Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
43301	Convert to Interval Notation	x^2-x-12>=0	$x^{2} - x - 12 \geq 0$
43302	Convert to Interval Notation	(x-4)/(x+11)>=1/(x-1)	$\frac{x - 4}{x + 11} \geq \frac{1}{x - 1}$
43303	Convert to Interval Notation	\|2x+6\|<4	$\| 2 x + 6 \| < 4$
43304	Convert to Interval Notation	\|2x+3\|>=7	$\| 2 x + 3 \| \geq 7$
43305	Convert to Interval Notation	(x+7)/(x-3)<0	$\frac{x + 7}{x - 3} < 0$
43306	Convert to Interval Notation	(x+8)/(x-5)>0	$\frac{x + 8}{x - 5} > 0$
43307	Convert to Interval Notation	(x+7)^2(x-9)<0	${(x + 7)}^{2} (x - 9) < 0$
43308	Convert to Interval Notation	(x-1)/(x-2)<=0	$\frac{x - 1}{x - 2} \leq 0$
43309	Convert to Interval Notation	(x-3)(x-4)(x-7)<=0	$(x - 3) (x - 4) (x - 7) \leq 0$
43310	Convert to Interval Notation	(x-3)^2(x+4)>0	${(x - 3)}^{2} (x + 4) > 0$
43311	Convert to Interval Notation	(x^2+5x)/(x^2-36)<=0	$\frac{x^{2} + 5 x}{x^{2} - 36} \leq 0$
43312	Convert to Interval Notation	(x+6)(x^2-16)(1-x)<0	$(x + 6) (x^{2} - 16) (1 - x) < 0$
43313	Convert to Interval Notation	(x+6)(x^2+16)(1-x)<0	$(x + 6) (x^{2} + 16) (1 - x) < 0$
43314	Convert to Interval Notation	(6x-5)/(x+1)<=5	$\frac{6 x - 5}{x + 1} \leq 5$
43315	Convert to Interval Notation	(3x-4)/(x+5)<=2	$\frac{3 x - 4}{x + 5} \leq 2$
43316	Factor over the Complex Numbers	cos(arctan(w))	$\cos (\arctan (w))$
43317	Factor over the Complex Numbers	7e^((5pi)/6i)	$7 e^{\frac{5 π}{6} i}$
43318	Find the Domain	(x^2)/(x-2)	$\frac{x^{2}}{x - 2}$
43319	Find the Domain	1/( square root of 2x-1)+3/(x^2-4)	$\frac{1}{\sqrt{2 x - 1}} + \frac{3}{x^{2} - 4}$
43320	Find the Domain	log of x^2-9	$\log (x^{2} - 9)$
43321	Find the Domain	natural log of x^2-4	$\ln (x^{2} - 4)$
43322	Find the Domain	log base 2 of 9-2x	$\log_{2} (9 - 2 x)$
43323	Find the Domain	(x^2+x-110)/(x^2-x-90)	$\frac{x^{2} + x - 110}{x^{2} - x - 90}$
43324	Find the Domain	square root of x^4-16	$\sqrt{x^{4} - 16}$
43325	Identify the Zeros and Their Multiplicities	p(x)=x^3+2x^2-4x-8	$p (x) = x^{3} + 2 x^{2} - 4 x - 8$
43326	Solve the Triangle	A=80 degrees , a=24 , b=50	$A = 80 °$ , $a = 24$ , $b = 50$
43327	Find the Tangent Given the Point	(-1/3,(2 square root of 2)/3)	$(- \frac{1}{3}, \frac{2 \sqrt{2}}{3})$
43328	Solve by Factoring	cos(x)^3+cos(x)sin(x)^2	$\cos^{3} (x) + \cos (x) \sin^{2} (x)$
43329	Solve by Factoring	e^(2x)-3e^x+2=0	$e^{2 x} - 3 e^{x} + 2 = 0$
43330	Convert to a Simplified Fraction	square root of 37	$\sqrt{37}$
43331	Convert to a Simplified Fraction	square root of 39	$\sqrt{39}$
43332	Convert to a Simplified Fraction	square root of 53	$\sqrt{53}$
43333	Convert to a Simplified Fraction	square root of 98	$\sqrt{98}$
43334	Convert to a Simplified Fraction	square root of 105	$\sqrt{105}$
43335	Convert to a Simplified Fraction	square root of 169	$\sqrt{169}$
43336	Convert to a Simplified Fraction	square root of 19	$\sqrt{19}$
43337	Convert to a Simplified Fraction	square root of 30	$\sqrt{30}$
43338	Write in Standard Form	(1+i)(1-i)	$(1 + i) (1 - i)$
43339	Write in Standard Form	(1-i)^5	${(1 - i)}^{5}$
43340	Write in Standard Form	(-1-i)^7	${(- 1 - i)}^{7}$
43341	Convert to a Simplified Fraction	5.2151515	$5.2151515$
43342	Convert to a Simplified Fraction	2.14450692	$2.14450692$
43343	Write in Standard Form	7i	$7 i$
43344	Write in Standard Form	5-7i	$5 - 7 i$
43345	Write in Standard Form	3+3i square root of 3	$3 + 3 i \sqrt{3}$
43346	Write in Standard Form	10+6i	$10 + 6 i$
43347	Write in Standard Form	2+2 square root of 3i	$2 + 2 \sqrt{3} i$
43348	Solve by Addition/Elimination	4x-2y=536x-18y=45	$4 x - 2 y = 536 x - 18 y = 45$
43349	Solve by Addition/Elimination	10x+5y=-53x-2y=-12	$10 x + 5 y = - 53 x - 2 y = - 12$
43350	Expand Using Pascal's Triangle	(2x+5y)^5	${(2 x + 5 y)}^{5}$
43351	Expand Using Pascal's Triangle	(2x-3)^6	${(2 x - 3)}^{6}$
43352	Expand Using Pascal's Triangle	(2x+4y)^5	${(2 x + 4 y)}^{5}$
43353	Expand Using Pascal's Triangle	(2x+5)^4	${(2 x + 5)}^{4}$
43354	Expand Using Pascal's Triangle	(2x-y)^3	${(2 x - y)}^{3}$
43355	Expand Using Pascal's Triangle	(a- square root of 2)^8	${(a - \sqrt{2})}^{8}$
43356	Expand Using Pascal's Triangle	(p+q)^5	${(p + q)}^{5}$
43357	Expand Using Pascal's Triangle	(x+2)^7	${(x + 2)}^{7}$
43358	Expand Using Pascal's Triangle	(x+3y)^4	${(x + 3 y)}^{4}$
43359	Expand Using Pascal's Triangle	(x+y)^14	${(x + y)}^{14}$
43360	Find the Derivative Using Product Rule - d/dx	y=(-2x^4+5x^2+4)(-3x^2+2)	$y = (- 2 x^{4} + 5 x^{2} + 4) (- 3 x^{2} + 2)$
43361	Evaluate the Function	f(5)=2x+\|3-x\|	$f (5) = 2 x + \| 3 - x \|$
43362	Evaluate the Function	f(x)=19e^x+7x ; x=0	$f (x) = 19 e^{x} + 7 x$ ; $x = 0$
43363	Evaluate the Function	f(x)=7x+8 ; x=5	$f (x) = 7 x + 8$ ; $x = 5$
43364	Find the Trig Value	tan(theta)=-12/5	$\tan (θ) = - \frac{12}{5}$
43365	Find the Trig Value	tan(theta)=5/12	$\tan (θ) = \frac{5}{12}$
43366	Find the Trig Value	sin(theta)=-1/5	$\sin (θ) = - \frac{1}{5}$
43367	Find the Trig Value	sin(50 degrees )cos(170 degrees )-cos(50 degrees )sin(170 degrees )	$\sin (50 °) \cos (170 °) - \cos (50 °) \sin (170 °)$
43368	Find the Trig Value	sin(theta)=7/25	$\sin (θ) = \frac{7}{25}$
43369	Find the Trig Value	sin(90 degrees -theta)	$\sin (90 ° - θ)$
43370	Find the Trig Value	cos(theta)=8/17	$\cos (θ) = \frac{8}{17}$
43371	Find the Trig Value	sin(theta)=2/5	$\sin (θ) = \frac{2}{5}$
43372	Find the Trig Value	cot(theta)=4/3	$\cot (θ) = \frac{4}{3}$
43373	Find the Trig Value	sin(t)=7/10	$\sin (t) = \frac{7}{10}$
43374	Find the Trig Value	tan(2theta)	$\tan (2 θ)$
43375	Find Trig Functions Using Identities	sin(theta)=1/4 , cos(theta)=( square root of 15)/4	$\sin (θ) = \frac{1}{4}$ , $\cos (θ) = \frac{\sqrt{15}}{4}$
43376	Find Trig Functions Using Identities	sin(theta)=7/25	$\sin (θ) = \frac{7}{25}$
43377	Find Trig Functions Using Identities	sin((5pi)/12)	$\sin (\frac{5 π}{12})$
43378	Determine if Rational	square root of 65	$\sqrt{65}$
43379	Find the Determinant	[[0,1],[0,12]]	$[\begin{array}{c} 0 & 1 \\ 0 & 12 \end{array}]$
43380	Find the Determinant	[[1,0,1],[0,1,0],[1,0,0]]	$[\begin{array}{c} 1 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \end{array}]$
43381	Find the Determinant	[[100,0],[0,0]]	$[\begin{array}{c} 100 & 0 \\ 0 & 0 \end{array}]$
43382	Find the Determinant	[[5,-1,9],[3,4,-6],[-5,7,-1]]	$[\begin{array}{c} 5 & - 1 & 9 \\ 3 & 4 & - 6 \\ - 5 & 7 & - 1 \end{array}]$
43383	Find the Next Term	1/18 , 2/19 , 3/20 , 4/21	$\frac{1}{18}$ , $\frac{2}{19}$ , $\frac{3}{20}$ , $\frac{4}{21}$
43384	Write in Standard Form	y^2-9x^2+2y-18x-17=0	$y^{2} - 9 x^{2} + 2 y - 18 x - 17 = 0$
43385	Write in Standard Form	y^2=3x	$y^{2} = 3 x$
43386	Write in Standard Form	x^2-y^2-6x-6y-1=0	$x^{2} - y^{2} - 6 x - 6 y - 1 = 0$
43387	Write in Standard Form	x=-(y-4)^2+3	$x = - {(y - 4)}^{2} + 3$
43388	Write in Standard Form	x=-2(y-5)^2-5	$x = - 2 {(y - 5)}^{2} - 5$
43389	Write in Standard Form	y^2-5x-4y-1=0	$y^{2} - 5 x - 4 y - 1 = 0$
43390	Write in Standard Form	y=-1/4x^2+3x+6	$y = - \frac{1}{4} x^{2} + 3 x + 6$
43391	Write in Standard Form	y=-1/8	$y = - \frac{1}{8}$
43392	Write in Standard Form	y^2-4y+4=x-7	$y^{2} - 4 y + 4 = x - 7$
43393	Write in Standard Form	y^2-2x+14y+37=0	$y^{2} - 2 x + 14 y + 37 = 0$
43394	Write in Standard Form	y^2-12y+4x+36=0	$y^{2} - 12 y + 4 x + 36 = 0$
43395	Write in Standard Form	y^2-2x+6y+7=0	$y^{2} - 2 x + 6 y + 7 = 0$
43396	Write in Standard Form	x^2-6x+y^2+5=0	$x^{2} - 6 x + y^{2} + 5 = 0$
43397	Write in Standard Form	x^2-4y^2+4x-24y-36=0	$x^{2} - 4 y^{2} + 4 x - 24 y - 36 = 0$
43398	Write in Standard Form	x^2-6x+y^2-32y=0	$x^{2} - 6 x + y^{2} - 32 y = 0$
43399	Write in Standard Form	x^2-8x+y^2+7=0	$x^{2} - 8 x + y^{2} + 7 = 0$
43400	Write in Standard Form	x^2-y^2-4x-12y-33=0	$x^{2} - y^{2} - 4 x - 12 y - 33 = 0$