Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
31201	Determine if Continuous	x^2-5y^2=6	$x^{2} - 5 y^{2} = 6$
31202	Determine if Continuous	x^4+5	$x^{4} + 5$
31203	Determine if Continuous	y^2-4x^2=16	$y^{2} - 4 x^{2} = 16$
31204	Determine if Continuous	2cos(x)^2cos(x)^2	$2 \cos^{2} (x) \cos^{2} (x)$
31205	Determine if Continuous	2x+3y=12	$2 x + 3 y = 12$
31206	Determine if Continuous	32sin(x)^2cos(x)^2	$32 \sin^{2} (x) \cos^{2} (x)$
31207	Determine if Continuous	4sin(x)sin(2x)	$4 \sin (x) \sin (2 x)$
31208	Determine if Continuous	6x-2y=16	$6 x - 2 y = 16$
31209	Determine if Continuous	96sin(x)^2cos(x)^2	$96 \sin^{2} (x) \cos^{2} (x)$
31210	Determine if Continuous	cos(2x)	$\cos (2 x)$
31211	Determine if Continuous	cos(arctan(1)+arccos(x/2))	$\cos (\arctan (1) + \arccos (\frac{x}{2}))$
31212	Solve by Graphing	x-30=-38	$x - 30 = - 38$
31213	Solve by Graphing	x=-3tan(0.5)x	$y = - 3 \tan (0.5) x$
31214	Solve by Graphing	x=arcsin(1/2)	$y = \arcsin (\frac{1}{2})$
31215	Solve by Graphing	x=sin(-( square root of 2)/2)	$y = \sin (- \frac{\sqrt{2}}{2})$
31216	Determine if Continuous	((x^2-9x+14)/(x^2-4))((x^2+3x+2)/(x^2-6x-7))	$(\frac{x^{2} - 9 x + 14}{x^{2} - 4}) (\frac{x^{2} + 3 x + 2}{x^{2} - 6 x - 7})$
31217	Determine if Continuous	(-5/3)p	$(- \frac{5}{3}) p$
31218	Determine if Continuous	((cot(x)+1)(cot(x)+1-(csc(x)^2)))/(cot(x))	$\frac{(\cot (x) + 1) (\cot (x) + 1 - (\csc^{2} (x)))}{\cot (x)}$
31219	Determine if Continuous	(4-cos(10x))^-11	${(4 - \cos (10 x))}^{- 11}$
31220	Determine if Continuous	(x-5)^2+(y-3)^2=36	${(x - 5)}^{2} + {(y - 3)}^{2} = 36$
31221	Determine if Continuous	0.0055/0.011	$\frac{0.0055}{0.011}$
31222	Determine if Continuous	1/(x+3)-2	$\frac{1}{x + 3} - 2$
31223	Solve by Graphing	r=-5	$r = - 5$
31224	Solve by Graphing	sec(x)=- square root of 2	$\sec (x) = - \sqrt{2}$
31225	Solve by Graphing	sec(x)=tan(x)+ square root of 3	$\sec (x) = \tan (x) + \sqrt{3}$
31226	Solve by Graphing	sin(x)=19/27	$\sin (x) = \frac{19}{27}$
31227	Solve by Graphing	sin(x/2)=1/2	$\sin (\frac{x}{2}) = \frac{1}{2}$
31228	Solve by Graphing	sin(2x)=1/2	$\sin (2 x) = \frac{1}{2}$
31229	Solve by Graphing	sin(2x) = square root of 2cos(x)	$\sin (2 x) = \sqrt{2} \cos (x)$
31230	Solve by Graphing	sin(2x)+1.5cos(x)=0	$\sin (2 x) + 1.5 \cos (x) = 0$
31231	Evaluate	sec(-(5pi)/4)	$\sec (- \frac{5 π}{4})$
31232	Solve by Graphing	sin(2x)=cos(2x)	$\sin (2 x) = \cos (2 x)$
31233	Solve by Graphing	sin(2x)cos(x)+cos(2x)sin(x)=1/2	$\sin (2 x) \cos (x) + \cos (2 x) \sin (x) = \frac{1}{2}$
31234	Evaluate	tan((-3pi)/4)	$\tan (\frac{- 3 π}{4})$
31235	Solve by Graphing	sin(4x)=( square root of 2)/2	$\sin (4 x) = \frac{\sqrt{2}}{2}$
31236	Solve by Graphing	sin(B)=( square root of 5)/7	$\sin (B) = \frac{\sqrt{5}}{7}$
31237	Solve by Graphing	sin(x)=1/( square root of 3)	$\sin (x) = \frac{1}{\sqrt{3}}$
31238	Solve by Graphing	sin(x)=-0.5	$\sin (x) = - 0.5$
31239	Solve for x	y=tan(1/2x)	$y = \tan (\frac{1}{2} x)$
31240	Solve by Graphing	tan((4pi)/3) = square root of 3	$\tan (\frac{4 π}{3}) = \sqrt{3}$
31241	Solve by Graphing	tan(a)=0.790325578	$\tan (a) = 0.\overline{7903255}$
31242	Solve by Graphing	tan(a)=(400+50 square root of 2)/(50 square root of 2)	$\tan (a) = \frac{400 + 50 \sqrt{2}}{50 \sqrt{2}}$
31243	Simplify	2sin(theta/5)cos(theta/5)	$2 \sin (\frac{θ}{5}) \cos (\frac{θ}{5})$
31244	Solve by Graphing	tan(x)=9	$\tan (x) = 9$
31245	Solve by Graphing	x(2/3)-7x1/3+6=0	$x (\frac{2}{3}) - 7 x \frac{1}{3} + 6 = 0$
31246	Solve by Graphing	x+4(cos(x))=0	$x + 4 (\cos (x)) = 0$
31247	Solve by Graphing	x=(-(-0.04-( square root of (0.04)^2-40.0030.12)))/(2(0.003))	$x = \frac{- (- 0.04 - (\sqrt{{(0.04)}^{2} - 4 \cdot 0.003 \cdot 0.12}))}{2 (0.003)}$
31248	Solve by Graphing	x = square root of 105	$x = \sqrt{105}$
31249	Solve by Graphing	natural log of log of x+2 = log of x-1=0	$\ln (\log (x + 2)) = \log (x - 1) = 0$
31250	Solve by Graphing	log of 14 = log of x-5+ log of 5	$\log (14) = \log (x - 5) + \log (5)$
31251	Solve by Graphing	log of 5x- log of x+1 = log of 3	$\log (5 x) - \log (x + 1) = \log (3)$
31252	Solve by Graphing	log of b*25=2	$\log (b) \cdot 25 = 2$
31253	Solve by Graphing	tan(x)=-14	$\tan (x) = - 14$
31254	Solve by Graphing	tan(x)=7.5773	$\tan (x) = 7.5773$
31255	Solve by Graphing	tan(x)=0.2	$\tan (x) = 0.2$
31256	Determine if Continuous	u(x) = square root of 8x-40	$u (x) = \sqrt{8 x - 40}$
31257	Determine if Continuous	y=(x-1)^3	$y = {(x - 1)}^{3}$
31258	Determine if Continuous	y=(x-5)/(x^2-6x+5)	$y = \frac{x - 5}{x^{2} - 6 x + 5}$
31259	Determine if Continuous	y=(3x-1)/(x^2-4x+4)	$y = \frac{3 x - 1}{x^{2} - 4 x + 4}$
31260	Determine if Continuous	y=5/2x-1	$y = \frac{5}{2} x - 1$
31261	Determine if Continuous	y=1-sin(x/3)	$y = 1 - \sin (\frac{x}{3})$
31262	Determine if Continuous	y=-2sin(x)	$y = - 2 \sin (x)$
31263	Determine if Continuous	y=2x-3	$y = 2 x - 3$
31264	Determine if Continuous	y=3cos(x)	$y = 3 \cos (x)$
31265	Determine if Continuous	y=3cot(3x-pi/2)	$y = 3 \cot (3 x - \frac{π}{2})$
31266	Determine if Continuous	y=3sec(2x)	$y = 3 \sec (2 x)$
31267	Determine if Continuous	y=4x+5	$y = 4 x + 5$
31268	Determine if Continuous	y=5x-9	$y = 5 x - 9$
31269	Determine if Continuous	y=cot(4/3x)	$y = \cot (\frac{4}{3} x)$
31270	Determine if Continuous	y = natural log of sin(x)	$y = \ln (\sin (x))$
31271	Determine if Continuous	y=x*sin(x)	$y = x \cdot \sin (x)$
31272	Determine if Continuous	f(x)=\|x\|-3	$f (x) = \| x \| - 3$
31273	Determine if Continuous	f(x)=(6x-2)/20	$f (x) = \frac{6 x - 2}{20}$
31274	Determine if Continuous	f(x) = square root of 9-s^2	$f (x) = \sqrt{9 - s^{2}}$
31275	Determine if Continuous	f(x)=15*0.03^x	$f (x) = 15 \cdot {0.03}^{x}$
31276	Determine if Continuous	f(x)=2x+3	$f (x) = 2 x + 3$
31277	Determine if Continuous	f(x)=7x+7	$f (x) = 7 x + 7$
31278	Determine if Continuous	g(x) = square root of x-4	$g (x) = \sqrt{x - 4}$
31279	Determine if Continuous	R(x)=(x-7)/((x-1)(x+2))	$R (x) = \frac{x - 7}{(x - 1) (x + 2)}$
31280	Determine if Linear	(12x+2)(7x+7)=180	$(12 x + 2) (7 x + 7) = 180$
31281	Determine if Linear	(13x+5)(8y+7)=180	$(13 x + 5) (8 y + 7) = 180$
31282	Determine if Linear	(x-a)(x-b)=c^2	$(x - a) (x - b) = c^{2}$
31283	Determine if Linear	0.02x^2-0.05x=20	$0.02 x^{2} - 0.05 x = 20$
31284	Determine if Linear	x=(11pi)/6	$x = \frac{11 π}{6}$
31285	Determine if Continuous	f(x)=x^(2/3)	$f (x) = x^{\frac{2}{3}}$
31286	Determine if Continuous	f(x)=(1-x)^2-4	$f (x) = {(1 - x)}^{2} - 4$
31287	Determine if Continuous	f(x)=(x^2+8x+15)/(x^2-9)	$f (x) = \frac{x^{2} + 8 x + 15}{x^{2} - 9}$
31288	Determine if Continuous	f(x)=(x^2-49)/(x-7)	$f (x) = \frac{x^{2} - 49}{x - 7}$
31289	Determine if Continuous	f(x)=(x^2-4x-12)/(x+2)	$f (x) = \frac{x^{2} - 4 x - 12}{x + 2}$
31290	Determine if Continuous	f(x)=1/( square root of e^(x^2))-1	$f (x) = \frac{1}{\sqrt{e^{x^{2}}}} - 1$
31291	Determine if Continuous	f(x)=1/3x^3-2x^2+3x+1	$f (x) = \frac{1}{3} x^{3} - 2 x^{2} + 3 x + 1$
31292	Determine if Continuous	f(x)=1/3x^6-7x^4+ square root of 7x+3	$f (x) = \frac{1}{3} x^{6} - 7 x^{4} + \sqrt{7} x + 3$
31293	Determine if Continuous	f(x)=5/3*4/(5^x)	$f (x) = \frac{5}{3} \cdot \frac{4}{5^{x}}$
31294	Determine if Continuous	f(x)=5^(-x)	$f (x) = 5^{- x}$
31295	Determine if Continuous	f(x)=x/(x^2-36)	$f (x) = \frac{x}{x^{2} - 36}$
31296	Determine if Continuous	f(x)=x^2+2x-6	$f (x) = x^{2} + 2 x - 6$
31297	Determine if Continuous	f(x)=-x^3+x^2-2	$f (x) = - x^{3} + x^{2} - 2$
31298	Determine if Continuous	f(x)=x^3-5x	$f (x) = x^{3} - 5 x$
31299	Determine if Continuous	f(x)=x^4-9x^3+24x^2-6x-40	$f (x) = x^{4} - 9 x^{3} + 24 x^{2} - 6 x - 40$
31300	Determine if Continuous	f(x)=(x-4)/(-4x^2*(4x)+24)	$f (x) = \frac{x - 4}{- 4 x^{2} \cdot (4 x) + 24}$