Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
27701	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(6,-9) , (0,4)	$(6, - 9) (0, 4)$
27702	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(7,-3) , (-3,-3)	$(7, - 3)$ , $(- 3, - 3)$
27703	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(7,4) , (-8,4)	$(7, 4) (- 8, 4)$
27704	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(7,5) , (9,10)	$(7, 5)$ , $(9, 10)$
27705	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(7,7) , (14,9)	$(7, 7)$ , $(14, 9)$
27706	Find Where Undefined/Discontinuous	4cot(2x)^2=sec(x)^2+csc(x)^2-4	$4 \cot^{2} (2 x) = \sec^{2} (x) + \csc^{2} (x) - 4$
27707	Find Where Undefined/Discontinuous	4tan(x)^2+3/(cos(x))+3=0	$4 \tan^{2} (x) + \frac{3}{\cos (x)} + 3 = 0$
27708	Find Where Undefined/Discontinuous	4cos(2x)=-4cos(x)	$4 \cos (2 x) = - 4 \cos (x)$
27709	Find Where Undefined/Discontinuous	4cos(x)+5cos(x)=4	$4 \cos (x) + 5 \cos (x) = 4$
27710	Find Where Undefined/Discontinuous	4cot(x)+3=-1	$4 \cot (x) + 3 = - 1$
27711	Find Where Undefined/Discontinuous	4sec(x+8)=0	$4 \sec (x + 8) = 0$
27712	Find Where Undefined/Discontinuous	4sin(x)+1=2sin(x)	$4 \sin (x) + 1 = 2 \sin (x)$
27713	Find Where Undefined/Discontinuous	4 square root of 3sin(x)cos(x)=3	$4 \sqrt{3} \sin (x) \cos (x) = 3$
27714	Find Where Undefined/Discontinuous	4x+2i=8+yi	$4 x + 2 i = 8 + y i$
27715	Find Where Undefined/Discontinuous	4x-2y-3z=-2	$4 x - 2 y - 3 z = - 2$
27716	Find Where Undefined/Discontinuous	4x-9y+1=0	$4 x - 9 y + 1 = 0$
27717	Find Where Undefined/Discontinuous	5cot(x/4)^2-6csc(x)-10=0	$5 \cot^{2} (\frac{x}{4}) - 6 \csc (x) - 10 = 0$
27718	Find Where Undefined/Discontinuous	5cot(x)+3=-2	$5 \cot (x) + 3 = - 2$
27719	Find Where Undefined/Discontinuous	5sin(x)cos(x)^2=5sin(x)	$5 \sin (x) \cos^{2} (x) = 5 \sin (x)$
27720	Find Where Undefined/Discontinuous	5x-3y=15	$5 x - 3 y = 15$
27721	Find Where Undefined/Discontinuous	6x^2-49x=-99	$6 x^{2} - 49 x = - 99$
27722	Find Where Undefined/Discontinuous	6sin(2t)+9sin(t)=0	$6 \sin (2 t) + 9 \sin (t) = 0$
27723	Find Where Undefined/Discontinuous	2 log of x = log of x^2+2x-5	$2 \log (x) = \log (x^{2} + 2 x - 5)$
27724	Find Where Undefined/Discontinuous	2 log base 9 of 3x-1 = log base 9 of 6x+1	$2 \log_{9} (3 x - 1) = \log_{9} (6 x + 1)$
27725	Find Where Undefined/Discontinuous	2sin(x)^2+sin(x)-1=0	$2 \sin^{2} (x) + \sin (x) - 1 = 0$
27726	Find Where Undefined/Discontinuous	2sin(u)^2=-1-3sin(u)	$2 \sin^{2} (u) = - 1 - 3 \sin (u)$
27727	Find Where Undefined/Discontinuous	2sin(x)^2+3sin(x)+1	$2 \sin^{2} (x) + 3 \sin (x) + 1$
27728	Find Where Undefined/Discontinuous	2sin(x)^2+cos(x-1)=0	$2 \sin^{2} (x) + \cos (x - 1) = 0$
27729	Find Where Undefined/Discontinuous	20arcsin(x)=5pi	$20 \arcsin (x) = 5 π$
27730	Find Where Undefined/Discontinuous	2cos(x)-1=0	$2 \cos (x) - 1 = 0$
27731	Find Where Undefined/Discontinuous	2cos(2x)+ square root of 2=0	$2 \cos (2 x) + \sqrt{2} = 0$
27732	Find Where Undefined/Discontinuous	2cos(x)=1	$2 \cos (x) = 1$
27733	Find Where Undefined/Discontinuous	2rcos(x)-3sin(x)=5	$2 r \cos (x) - 3 \sin (x) = 5$
27734	Find Where Undefined/Discontinuous	x^2+3x-5=0	$x^{2} + 3 x - 5 = 0$
27735	Find Where Undefined/Discontinuous	x^2+y+6x-4y=23	$x^{2} + y + 6 x - 4 y = 23$
27736	Find Where Undefined/Discontinuous	x^2=7^2+9^2-279cos(30)	$x^{2} = 7^{2} + 9^{2} - 2 \cdot 7 \cdot 9 \cos (30)$
27737	Find Where Undefined/Discontinuous	x^2-4x+k=0	$x^{2} - 4 x + k = 0$
27738	Find Where Undefined/Discontinuous	x^4+81i=0	$x^{4} + 81 i = 0$
27739	Find Where Undefined/Discontinuous	z=5cos(20)+isin(20)z^2=4(cos(10)+isin(10))	$z = 5 \cos (20) + i \sin (20) z^{2} = 4 (\cos (10) + i \sin (10))$
27740	Find Where Undefined/Discontinuous	0.15x+0.4(x-5)=0.01(4x-4)	$0.15 x + 0.4 (x - 5) = 0.01 (4 x - 4)$
27741	Find Where Undefined/Discontinuous	0.20=(x^2)/(35-x)	$0.2 = \frac{x^{2}}{35 - x}$
27742	Find Where Undefined/Discontinuous	0.3x^2-1.8x-0.3=0	$0.3 x^{2} - 1.8 x - 0.3 = 0$
27743	Find Where Undefined/Discontinuous	0.7x^2-1.4x-0.7=0	$0.7 x^{2} - 1.4 x - 0.7 = 0$
27744	Find Where Undefined/Discontinuous	0=x^2+4x-12	$0 = x^{2} + 4 x - 12$
27745	Find Where Undefined/Discontinuous	0=320t-32t^2	$0 = 320 t - 32 t^{2}$
27746	Find Where Undefined/Discontinuous	1-((sin(x)^2)/(1+cos(x)))=cos(x)	$1 - (\frac{\sin^{2} (x)}{1 + \cos (x)}) = \cos (x)$
27747	Find Where Undefined/Discontinuous	-1.10025+1.7cos(x)sin(x)+1.22sin(x)=0	$- 1.10025 + 1.7 \cos (x) \sin (x) + 1.22 \sin (x) = 0$
27748	Find Where Undefined/Discontinuous	10 log base 9 of fifth root of y=1	$10 \log_{9} (\sqrt[5]{y}) = 1$
27749	Find Where Undefined/Discontinuous	11(1-cos(x))=sin(x)^2	$11 (1 - \cos (x)) = \sin^{2} (x)$
27750	Find Where Undefined/Discontinuous	156=(x+8)+y	$156 = (x + 8) + y$
27751	Find Where Undefined/Discontinuous	16sin(x)^2+24sin(x)+9=0	$16 \sin^{2} (x) + 24 \sin (x) + 9 = 0$
27752	Find Where Undefined/Discontinuous	18tan(x)-6cot(x)=0	$18 \tan (x) - 6 \cot (x) = 0$
27753	Find Where Undefined/Discontinuous	1-cos(7x)cos(x)-sin(7x)sin(x)=2sin(3x)^2	$1 - \cos (7 x) \cos (x) - \sin (7 x) \sin (x) = 2 \sin^{2} (3 x)$
27754	Find Where Undefined/Discontinuous	2(1.17)^x+1=6	$2 {(1.17)}^{x} + 1 = 6$
27755	Find Where Undefined/Discontinuous	log base 6 of (16)^(2x)+ log base 8 of (34)^(3x)=65	$\log_{6} ({(16)}^{2 x}) + \log_{8} ({(34)}^{3 x}) = 65$
27756	Find Where Undefined/Discontinuous	(sin(a)^2)/(1-cos(a))=1+cos(a)	$\frac{\sin^{2} (a)}{1 - \cos (a)} = 1 + \cos (a)$
27757	Find Where Undefined/Discontinuous	(sin(x)^2)/(sin(x)cos(x))=1/(sin(x)cos(x))	$\frac{\sin^{2} (x)}{\sin (x) \cos (x)} = \frac{1}{\sin (x) \cos (x)}$
27758	Find Where Undefined/Discontinuous	(tan(x+1)^2)/(tan(x)csc(x)^2)=tan(x)	$\frac{\tan^{2} (x + 1)}{\tan (x) \csc^{2} (x)} = \tan (x)$
27759	Find Where Undefined/Discontinuous	(tan(x)^2)/(sec(x))=sec(x)+cos(x)	$\frac{\tan^{2} (x)}{\sec (x)} = \sec (x) + \cos (x)$
27760	Find Where Undefined/Discontinuous	x=60	$x = 60$
27761	Find Where Undefined/Discontinuous	x=-100	$x = - 100$
27762	Find Where Undefined/Discontinuous	x=162	$x = 162$
27763	Find Where Undefined/Discontinuous	x=38.2	$x = 38.2$
27764	Find Where Undefined/Discontinuous	square root of 4x+76=2x-2	$\sqrt{4 x + 76} = 2 x - 2$
27765	Find Where Undefined/Discontinuous	square root of -6x+19=x-2	$\sqrt{- 6 x + 19} = x - 2$
27766	Find Where Undefined/Discontinuous	square root of x-7=3	$\sqrt{x} - 7 = 3$
27767	Find Where Undefined/Discontinuous	x^(2/3)-9/25=0	$x^{\frac{2}{3}} - \frac{9}{25} = 0$
27768	Find Where Undefined/Discontinuous	x^(3/2)+9=134	$x^{\frac{3}{2}} + 9 = 134$
27769	Find Where Undefined/Discontinuous	4/7*(w-4)-19/7=-5	$\frac{4}{7} \cdot (w - 4) - \frac{19}{7} = - 5$
27770	Find Where Undefined/Discontinuous	52/(sin(47))=x/(sin(72))	$\frac{52}{\sin (47)} = \frac{x}{\sin (72)}$
27771	Find Where Undefined/Discontinuous	6/5*arccos(y/8)=pi	$\frac{6}{5} \cdot \arccos (\frac{y}{8}) = π$
27772	Find Where Undefined/Discontinuous	9x^3-3x^2-3x+1=0	$9 x^{3} - 3 x^{2} - 3 x + 1 = 0$
27773	Find Where Undefined/Discontinuous	9x^4a^2+15x^2a^3=3x^2a^2	$9 x^{4} a^{2} + 15 x^{2} a^{3} = 3 x^{2} a^{2}$
27774	Find Where Undefined/Discontinuous	9x^4-25x^3-x^2+19=0	$9 x^{4} - 25 x^{3} - x^{2} + 19 = 0$
27775	Find Where Undefined/Discontinuous	9cos(x)=-3 square root of 3sin(x)	$9 \cos (x) = - 3 \sqrt{3} \sin (x)$
27776	Find Where Undefined/Discontinuous	a+bi=-9+4i	$a + b i = - 9 + 4 i$
27777	Find Where Undefined/Discontinuous	a=arctan(0.8333)	$a = \arctan (0.8333)$
27778	Find Where Undefined/Discontinuous	An=3n+2
27779	Find Where Undefined/Discontinuous	an=3n-1
27780	Find Where Undefined/Discontinuous	arctan(x^2)=(-pi)/3	$\arctan (x^{2}) = \frac{- π}{3}$
27781	Find Where Undefined/Discontinuous	b=arcsin((13.2sin(41.5))/19.8)	$b = \arcsin (\frac{13.2 \sin (41.5)}{19.8})$
27782	Find Where Undefined/Discontinuous	B=0.3333	$B = 0.3333$
27783	Find Where Undefined/Discontinuous	c=12/(k^5)	$c = \frac{12}{k^{5}}$
27784	Find Where Undefined/Discontinuous	cos(x)=( square root of 3)/2	$\cos (x) = \frac{\sqrt{3}}{2}$
27785	Find Where Undefined/Discontinuous	cos(x)=(11pi)/6	$\cos (x) = \frac{11 π}{6}$
27786	Find Where Undefined/Discontinuous	cos(x)=5/4	$\cos (x) = \frac{5}{4}$
27787	Find Where Undefined/Discontinuous	cos(x)=0.52	$\cos (x) = 0.52$
27788	Find Where Undefined/Discontinuous	cos(x)=0.7133	$\cos (x) = 0.7133$
27789	Find Where Undefined/Discontinuous	cos(x)-sin(x)=0	$\cos (x) - \sin (x) = 0$
27790	Find Where Undefined/Discontinuous	cos(2x)+6cos(x)^2=5	$\cos (2 x) + 6 \cos^{2} (x) = 5$
27791	Find Where Undefined/Discontinuous	cos(2x)+sin(x)=0	$\cos (2 x) + \sin (x) = 0$
27792	Find Where Undefined/Discontinuous	7x^3+12x^2-11x+2=0	$7 x^{3} + 12 x^{2} - 11 x + 2 = 0$
27793	Find Where Undefined/Discontinuous	79x+48y+64z=5832	$79 x + 48 y + 64 z = 5832$
27794	Find Where Undefined/Discontinuous	7tan(x)-7cot(x)=0	$7 \tan (x) - 7 \cot (x) = 0$
27795	Find Where Undefined/Discontinuous	8x^2-2x-3=0	$8 x^{2} - 2 x - 3 = 0$
27796	Find Where Undefined/Discontinuous	8+5z=2(3z-7)	$8 + 5 z = 2 (3 z - 7)$
27797	Find Where Undefined/Discontinuous	8cos(2x)=24cos(x)-16	$8 \cos (2 x) = 24 \cos (x) - 16$
27798	Find Where Undefined/Discontinuous	8cos(2x)=1-cos(4x)	$8 \cos (2 x) = 1 - \cos (4 x)$
27799	Find Where Undefined/Discontinuous	8tan(x)-8/3*cot(x)=0	$8 \tan (x) - \frac{8}{3} \cdot \cot (x) = 0$
27800	Find Where Undefined/Discontinuous	9x^2+y^2=81	$9 x^{2} + y^{2} = 81$