} (x + 4) (x^{2} - 1)$
890	Expand Using the Binomial Theorem	(x-3y)^7	${(x - 3 y)}^{7}$
891	Find the Length	-3i-4j	$- 3 i - 4 j$
892	Simplify	(u^(1/4))/(u^(1/6))	$\frac{u^{\frac{1}{4}}}{u^{\frac{1}{6}}}$
893	Graph	f(x)=x^3-5	$f (x) = x^{3} - 5$
894	Graph	f(x)=-2x^3(x-3)^2(x+5)	$f (x) = - 2 x^{3} {(x - 3)}^{2} (x + 5)$
895	Graph	f(x)=2x^2-x+1	$f (x) = 2 x^{2} - x + 1$
896	Graph	- natural log of x-1+3	$- \ln (x - 1) + 3$
897	Graph	f(x)=(x^2-4)/(x^2-9)	$f (x) = \frac{x^{2} - 4}{x^{2} - 9}$
898	Solve for ?	sin(2theta)=cos(2theta)	$\sin (2 θ) = \cos (2 θ)$
899	Graph	tan(t)>0sin(t)<0	$\tan (t) > 0 \sin (t) < 0$
900	Graph	g(x)=x^3-2	$g (x) = x^{3} - 2$