Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
42701	Find the Asymptotes	f(x)=(x-1)/(3x)	$f (x) = \frac{x - 1}{3 x}$
42702	Find the Asymptotes	f(x)=(x+1)/(6x^2-7x-3)	$f (x) = \frac{x + 1}{6 x^{2} - 7 x - 3}$
42703	Find the Asymptotes	f(x)=(x^2-8x+12)/(x+3)	$f (x) = \frac{x^{2} - 8 x + 12}{x + 3}$
42704	Find the Asymptotes	f(x)=(-x^2-2x+3)/(x-2)	$f (x) = \frac{- x^{2} - 2 x + 3}{x - 2}$
42705	Find the Asymptotes	f(x)=(30x^2-2x+5)/(10x^2-4)	$f (x) = \frac{30 x^{2} - 2 x + 5}{10 x^{2} - 4}$
42706	Find the Asymptotes	f(x)=(2x^2-4)/(3x^2+6x-45)	$f (x) = \frac{2 x^{2} - 4}{3 x^{2} + 6 x - 45}$
42707	Find the Asymptotes	f(x)=(24x^2+63x+34)/(4x+3)	$f (x) = \frac{24 x^{2} + 63 x + 34}{4 x + 3}$
42708	Find the Asymptotes	f(x)=(15x)/(3x^2+1)	$f (x) = \frac{15 x}{3 x^{2} + 1}$
42709	Find the Asymptotes	f(x)=5/(x-3)	$f (x) = \frac{5}{x - 3}$
42710	Find the Asymptotes	f(x)=(5x^4)/(4x^4+7)	$f (x) = \frac{5 x^{4}}{4 x^{4} + 7}$
42711	Find the Asymptotes	f(x)=-6/(x-6)	$f (x) = \frac{- 6}{x - 6}$
42712	Find the Asymptotes	f(x)=(6x)/(x^2-16)	$f (x) = \frac{6 x}{x^{2} - 16}$
42713	Find the Asymptotes	f(x)=(6x)/(x^2-4)	$f (x) = \frac{6 x}{x^{2} - 4}$
42714	Find the Asymptotes	f(x)=(8x^3-4x-3)/(5x^2-20)	$f (x) = \frac{8 x^{3} - 4 x - 3}{5 x^{2} - 20}$
42715	Find the Asymptotes	f(x)=x/(x-4)	$f (x) = \frac{x}{x - 4}$
42716	Find the Asymptotes	f(x)=(4/3)^x	$f (x) = {(\frac{4}{3})}^{x}$
42717	Find the Asymptotes	f(x)=1/(2x-1)	$f (x) = \frac{1}{2 x - 1}$
42718	Expand the Trigonometric Expression	tan(pi-theta)	$\tan (π - θ)$
42719	Expand the Trigonometric Expression	7sin(x)^2cos(x)^2	$7 \sin^{2} (x) \cos^{2} (x)$
42720	Expand the Trigonometric Expression	8cos(x)^2	$8 \cos^{2} (x)$
42721	Convert to Degrees, Minutes, and Seconds	-25.49 degrees	$- 25.49 °$
42722	Find the Vertex	f(x)=2x^2+3x-4	$f (x) = 2 x^{2} + 3 x - 4$
42723	Find All Complex Solutions	2cos(theta)-1=0	$2 \cos (θ) - 1 = 0$
42724	Find All Complex Solutions	x^4-2x^3+6x^2-18x-27=0	$x^{4} - 2 x^{3} + 6 x^{2} - 18 x - 27 = 0$
42725	Find All Complex Solutions	x^2-2x+17=0	$x^{2} - 2 x + 17 = 0$
42726	Find All Complex Solutions	x^2+4x+5=0	$x^{2} + 4 x + 5 = 0$
42727	Find All Complex Solutions	cos(x)=-( square root of 2)/2	$\cos (x) = - \frac{\sqrt{2}}{2}$
42728	Find All Complex Solutions	9x^2-6x+5=0	$9 x^{2} - 6 x + 5 = 0$
42729	Find All Complex Solutions	tan(x)+1=0	$\tan (x) + 1 = 0$
42730	Find All Complex Solutions	sin(2theta)+sin(theta)=0	$\sin (2 θ) + \sin (θ) = 0$
42731	Find All Complex Solutions	csc(theta)=2	$\csc (θ) = 2$
42732	Convert Degrees, Minutes, Seconds to Decimal Degrees	-128 degrees 30'45''	$- 128 ° 30' 45''$
42733	Convert Degrees, Minutes, Seconds to Decimal Degrees	39 degrees 46'51''	$39 ° 46' 51''$
42734	Convert Degrees, Minutes, Seconds to Decimal Degrees	42 degrees 30'58''	$42 ° 30' 58''$
42735	Find the Roots (Zeros)	x^4-2x^3+8x^2-32x-128=0	$x^{4} - 2 x^{3} + 8 x^{2} - 32 x - 128 = 0$
42736	Find the Roots (Zeros)	x^4-2x^3+10x^2-50x-375=0	$x^{4} - 2 x^{3} + 10 x^{2} - 50 x - 375 = 0$
42737	Find the Roots (Zeros)	y=16x^4-96x^3+216x^2-216x+81	$y = 16 x^{4} - 96 x^{3} + 216 x^{2} - 216 x + 81$
42738	Find the Roots (Zeros)	25x^3+50x^2-4x-8=0	$25 x^{3} + 50 x^{2} - 4 x - 8 = 0$
42739	Find the Roots (Zeros)	3x^3-2x^2-15x+10=0	$3 x^{3} - 2 x^{2} - 15 x + 10 = 0$
42740	Find the Roots (Zeros)	4x^5-16x^4+17x^3-19x^2+13x-3=0	$4 x^{5} - 16 x^{4} + 17 x^{3} - 19 x^{2} + 13 x - 3 = 0$
42741	Find the Roots (Zeros)	x^2e^x-16e^x	$x^{2} e^{x} - 16 e^{x}$
42742	Find the Roots (Zeros)	x^3-3x^2+9x-27	$x^{3} - 3 x^{2} + 9 x - 27$
42743	Find the Roots (Zeros)	x^3+7x^2+14x+8	$x^{3} + 7 x^{2} + 14 x + 8$
42744	Find the Roots (Zeros)	x^3+3x^2-33x-35	$x^{3} + 3 x^{2} - 33 x - 35$
42745	Find the Roots (Zeros)	5.152x^3-143x^2+1102x-1673	$5.152 x^{3} - 143 x^{2} + 1102 x - 1673$
42746	Find the Roots (Zeros)	7x^4-6x^3+62x^2-54x-9	$7 x^{4} - 6 x^{3} + 62 x^{2} - 54 x - 9$
42747	Find the Roots (Zeros)	-8-8 square root of 3i	$- 8 - 8 \sqrt{3 i}$
42748	Find the Roots (Zeros)	x^3-8x^2-x+8	$x^{3} - 8 x^{2} - x + 8$
42749	Find the Roots (Zeros)	x^3-4x^2+16x-64	$x^{3} - 4 x^{2} + 16 x - 64$
42750	Find Where Increasing/Decreasing	f(x)=e^x	$f (x) = e^{x}$
42751	Eliminate the Parameter	x=5cos(t) , y=5sin(t)	$x = 5 \cos (t)$ , $y = 5 \sin (t)$
42752	Eliminate the Parameter	x=3t , y=t^2	$x = 3 t$ , $y = t^{2}$
42753	Find the Axis of Symmetry	y=4x^2-8x-4	$y = 4 x^{2} - 8 x - 4$
42754	Find the Axis of Symmetry	y^2=-15x	$y^{2} = - 15 x$
42755	Find the x and y Intercepts	x^4-2x^3+x^2	$x^{4} - 2 x^{3} + x^{2}$
42756	Find the x and y Intercepts	(7x)/(x^2-16)	$\frac{7 x}{x^{2} - 16}$
42757	Find Amplitude, Period, and Phase Shift	f(x)=1/2sin(1/3x+pi/2)	$f (x) = \frac{1}{2} \sin (\frac{1}{3} x + \frac{π}{2})$
42758	Find the Vertex	f(x)=x^2-1	$f (x) = x^{2} - 1$
42759	Find the Vertex	f(x)=x^2+4x+4	$f (x) = x^{2} + 4 x + 4$
42760	Find the Vertex	f(x)=(x-2)^2+3	$f (x) = {(x - 2)}^{2} + 3$
42761	Find the x and y Intercepts	f(x)=x^2-6x+11	$f (x) = x^{2} - 6 x + 11$
42762	Find the x and y Intercepts	t(x)=(x^2-3x-18)/(x-9)	$t (x) = \frac{x^{2} - 3 x - 18}{x - 9}$
42763	Find the x and y Intercepts	r(x)=(2x^2+14x-36)/(x^2+x-12)	$r (x) = \frac{2 x^{2} + 14 x - 36}{x^{2} + x - 12}$
42764	Find the x and y Intercepts	f(x)=2x-4	$f (x) = 2 x - 4$
42765	Find the x and y Intercepts	f(x)=-3x^2+6x-2	$f (x) = - 3 x^{2} + 6 x - 2$
42766	Find the x and y Intercepts	f(x)=(x^2-49)/x	$f (x) = \frac{x^{2} - 49}{x}$
42767	Find the x and y Intercepts	f(x)=(x^2-7x+10)/(x+2)	$f (x) = \frac{x^{2} - 7 x + 10}{x + 2}$
42768	Find the x and y Intercepts	f(x)=(6x)/(x-4)	$f (x) = \frac{6 x}{x - 4}$
42769	Find the Value Using the Unit Circle	tan(360 degrees )	$\tan (360 °)$
42770	Find the Value Using the Unit Circle	120 degrees	$120 °$
42771	Find the Value Using the Unit Circle	225 degrees	$225 °$
42772	Find the Value Using the Unit Circle	315 degrees	$315 °$
42773	Find the Value Using the Unit Circle	(7pi)/3	$\frac{7 π}{3}$
42774	Find the Value Using the Unit Circle	-(5pi)/2	$- \frac{5 π}{2}$
42775	Find the Other Trig Values in Quadrant II	cot(theta)=-5/12	$\cot (θ) = - \frac{5}{12}$
42776	Find the Other Trig Values in Quadrant II	sin(theta)=9/41	$\sin (θ) = \frac{9}{41}$
42777	Find the Other Trig Values in Quadrant II	tan(theta)=-3/7	$\tan (θ) = - \frac{3}{7}$
42778	Find the Other Trig Values in Quadrant III	sec(theta)=-9/4	$\sec (θ) = - \frac{9}{4}$
42779	Find the Other Trig Values in Quadrant IV	sin(theta)=-12/13	$\sin (θ) = - \frac{12}{13}$
42780	Multiply the Matrices	[[1,-4],[-5,-6]]*(-2[[4,-4,-4,-5],[-1,-1,2,-2]])	$[\begin{array}{c} 1 & - 4 \\ - 5 & - 6 \end{array}] \cdot (- 2 [\begin{array}{c} 4 & - 4 & - 4 & - 5 \\ - 1 & - 1 & 2 & - 2 \end{array}])$
42781	Reorder in Ascending Order	x^2-4	$x^{2} - 4$
42782	Find the Symmetry	f(x)=x^4-4x^3+4x^2	$f (x) = x^{4} - 4 x^{3} + 4 x^{2}$
42783	Find the Inverse	y = square root of x+5	$y = \sqrt{x + 5}$
42784	Simplify/Condense	4 log of x-6 log of 2	$4 \log (x) - 6 \log (2)$
42785	Simplify	-5(3,4)-3(7,-8)	$- 5 (3, 4) - 3 (7, - 8)$
42786	Simplify/Condense	2sin(x)cos(x)^2-sin(x)cos(x)-3sin(x)	$2 \sin (x) \cos^{2} (x) - \sin (x) \cos (x) - 3 \sin (x)$
42787	Simplify/Condense	2 natural log of x-6 natural log of y	$2 \ln (x) - 6 \ln (y)$
42788	Simplify/Condense	log base 6 of 8+ log base 6 of 5-2 log base 6 of 2	$\log_{6} (8) + \log_{6} (5) - 2 \log_{6} (2)$
42789	Simplify/Condense	csc(x)^3-csc(x)cot(x)^2	$\csc^{3} (x) - \csc (x) \cot^{2} (x)$
42790	Simplify/Condense	log of 9+3 log of 2- log of 3	$\log (9) + 3 \log (2) - \log (3)$
42791	Simplify/Condense	tan(x)+cot(x)	$\tan (x) + \cot (x)$
42792	Simplify/Condense	tan(arcsin(x))	$\tan (\arcsin (x))$
42793	Simplify/Condense	3 log base 2 of 5x+6-1/2 log base 2 of x-4	$3 \log_{2} (5 x + 6) - \frac{1}{2} \log_{2} (x - 4)$
42794	Find the Inverse	y=x^2-1	$y = x^{2} - 1$
42795	Find the Inverse	y=2x^2-5	$y = 2 x^{2} - 5$
42796	Find the Inverse	y=-3/4x+5	$y = - \frac{3}{4} x + 5$
42797	Find the Inverse	w=50+2.3(h-60)	$w = 50 + 2.3 (h - 60)$
42798	Simplify/Condense	1/3( log base 2 of x- log base 2 of y)	$\frac{1}{3} (\log_{2} (x) - \log_{2} (y))$
42799	Simplify/Condense	1/2( log base 2 of 4+ log base 2 of 16)- log base 2 of 2	$\frac{1}{2} (\log_{2} (4) + \log_{2} (16)) - \log_{2} (2)$
42800	Simplify/Condense	(cot(t))/(csc(t)-sin(t))	$\frac{\cot (t)}{\csc (t) - \sin (t)}$