Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
28401	Find the Quadrant	(-8,0)	$(- 8, 0)$
28402	Find the Quadrant	(-8,-1)	$(- 8, - 1)$
28403	Find the Quadrant	(-8,-3)	$(- 8, - 3)$
28404	Find the Quadrant	(-8,4)	$(- 8, 4)$
28405	Find the Quadrant	(8,-8)	$(8, - 8)$
28406	Find the Quadrant	(-oo,-3)	$(- o o, - 3)$
28407	Find the Quadrant	(-5,-4)	$(- 5, - 4)$
28408	Find the Quadrant	(10,4)	$C (10, 4)$
28409	Find the Quadrant	(128,12)	$g c d (128, 12)$
28410	Find the Quadrant	(0,p)	$(0, p)$
28411	Find the Quadrant	(-1,6)	$(- 1, 6)$
28412	Find the Quadrant	(2,-2 square root of 3)	$(2, - 2 \sqrt{3})$
28413	Find the Quadrant	(-3,45)	$(- 3, 45)$
28414	Find the Quadrant	(3,8)	$(3, 8)$
28415	Find the Quadrant	(-3+5/4,9/4)	$(- 3 + \frac{5}{4}, \frac{9}{4})$
28416	Find the Quadrant	(4,135)	$(4, 135)$
28417	Solve in Terms of the Arbitrary Variable y	sin(2x)=y , sin(x)=3/( square root of 13)	$\sin (2 x) = y$ , $\sin (x) = \frac{3}{\sqrt{13}}$
28418	Solve in Terms of the Arbitrary Variable y	sin(x)=15/17 , cos(2x)=y	$\sin (x) = \frac{15}{17}$ , $\cos (2 x) = y$
28419	Solve in Terms of the Arbitrary Variable y	x+2y=10 , 3x+(6+t)y=30	$x + 2 y = 10$ , $3 x + (6 + t) y = 30$
28420	Solve in Terms of the Arbitrary Variable y	x=3t+6 , y=9t^2	$x = 3 t + 6$ , $y = 9 t^{2}$
28421	Solve in Terms of the Arbitrary Variable y	x=4+2cos(t) , y=-1+4sin(t)	$x = 4 + 2 \cos (t)$ , $y = - 1 + 4 \sin (t)$
28422	Solve in Terms of the Arbitrary Variable y	x=t+6 , y=3t-2	$x = t + 6$ , $y = 3 t - 2$
28423	Solve in Terms of the Arbitrary Variable y	x-3y+13z=7 , 2x-y+4z=5	$x - 3 y + 13 z = 7$ , $2 x - y + 4 z = 5$
28424	Solve in Terms of the Arbitrary Variable y	xy+16=0 , x=45	$x y + 16 = 0$ , $x = 45$
28425	Solve in Terms of the Arbitrary Variable y	x-y+z=7 , 4x+3y-3z=0	$x - y + z = 7$ , $4 x + 3 y - 3 z = 0$
28426	Solve in Terms of the Arbitrary Variable y	xy=1400 , 1/(4p)*(x^2y)=700	$x y = 1400$ , $\frac{1}{4 p} \cdot (x^{2} y) = 700$
28427	Solve in Terms of the Arbitrary Variable y	y=(4/m)/(1/m+2/x) , m=1/(2x)	$y = \frac{\frac{4}{m}}{\frac{1}{m} + \frac{2}{x}}$ , $m = \frac{1}{2 x}$
28428	Solve in Terms of the Arbitrary Variable y	y=0.2sin(1.047x-0.524t) , y=0.2sin(1.047x+0.524t)	$y = 0.2 \sin (1.047 x - 0.524 t)$ , $y = 0.2 \sin (1.047 x + 0.524 t)$
28429	Solve in Terms of the Arbitrary Variable y	y=8m-6 , m=(x+6)/8	$y = 8 m - 6$ , $m = \frac{x + 6}{8}$
28430	Solve in Terms of the Arbitrary Variable Z	x=28 , b=10	$x = 28$ , $b = 10$
28431	Solve in Terms of the Arbitrary Variable z	10z+20y+30z=9100 , x+y+z=511	$10 z + 20 y + 30 z = 9100$ , $x + y + z = 511$
28432	Solve in Terms of the Arbitrary Variable z	2x+3y+3z=2 , 4x+18y+15z=55	$2 x + 3 y + 3 z = 2$ , $4 x + 18 y + 15 z = 55$
28433	Solve in Terms of the Arbitrary Variable z	2x+3y-z=1 , 3x+5y+z=2	$2 x + 3 y - z = 1$ , $3 x + 5 y + z = 2$
28434	Solve in Terms of the Arbitrary Variable z	2x+y+2z-4w=10 , x+3y+2z-11w=17 , 3x+y+7z-21w=0	$2 x + y + 2 z - 4 w = 10$ , $x + 3 y + 2 z - 11 w = 17$ , $3 x + y + 7 z - 21 w = 0$
28435	Solve in Terms of the Arbitrary Variable z	4x-3y+z=18 , x+y=7	$4 x - 3 y + z = 18$ , $x + y = 7$
28436	Solve in Terms of the Arbitrary Variable z	7z+2y+5z=2 , -35x+4y+15z=-4	$7 z + 2 y + 5 z = 2$ , $- 35 x + 4 y + 15 z = - 4$
28437	Solve in Terms of the Arbitrary Variable z	9w+10x+13y+13z=5 , 9w+9x+11y+12z=7 , 9w+7x+7y+10z=11	$9 w + 10 x + 13 y + 13 z = 5$ , $9 w + 9 x + 11 y + 12 z = 7$ , $9 w + 7 x + 7 y + 10 z = 11$
28438	Solve in Terms of the Arbitrary Variable Z	pi=6 , x=pi/3	$π = 6$ , $x = \frac{π}{3}$
28439	Solve in Terms of the Arbitrary Variable z	w+x-y+z=-3 , -4w-x+y-z=6 , -w+2x+y+2z=3	$w + x - y + z = - 3$ , $- 4 w - x + y - z = 6$ , $- w + 2 x + y + 2 z = 3$
28440	Solve in Terms of the Arbitrary Variable z	w+x-y-9z=-3 , 2w+3x+2y+15z=12 , 2w+x+2y+5z=8	$w + x - y - 9 z = - 3$ , $2 w + 3 x + 2 y + 15 z = 12$ , $2 w + x + 2 y + 5 z = 8$
28441	Solve in Terms of the Arbitrary Variable z	x+y+z=-17 , y-3z=0	$x + y + z = - 17$ , $y - 3 z = 0$
28442	Solve in Terms of the Arbitrary Variable Z	x=3cos(x) , y=5sin(x)	$x = 3 \cos (x)$ , $y = 5 \sin (x)$
28443	Solve in Terms of the Arbitrary Variable z	x-5y+4z=1 , 3x-2y+2z=-2	$x - 5 y + 4 z = 1$ , $3 x - 2 y + 2 z = - 2$
28444	Solve in Terms of the Arbitrary Variable z	x-6+3z=1 , 3x-5y+3z=-1	$x - 6 + 3 z = 1$ , $3 x - 5 y + 3 z = - 1$
28445	Solve in Terms of the Arbitrary Variable z	x-8y+3z=1 , 2x-3y+2z=-1	$x - 8 y + 3 z = 1$ , $2 x - 3 y + 2 z = - 1$
28446	Solve in Terms of the Arbitrary Variable z	xy=4 , x=45	$x y = 4$ , $x = 45$
28447	Solve in Terms of the Arbitrary Variable z	a=3(cos(15)+isin(15)) , b=2(cos(10)+isin(10))	$a = 3 (\cos (15) + i \sin (15))$ , $b = 2 (\cos (10) + i \sin (10))$
28448	Solve in Terms of the Arbitrary Variable z	z=4(cos(50)+isin(50)) , w=cos(340)+isin(340)	$z = 4 (\cos (50) + i \sin (50))$ , $w = \cos (340) + i \sin (340)$
28449	Find the Exact Value	sin(-22.5)	$\sin (- 22.5)$
28450	Solve in Terms of the Arbitrary Variable y	-8x+12y=-17 , 12x+ay=4	$- 8 x + 12 y = - 17$ , $12 x + a y = 4$
28451	Solve in Terms of the Arbitrary Variable y	a=32 , b=24 , y=75	$a = 32$ , $b = 24$ , $y = 75$
28452	Find the Equation with Real Coefficients	2x+3y-4z=-11 , 3x+4y+5z=8 , x-5=31	$2 x + 3 y - 4 z = - 11$ , $3 x + 4 y + 5 z = 8$ , $x - 5 = 31$
28453	Find the Equation with Real Coefficients	2x+4y=28 , 2x+y=10	$2 x + 4 y = 28$ , $2 x + y = 10$
28454	Find the Equation with Real Coefficients	2x+y=4 , 7x-y-3z=-2	$2 x + y = 4$ , $7 x - y - 3 z = - 2$
28455	Solve in Terms of the Arbitrary Variable x	y=(e^(4x)-3)^2 , x=0	$y = {(e^{4 x} - 3)}^{2}$ , $x = 0$
28456	Solve in Terms of the Arbitrary Variable x	y=1+(4-1)t , xy=4	$y = 1 + (4 - 1) t$ , $x y = 4$
28457	Solve in Terms of the Arbitrary Variable y	e^y=9 , 7^(-6x)=11	$e^{y} = 9$ , $7^{- 6 x} = 11$
28458	Solve in Terms of the Arbitrary Variable x	x=2sin(t) , y=2cos(t)	$x = 2 \sin (t)$ , $y = 2 \cos (t)$
28459	Solve in Terms of the Arbitrary Variable x	x=4e^t , y=5+e^t	$x = 4 e^{t}$ , $y = 5 + e^{t}$
28460	Solve in Terms of the Arbitrary Variable x	x=7sin(1)+sin(7t) , y=7cos(t)+cos(7t)	$x = 7 \sin (1) + \sin (7 t)$ , $y = 7 \cos (t) + \cos (7 t)$
28461	Solve in Terms of the Arbitrary Variable x	x-2y+5z=8 , 2x-y+2z=5	$x - 2 y + 5 z = 8$ , $2 x - y + 2 z = 5$
28462	Find the Equation with Real Coefficients	x=3 , x=1 , x=-2	$x = 3$ , $x = 1$ , $x = - 2$
28463	Solve in Terms of the Arbitrary Variable x	2y+3z=1 , 3x-4z=0	$2 y + 3 z = 1$ , $3 x - 4 z = 0$
28464	Solve in Terms of the Arbitrary Variable x	2z-3y=-7 , 5x+2y=11	$2 z - 3 y = - 7$ , $5 x + 2 y = 11$
28465	Solve in Terms of the Arbitrary Variable x	3x+4y-z=0 , x-2y+z=-8	$3 x + 4 y - z = 0$ , $x - 2 y + z = - 8$
28466	Solve in Terms of the Arbitrary Variable x	3x+6y-z=6 , x+y+2z=5	$3 x + 6 y - z = 6$ , $x + y + 2 z = 5$
28467	Solve in Terms of the Arbitrary Variable x	3x-4y+z=9 , x+y=14	$3 x - 4 y + z = 9$ , $x + y = 14$
28468	Solve in Terms of the Arbitrary Variable x	7y=-8e^(-x) , y+2x+23=0	$7 y = - 8 e^{- x}$ , $y + 2 x + 23 = 0$
28469	Solve in Terms of the Arbitrary Variable x	csc(x)=( square root of 5)/2 , tan(x)>0=cot(x)	$\csc (x) = \frac{\sqrt{5}}{2}$ , $\tan (x) > 0 = \cot (x)$
28470	Solve in Terms of the Arbitrary Variable x	p=-1/4x+100 , c=( square root of x)/25+600	$p = - \frac{1}{4} x + 100$ , $c = \frac{\sqrt{x}}{25} + 600$
28471	Solve in Terms of the Arbitrary Variable x	tan(x)=-12/15 , tan(2x)=y	$\tan (x) = - \frac{12}{15}$ , $\tan (2 x) = y$
28472	Solve in Terms of the Arbitrary Variable x	x+y+2z=5 , 2x-y+3z=4	$x + y + 2 z = 5$ , $2 x - y + 3 z = 4$
28473	Solve in Terms of the Arbitrary Variable x	x+y+c=1200 , 4x+5y+6c=5300	$x + y + c = 1200$ , $4 x + 5 y + 6 c = 5300$
28474	Solve in Terms of the Arbitrary Variable t	x=4e^t , y=3e^(-2t)	$x = 4 e^{t}$ , $y = 3 e^{- 2 t}$
28475	Solve in Terms of the Arbitrary Variable t	x=4sin(t) , y=4cos(t)	$x = 4 \sin (t)$ , $y = 4 \cos (t)$
28476	Solve in Terms of the Arbitrary Variable t	x=-7t+1 , y=-10t+9	$x = - 7 t + 1$ , $y = - 10 t + 9$
28477	Solve in Terms of the Arbitrary Variable t	x=cos(t) , y=-3+2sin(t)	$x = \cos (t)$ , $y = - 3 + 2 \sin (t)$
28478	Solve in Terms of the Arbitrary Variable t	x=t-3 , y=t^2+5	$x = t - 3$ , $y = t^{2} + 5$
28479	Solve in Terms of the Arbitrary Variable t	y=x^2-4 , t=2-x	$y = x^{2} - 4$ , $t = 2 - x$
28480	Solve in Terms of the Arbitrary Variable T	y=10sin(x)+sin(x)sin(x/10) , x=10cos(x)+cos(x)sin(x/10)	$y = 10 \sin (x) + \sin (x) \cdot \sin (\frac{x}{10})$ , $x = 10 \cos (x) + \cos (x) \cdot \sin (\frac{x}{10})$
28481	Solve in Terms of the Arbitrary Variable v	u=-2i+5j , v=4i-6j	$u = - 2 i + 5 j$ , $v = 4 i - 6 j$
28482	Solve in Terms of the Arbitrary Variable v	u=3i-2j , v=-7i-7j	$u = 3 i - 2 j$ , $v = - 7 i - 7 j$
28483	Solve in Terms of the Arbitrary Variable v	u=-8i+1j , v=6i+1j	$u = - 8 i + 1 j$ , $v = 6 i + 1 j$
28484	Solve in Terms of the Arbitrary Variable v	v=40 , x=135	$v = 40$ , $x = 135$
28485	Solve in Terms of the Arbitrary Variable v	v=-7i-2j , w=5i+4j	$v = - 7 i - 2 j$ , $w = 5 i + 4 j$
28486	Solve in Terms of the Arbitrary Variable w	3x-8y-3z+2w=-1 , -x+4y-2z-w=8	$3 x - 8 y - 3 z + 2 w = - 1$ , $- x + 4 y - 2 z - w = 8$
28487	Solve in Terms of the Arbitrary Variable w	w=3i+5j , v=5i	$w = 3 i + 5 j$ , $v = 5 i$
28488	Solve in Terms of the Arbitrary Variable w	w-6z=6 , x+y+6z=-1 , 0=0	$w - 6 z = 6$ , $x + y + 6 z = - 1$ , $0 = 0$
28489	Solve in Terms of the Arbitrary Variable w	x=2 , y=-4 , z+4w=5	$x = 2$ , $y = - 4$ , $z + 4 w = 5$
28490	Solve in Terms of the Arbitrary Variable w	x=3 , y=-4 , z+2w=3	$x = 3$ , $y = - 4$ , $z + 2 w = 3$
28491	Solve in Terms of the Arbitrary Variable x	7^(x-6)=15 , e^(0.84y)=12	$7^{x - 6} = 15$ , $e^{0.84 y} = 12$
28492	Solve in Terms of the Arbitrary Variable x	8^(y+4)=3 , e^x=15	$8^{y + 4} = 3$ , $e^{x} = 15$
28493	Solve in Terms of the Arbitrary Variable x	12x+ky=5 , 15x-10y=-11	$12 x + k y = 5$ , $15 x - 10 y = - 11$
28494	Solve in Terms of the Arbitrary Variable d	a*1=30 , d=-4 , s(n)=-210	$a \cdot 1 = 30$ , $d = - 4$ , $s (n) = - 210$
28495	Solve in Terms of the Arbitrary Variable g	length=4 , e=1/5
28496	Solve in Terms of the Arbitrary Variable h	v=pi/12h^3 , v=75t	$v = \frac{π}{12} h^{3}$ , $v = 75 t$
28497	Solve in Terms of the Arbitrary Variable j	u=cos(pi/4)i+sin(pi/4)j , v=cos((2pi)/3)i+sin((2pi)/3)j	$u = \cos (\frac{π}{4}) i + \sin (\frac{π}{4}) j$ , $v = \cos (\frac{2 π}{3}) i + \sin (\frac{2 π}{3}) j$
28498	Solve in Terms of the Arbitrary Variable j	v=5i+4j , w=i-j	$v = 5 i + 4 j$ , $w = i - j$
28499	Solve in Terms of the Arbitrary Variable j	v=i-j , w=-i+j	$v = i - j$ , $w = - i + j$
28500	Solve in Terms of the Arbitrary Variable k	3x-3y-kz=3k , x-y=3 , 2x+2y+4=6	$3 x - 3 y - k z = 3 k$ , $x - y = 3$ , $2 x + 2 y + 4 = 6$