Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
401	Find the Domain	x+y=-3	$x + y = - 3$ $x + y = - 3$
402	Find the Domain	x+y=0	$x + y = 0$ $x + y = 0$
403	Find the Domain	x+y=1	$x + y = 1$ $x + y = 1$
404	Find the Domain	x+y=2	$x + y = 2$ $x + y = 2$
405	Find the Domain	x+2y=6	$x + 2 y = 6$ $x + 2 y = 6$
406	Find the Domain	-x+4y=4	$- x + 4 y = 4$ $- x + 4 y = 4$
407	Find the Domain	x+y=9	$x + y = 9$ $x + y = 9$
408	Find the Domain	x=y	$x = y$ $x = y$
409	Find the Domain	x-2y=3	$x - 2 y = 3$ $x - 2 y = 3$
410	Find the Domain	x=3y	$x = 3 y$ $x = 3 y$
411	Find the Domain	x=3y+1	$x = 3 y + 1$ $x = 3 y + 1$
412	Find the Domain	x-2y=8	$x - 2 y = 8$ $x - 2 y = 8$
413	Solve Using an Inverse Matrix	3a+5b+2d=0 , 4a+7b+5d=0 , a+b-4d=0 , 2a+9b+6d=0	$3 a + 5 b + 2 d = 0$ $3 a + 5 b + 2 d = 0$ , $4 a + 7 b + 5 d = 0$ $4 a + 7 b + 5 d = 0$ , $a + b - 4 d = 0$ $a + b - 4 d = 0$ , $2 a + 9 b + 6 d = 0$ $2 a + 9 b + 6 d = 0$
414	Find the Domain	x-4=0	$x - 4 = 0$ $x - 4 = 0$
415	Find the Domain	x-7=0	$x - 7 = 0$ $x - 7 = 0$
416	Find the Domain	x-4y=-8	$x - 4 y = - 8$ $x - 4 y = - 8$
417	Find the Domain	y-3=y(x+4)	$y - 3 = y (x + 4)$ $y - 3 = y (x + 4)$
418	Find the Domain	x-y=6	$x - y = 6$ $x - y = 6$
419	Find the Domain	x-y=-6	$x - y = - 6$ $x - y = - 6$
420	Find the Domain	y+5=2(x+2)	$y + 5 = 2 (x + 2)$ $y + 5 = 2 (x + 2)$
421	Find the Domain	y=-x-1	$y = - x - 1$ $y = - x - 1$
422	Find Reduced Row Echelon Form	[[1,2,-3],[2,-1,4],[4,3,-2]]	$⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & - 3 2 & - 1 & 4 4 & 3 & - 2 \end{matrix} ⎤ ⎥ ⎦$ $[\begin{array}{c} 1 & 2 & - 3 \\ 2 & - 1 & 4 \\ 4 & 3 & - 2 \end{array}]$
423	Find the Eigenvectors/Eigenspace	[[7,0,4],[0,10,0],[4,0,-8]]	$⎡ ⎢ ⎣ \begin{matrix} 7 & 0 & 4 0 & 10 & 0 4 & 0 & - 8 \end{matrix} ⎤ ⎥ ⎦$ $[\begin{array}{c} 7 & 0 & 4 \\ 0 & 10 & 0 \\ 4 & 0 & - 8 \end{array}]$
424	Find the Domain	(2-x)^2	${(2 - x)}^{2}$ ${(2 - x)}^{2}$
425	Find the Domain	((7x^9)/(3y^2))^2	${(\frac{7 x^{9}}{3 y^{2}})}^{2}$ ${(\frac{7 x^{9}}{3 y^{2}})}^{2}$
426	Find the Domain	(x+4)(x-4)	$(x + 4) (x - 4)$ $(x + 4) (x - 4)$
427	Find the Eigenvalues	[[3,4],[-2,-4]]	$[\begin{matrix} 3 & 4 - 2 & - 4 \end{matrix}]$ $[\begin{array}{c} 3 & 4 \\ - 2 & - 4 \end{array}]$
428	Find the Norm	[[4+3i],[4-2i],[0-4i]]	$⎡ ⎢ ⎣ \begin{matrix} 4 + 3 i 4 - 2 i 0 - 4 i \end{matrix} ⎤ ⎥ ⎦$ $[\begin{array}{c} 4 + 3 i \\ 4 - 2 i \\ 0 - 4 i \end{array}]$
429	Find the Domain	2x-y=5	$2 x - y = 5$ $2 x - y = 5$
430	Find the Domain	-4x+6+(x-5)	$- 4 x + 6 + (x - 5)$ $- 4 x + 6 + (x - 5)$
431	Solve for p	p(2)=-x^3-x^2+5x+5	$p (2) = - x^{3} - x^{2} + 5 x + 5$ $p (2) = - x^{3} - x^{2} + 5 x + 5$
432	Simplify	square root of (3-2)^2+(-1-(-3)^2)	$\sqrt{{(3 - 2)}^{2} + (- 1 - {(- 3)}^{2})}$ $\sqrt{{(3 - 2)}^{2} + (- 1 - {(- 3)}^{2})}$
433	Find the Domain	(-3ba^4)^4	${(- 3 b a^{4})}^{4}$ ${(- 3 b a^{4})}^{4}$
434	Find the Domain	(x^2+6x)/10=x/5	$\frac{x^{2} + 6 x}{10} = \frac{x}{5}$ $\frac{x^{2} + 6 x}{10} = \frac{x}{5}$
435	Find the Domain	log base 5 of (4x-5)^2=6	${log}_{5} ({(4 x - 5)}^{2}) = 6$ $\log_{5} ({(4 x - 5)}^{2}) = 6$
436	Find the Domain	\|7+6c\|-11=-6	$\| 7 + 6 c \| - 11 = - 6$ $\| 7 + 6 c \| - 11 = - 6$
437	Find the Domain	\|8x-10\|=16	$\| 8 x - 10 \| = 16$ $\| 8 x - 10 \| = 16$
438	Find the Domain	1/(x+5)+10/(x^2-25)=1	$\frac{1}{x + 5} + \frac{10}{x^{2} - 25} = 1$ $\frac{1}{x + 5} + \frac{10}{x^{2} - 25} = 1$
439	Find the Norm	[[0+3i],[4+3i],[2+0i],[2-3i]]	$⎡ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 0 + 3 i 4 + 3 i 2 + 0 i 2 - 3 i \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎦$ $[\begin{array}{c} 0 + 3 i \\ 4 + 3 i \\ 2 + 0 i \\ 2 - 3 i \end{array}]$
440	Find the Null Space	[[1,-1,3],[5,-4,-4],[7,-6,2]]	$⎡ ⎢ ⎣ \begin{matrix} 1 & - 1 & 3 5 & - 4 & - 4 7 & - 6 & 2 \end{matrix} ⎤ ⎥ ⎦$ $[\begin{array}{c} 1 & - 1 & 3 \\ 5 & - 4 & - 4 \\ 7 & - 6 & 2 \end{array}]$
441	Find the Inverse	[[a,0,0],[0,b,0],[0,0,c]]	$⎡ ⎢ ⎣ \begin{matrix} a & 0 & 0 0 & b & 0 0 & 0 & c \end{matrix} ⎤ ⎥ ⎦$ $[\begin{array}{c} a & 0 & 0 \\ 0 & b & 0 \\ 0 & 0 & c \end{array}]$
442	Find the Domain	y=x+7	$y = x + 7$ $y = x + 7$
443	Find the Domain	x+2y=5	$x + 2 y = 5$ $x + 2 y = 5$
444	Find the Norm	[[4-1i],[4-2i],[2+2i],[3-3i]]	$⎡ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 4 - 1 i 4 - 2 i 2 + 2 i 3 - 3 i \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎦$ $[\begin{array}{c} 4 - 1 i \\ 4 - 2 i \\ 2 + 2 i \\ 3 - 3 i \end{array}]$
445	Find Reduced Row Echelon Form	[[2,0,6],[-3,5,-19],[4,1,10],[1,-2,7]]	$⎡ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 2 & 0 & 6 - 3 & 5 & - 19 4 & 1 & 10 1 & - 2 & 7 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎦$ $[\begin{array}{c} 2 & 0 & 6 \\ - 3 & 5 & - 19 \\ 4 & 1 & 10 \\ 1 & - 2 & 7 \end{array}]$
446	Find the Norm	[[3+4i],[4+4i],[2+2i],[4-2i]]	$[\begin{array}{c} 3 + 4 i \\ 4 + 4 i \\ 2 + 2 i \\ 4 - 2 i \end{array}]$
447	Find the Domain	2x-y=3	$2 x - y = 3$
448	Find the Cofactor Matrix	[[1,2,3],[0,4,5],[1,0,6]]	$[\begin{array}{c} 1 & 2 & 3 \\ 0 & 4 & 5 \\ 1 & 0 & 6 \end{array}]$
449	Find the Norm	[[2-3i],[2-2i],[1-2i],[1+0i]]	$[\begin{array}{c} 2 - 3 i \\ 2 - 2 i \\ 1 - 2 i \\ 1 + 0 i \end{array}]$
450	Find the Domain	x=0	$x = 0$
451	Find the Domain	y=4^x	$y = 4^{x}$
452	Find the Domain	y	$y$
453	Find the Norm	[[0+0i],[2-3i],[1+2i],[1+0i]]	$[\begin{array}{c} 0 + 0 i \\ 2 - 3 i \\ 1 + 2 i \\ 1 + 0 i \end{array}]$
454	Find the Norm	[[2+3i],[4-1i],[3+2i]]	$[\begin{array}{c} 2 + 3 i \\ 4 - 1 i \\ 3 + 2 i \end{array}]$
455	Find Reduced Row Echelon Form	[[2,0,-2],[-3,5,28],[4,1,1],[1,-2,-11]]	$[\begin{array}{c} 2 & 0 & - 2 \\ - 3 & 5 & 28 \\ 4 & 1 & 1 \\ 1 & - 2 & - 11 \end{array}]$
456	Find the Domain	y=1/4x	$y = \frac{1}{4} x$
457	Determine if Linearly Dependent	s={[[2],[-1],[3],[4],[2]],[[6],[2],[-1],[3],[4]]}	$s = {[\begin{array}{c} 2 \\ - 1 \\ 3 \\ 4 \\ 2 \end{array}], [\begin{array}{c} 6 \\ 2 \\ - 1 \\ 3 \\ 4 \end{array}]}$
458	Find the Domain	y=-1/2x-1	$y = - \frac{1}{2} x - 1$
459	Find the Norm	[[3-2i],[3-2i],[0-1i]]	$[\begin{array}{c} 3 - 2 i \\ 3 - 2 i \\ 0 - 1 i \end{array}]$
460	Find the Domain	y=5x+3	$y = 5 x + 3$
461	Find the Domain	y=3x-7	$y = 3 x - 7$
462	Find the Eigenvectors/Eigenspace	[[1,1],[0,1]]	$[\begin{array}{c} 1 & 1 \\ 0 & 1 \end{array}]$
463	Find the Domain	y=3x^2	$y = 3 x^{2}$
464	Find the Domain	5x+2y=10	$5 x + 2 y = 10$
465	Find the Domain	x^2-3x+2=0	$x^{2} - 3 x + 2 = 0$
466	Find the Domain	x^2+2x+5=0	$x^{2} + 2 x + 5 = 0$
467	Find the Domain	2x+y=6	$2 x + y = 6$
468	Find the Domain	2x+y=7	$2 x + y = 7$
469	Find the Domain	(x+6)/12=1/6+(x-5)/7	$\frac{x + 6}{12} = \frac{1}{6} + \frac{x - 5}{7}$
470	Find the Domain	2x=y+8	$2 x = y + 8$
471	Find the Domain	2x-3y=4	$2 x - 3 y = 4$
472	Find the Domain	2x-3y=6	$2 x - 3 y = 6$
473	Find the Domain	\|6n-9\|+3=12	$\| 6 n - 9 \| + 3 = 12$
474	Find the Domain	-2x+y=4	$- 2 x + y = 4$
475	Find the Domain	2x-4y=7	$2 x - 4 y = 7$
476	Find the Domain	2x-y=8	$2 x - y = 8$
477	Find the Domain	22y^2+10y-30y^2	$22 y^{2} + 10 y - 30 y^{2}$
478	Find the Domain	x^3+3^x=64	$x^{3} + 3^{x} = 64$
479	Find the Domain	x^7+y^8+8	$x^{7} + y^{8} + 8$
480	Find the Domain	0.1=3.3-x	$0.1 = 3.3 - x$
481	Find the Domain	10x-5x-3x=0	$10 x - 5 x - 3 x = 0$
482	Find the Domain	-3/(x^2-5x-3)	$\frac{- 3}{x^{2} - 5 x - 3}$
483	Find the Domain	1/3*(6z+10)	$\frac{1}{3} \cdot (6 z + 10)$
484	Find the Domain	2/(x+2)+1/(x+4)=4/(x^2+6x+8)	$\frac{2}{x + 2} + \frac{1}{x + 4} = \frac{4}{x^{2} + 6 x + 8}$
485	Find the Domain	-1/2+1/5w=-3/7	$- \frac{1}{2} + \frac{1}{5} w = - \frac{3}{7}$
486	Determine if Linearly Dependent	A={[[1,2],[3,4]],[[1,2],[12,2]]}	$A = {[\begin{array}{c} 1 & 2 \\ 3 & 4 \end{array}], [\begin{array}{c} 1 & 2 \\ 12 & 2 \end{array}]}$
487	Find the Domain	2/7*(14q+7/2)-3q=9	$\frac{2}{7} \cdot (14 q + \frac{7}{2}) - 3 q = 9$
488	Find the Domain	(6-2)/(8+5x-1)	$\frac{6 - 2}{8 + 5 x - 1}$
489	Find the Domain	(96x^3)/(2x)	$\frac{96 x^{3}}{2 x}$
490	Find the Domain	(9w^2-49)/(3w^2-1w-14)*(7w^2+6w-16)/(49w^2-64)	$\frac{9 w^{2} - 49}{3 w^{2} - 1 w - 14} \cdot \frac{7 w^{2} + 6 w - 16}{49 w^{2} - 64}$
491	Find the Domain	(ac)/(cb)=3/2	$\frac{a c}{c b} = \frac{3}{2}$
492	Find the Domain	(dk)/(ds)=(-4s^3-10s+54)/((s^2-6s+16)^2)	$\frac{d k}{d s} = \frac{- 4 s^{3} - 10 s + 54}{{(s^{2} - 6 s + 16)}^{2}}$
493	Find the Domain	s/4+9=2	$\frac{s}{4} + 9 = 2$
494	Find the Domain	x/4=12	$\frac{x}{4} = 12$
495	Find the Domain	(3 square root of 27x^27)/(3x^-2)*((-3x)^3)/(3x^-1)	$\frac{3 \sqrt{27 x^{27}}}{3 x^{- 2}} \cdot \frac{{(- 3 x)}^{3}}{3 x^{- 1}}$
496	Find the Domain	x^2+y^2=13	$x^{2} + y^{2} = 13$
497	Find the Domain	x^2+3x-2	$x^{2} + 3 x - 2$
498	Find Reduced Row Echelon Form	[[2,2,2,0],[-2,5,2,1],[8,1,4,-1]]	$[\begin{array}{c} 2 & 2 & 2 & 0 \\ - 2 & 5 & 2 & 1 \\ 8 & 1 & 4 & - 1 \end{array}]$
499	Find Reduced Row Echelon Form	[[2,-3,-2],[2,1,1],[3,2,1]]	$[\begin{array}{c} 2 & - 3 & - 2 \\ 2 & 1 & 1 \\ 3 & 2 & 1 \end{array}]$
500	Find Reduced Row Echelon Form	[[3,-2,0],[6,-4,-8],[1,12,-2]]	$[\begin{array}{c} 3 & - 2 & 0 \\ 6 & - 4 & - 8 \\ 1 & 12 & - 2 \end{array}]$