Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48701	Find the x and y Intercepts	f(x)=40/(1+15e^(2.1x))	$f (x) = \frac{40}{1 + 15 e^{2.1 x}}$
48702	Find the x and y Intercepts	f(x)=3cos(2x)+1	$f (x) = 3 \cos (2 x) + 1$
48703	Solve the Triangle	tri{10}{}{}{}{10}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 10 \\ c = \\ a = & 10 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48704	Solve the Triangle	tri{11}{}{}{80}{}{54}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 11 \\ c = \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 80 \\ C = & 54 \end{matrix} \end{matrix}$
48705	Solve the Triangle	tri{10}{}{}{}{7}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 10 \\ c = \\ a = & 7 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48706	Solve the Triangle	tri{10}{}{26}{}{24}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 10 \\ c = & 26 \\ a = & 24 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48707	Solve the Triangle	tri()(45)(9 square root of 2)(45)()(90)	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 9 \sqrt{2} \\ a = \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
48708	Solve the Triangle	tri()(30 degrees )(12)(60 degrees )()(90 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 12 \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
48709	Solve the Triangle	tri{}{}{9}{}{6}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 9 \\ a = & 6 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48710	Solve the Triangle	tri{}{}{9}{}{7}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 9 \\ a = & 7 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48711	Solve the Triangle	tri{}{20}{}{}{3}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = & 20 \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48712	Solve the Triangle	tri{}{30}{8}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 8 \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48713	Solve the Triangle	tri()(30)(2 square root of 3)(60)()(90)	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 2 \sqrt{3} \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
48714	Solve the Triangle	tri{}{}{7}{}{5}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 7 \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48715	Solve the Triangle	tri{}{}{5}{35}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 5 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 35 \\ C = & 90 \end{matrix} \end{matrix}$
48716	Solve the Triangle	tri{}{}{4}{70}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 4 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 70 \\ C = & 90 \end{matrix} \end{matrix}$
48717	Solve the Triangle	tri{}{}{41}{}{9}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 41 \\ a = & 9 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48718	Solve the Triangle	tri{}{}{10}{}{9}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \\ a = & 9 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48719	Solve the Triangle	tri{5}{}{12}{}{13}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = & 12 \\ a = & 13 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48720	Solve the Triangle	tri{5}{}{}{}{4}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = \\ a = & 4 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48721	Solve the Triangle	tri{5}{}{}{}{12}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = \\ a = & 12 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48722	Solve the Triangle	tri{5}{}{10}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48723	Solve the Triangle	tri{4}{}{9}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = & 9 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48724	Solve the Triangle	tri{4}{60}{}{30}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 60 \\ B = & 30 \\ C = & 90 \end{matrix} \end{matrix}$
48725	Solve the Triangle	tri(8)()( square root of 80)()()(90 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 8 \\ c = & \sqrt{80} \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48726	Solve the Triangle	tri{7}{}{}{}{24}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = \\ a = & 24 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48727	Solve the Triangle	tri{2.7}{}{}{}{1.1}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 2.7 \\ c = \\ a = & 1.1 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48728	Solve the Triangle	tri{2}{}{}{}{3}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 2 \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48729	Solve the Triangle	tri{16}{}{20}{}{12}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 16 \\ c = & 20 \\ a = & 12 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48730	Solve the Triangle	tri(12)()(13)()(5)(90 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = & 13 \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48731	Solve the Triangle	tri{28}{}{53}{}{45}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 28 \\ c = & 53 \\ a = & 45 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48732	Solve the Triangle	tri(3 square root of 3)(30)()(60)()(90)	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 3 \sqrt{3} \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
48733	Solve the Triangle	tri{36}{}{39}{}{15}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 36 \\ c = & 39 \\ a = & 15 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48734	Solve the Triangle	tri{3}{}{4}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 3 \\ c = & 4 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48735	Solve the Triangle	tri(33.2)()()(61 degrees )()(90 degrees )	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 33.2 \\ c = \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 61 \\ C = & 90 \end{matrix} \end{matrix}$
48736	Solve the Triangle	tri{9}{}{15}{}{12}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 9 \\ c = & 15 \\ a = & 12 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48737	Solve the Triangle	tri{9}{}{41}{}{40}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 9 \\ c = & 41 \\ a = & 40 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
48738	Find Trig Functions Using Identities	(-5,-3)	$(- 5, - 3)$
48739	Find Trig Functions Using Identities	(-20/29,21/29)	$(- \frac{20}{29}, \frac{21}{29})$
48740	Find Trig Functions Using Identities	(( square root of 2)/5,( square root of 23)/5)	$(\frac{\sqrt{2}}{5}, \frac{\sqrt{23}}{5})$
48741	Find Trig Functions Using Identities	sin(theta)=-( square root of 2)/2	$\sin (θ) = - \frac{\sqrt{2}}{2}$
48742	Find Trig Functions Using Identities	sin(theta)=15/17	$\sin (θ) = \frac{15}{17}$
48743	Find Trig Functions Using Identities	cos(theta)=12/13	$\cos (θ) = \frac{12}{13}$
48744	Find Trig Functions Using Identities	sin(x)=1/2	$\sin (x) = \frac{1}{2}$
48745	Find Trig Functions Using Identities	sin(theta)=2/3	$\sin (θ) = \frac{2}{3}$
48746	Find Trig Functions Using Identities	sin(x)cos(x)=1/4	$\sin (x) \cos (x) = \frac{1}{4}$
48747	Convert to a Percentage	6/30	$\frac{6}{30}$
48748	Convert to a Percentage	7/30	$\frac{7}{30}$
48749	Convert to a Percentage	4/54	$\frac{4}{54}$
48750	Find Trig Functions Using Identities	sin(theta)^2(1+cot(theta)^2)=1	$\sin^{2} (θ (1 + \cot^{2} (θ))) = 1$
48751	Find Trig Functions Using Identities	sin(theta)=6/7	$\sin (θ) = \frac{6}{7}$
48752	Determine if Rational	square root of 34	$\sqrt{34}$
48753	Find the Inverse	arctan( square root of 3)	$\arctan (\sqrt{3})$
48754	Find the Sine Given the Point	(-4,-1)	$(- 4, - 1)$
48755	Find the Maximum/Minimum Value	y=3cos(2theta)	$y = 3 \cos (2 θ)$
48756	Find the Sine Given the Point	( square root of 11,-5)	$(\sqrt{11}, - 5)$
48757	Find the Sine Given the Point	(- square root of 5,-2)	$(- \sqrt{5}, - 2)$
48758	Find the Sine Given the Point	(- square root of 7,3)	$(- \sqrt{7}, 3)$
48759	Find the Sine Given the Point	(( square root of 13)/7,6/7)	$(\frac{\sqrt{13}}{7}, \frac{6}{7})$
48760	Find the Roots (Zeros)	x^2+6x+10=0	$x^{2} + 6 x + 10 = 0$
48761	Find the Roots (Zeros)	-(x+1)^2-4=0	$- {(x + 1)}^{2} - 4 = 0$
48762	Find the Roots (Zeros)	y=csc(x)	$y = \csc (x)$
48763	Find the Roots (Zeros)	y=sec(x)	$y = \sec (x)$
48764	Find Where Increasing/Decreasing	f(x)=9cos(x)	$f (x) = 9 \cos (x)$
48765	Find the Supplement	105 degrees	$105 °$
48766	Find the Supplement	44 degrees	$44 °$
48767	Find the Supplement	315 degrees	$315 °$
48768	Find the Supplement	-pi/3	$- \frac{π}{3}$
48769	Find the Supplement	pi/14	$\frac{π}{14}$
48770	Find the Supplement	pi/11	$\frac{π}{11}$
48771	Reduce the Fraction	-( square root of 2)/2	$- \frac{\sqrt{2}}{2}$
48772	Convert to a Simplified Fraction	square root of 119	$\sqrt{119}$
48773	Convert to a Simplified Fraction	square root of 81	$\sqrt{81}$
48774	Find the Complement	61 degrees	$61 °$
48775	Write in Standard Form	( square root of 13-i)^6	${(\sqrt{13} - i)}^{6}$
48776	Write in Standard Form	( square root of 2+i square root of 2)^3	${(\sqrt{2} + i \sqrt{2})}^{3}$
48777	Write in Standard Form	( square root of 3+i)^4	${(\sqrt{3} + i)}^{4}$
48778	Find the Complement	32 degrees	$32 °$
48779	Find the Complement	37 degrees	$37 °$
48780	Convert to a Simplified Fraction	315 degrees	$315 °$
48781	Find the Complement	pi/7	$\frac{π}{7}$
48782	Solve by Factoring	sin(x)^2-cos(x)^2=0	$\sin^{2} (x) - \cos^{2} (x) = 0$
48783	Write in Standard Form	cube root of 27i	$\sqrt[3]{27 i}$
48784	Write in Standard Form	(5+2i)/(4-8i)	$\frac{5 + 2 i}{4 - 8 i}$
48785	Write in Standard Form	2+2i square root of 3	$2 + 2 i \sqrt{3}$
48786	Write in Standard Form	4 square root of 3-4i	$4 \sqrt{3} - 4 i$
48787	Round to the Nearest Tenth	34.638	$34.638$
48788	Find the Derivative - d/dx	(5x^2-7 natural log of x)^2	${(5 x^{2} - 7 \ln (x))}^{2}$
48789	Find the Slope	theta=pi/2	$θ = \frac{π}{2}$
48790	Find the Domain and Range	g(x) = log base 2 of x-2	$g (x) = \log_{2} (x - 2)$
48791	Find the Domain and Range	f(x)=2csc(x/2)	$f (x) = 2 \csc (\frac{x}{2})$
48792	Find the Domain and Range	f(x)=2cos(3x-1)	$f (x) = 2 \cos (3 x - 1)$
48793	Find the Domain and Range	f(x)=2sec(1/2x)	$f (x) = 2 \sec (\frac{1}{2} x)$
48794	Find the Domain and Range	f(x) = log base 2 of x+5	$f (x) = \log_{2} (x + 5)$
48795	Write in Standard Form	9=2y-y^2-6x-x^2	$9 = 2 y - y^{2} - 6 x - x^{2}$
48796	Find All Complex Solutions	1-sin(theta)=2cos(theta)^2	$1 - \sin (θ) = 2 \cos^{2} (θ)$
48797	Find All Complex Solutions	3-3sin(theta)=2cos(theta)^2	$3 - 3 \sin (θ) = 2 \cos^{2} (θ)$
48798	Find All Complex Solutions	4cot(x)+3=7	$4 \cot (x) + 3 = 7$
48799	Find All Complex Solutions	csc(theta)=1/(sin(theta))	$\csc (θ) = \frac{1}{\sin (θ)}$
48800	Find All Complex Solutions	sin(2theta)+sin(4theta)=0	$\sin (2 θ) + \sin (4 θ) = 0$