Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
52701	Describe the Transformation	g(x)=x-2	$g (x) = x - 2$
52702	Find the Asymptotes	y=(x+9)/(x-6)	$y = \frac{x + 9}{x - 6}$
52703	Find the Asymptotes	y=(x+9)/x	$y = \frac{x + 9}{x}$
52704	Find the Asymptotes	y=5csc(3/2x+pi/2)-2	$y = 5 \csc (\frac{3}{2} x + \frac{π}{2}) - 2$
52705	Find the Asymptotes	y=3+ natural log of -x	$y = 3 + \ln (- x)$
52706	Find the Asymptotes	y=(x^2+3)/(7x-4x^2)	$y = \frac{x^{2} + 3}{7 x - 4 x^{2}}$
52707	Find the Asymptotes	y=e^(x+2)	$y = e^{x + 2}$
52708	Find the Asymptotes	y=(3e^x)/(e^x-6)	$y = \frac{3 e^{x}}{e^{x} - 6}$
52709	Find the Asymptotes	y=(6e^x)/(e^x-7)	$y = \frac{6 e^{x}}{e^{x} - 7}$
52710	Find the Asymptotes	y=1/(1-sin(x))	$y = \frac{1}{1 - \sin (x)}$
52711	Find the Asymptotes	16x^2-y^2-96x-4y+124=0	$16 x^{2} - y^{2} - 96 x - 4 y + 124 = 0$
52712	Find the Asymptotes	y=6/(x-8)	$y = \frac{6}{x - 8}$
52713	Find the Asymptotes	y=(4e^x)/(e^x-4)	$y = \frac{4 e^{x}}{e^{x} - 4}$
52714	Find the Asymptotes	y=sec(theta)	$y = \sec (θ)$
52715	Find the Asymptotes	y=(4x^2-11x+6)/(x^2-4)	$y = \frac{4 x^{2} - 11 x + 6}{x^{2} - 4}$
52716	Find the Asymptotes	y=(6e^x)/(e^x-5)	$y = \frac{6 e^{x}}{e^{x} - 5}$
52717	Find the Asymptotes	y=(8x^2+x-4)/(x^2+x-42)	$y = \frac{8 x^{2} + x - 4}{x^{2} + x - 42}$
52718	Find the Asymptotes	y=(x^3+2)/(27-8x^3)	$y = \frac{x^{3} + 2}{27 - 8 x^{3}}$
52719	Find the Asymptotes	y=x square root of 7-x	$y = x \sqrt{7 - x}$
52720	Find the Asymptotes	y=cot(x+pi/4)	$y = \cot (x + \frac{π}{4})$
52721	Find the Asymptotes	y=(2e^x)/(e^x-8)	$y = \frac{2 e^{x}}{e^{x} - 8}$
52722	Find the Asymptotes	y=(4x+5)/(x-2)	$y = \frac{4 x + 5}{x - 2}$
52723	Find the Asymptotes	y=(5+2^x)/(1-2^x)	$y = \frac{5 + 2^{x}}{1 - 2^{x}}$
52724	Find the Asymptotes	y=(7e^x)/(e^x-5)	$y = \frac{7 e^{x}}{e^{x} - 5}$
52725	Find the Asymptotes	y=(x^4)/(x^4-4x+3)	$y = \frac{x^{4}}{x^{4} - 4 x + 3}$
52726	Find the Asymptotes	36x^2+25y^2+360x-300y+900=0	$36 x^{2} + 25 y^{2} + 360 x - 300 y + 900 = 0$
52727	Find the Asymptotes	y=(2e^x)/(e^x-6)	$y = \frac{2 e^{x}}{e^{x} - 6}$
52728	Find the Asymptotes	y=(2x^2+2x-1)/(3x^2+9x+10)	$y = \frac{2 x^{2} + 2 x - 1}{3 x^{2} + 9 x + 10}$
52729	Find the Asymptotes	y=tan(pix)	$y = \tan (π x)$
52730	Find the Asymptotes	y=(5x)/(x-3)	$y = \frac{5 x}{x - 3}$
52731	Find the Asymptotes	y=(9x^2+x-6)/(x^2+x-56)	$y = \frac{9 x^{2} + x - 6}{x^{2} + x - 56}$
52732	Evaluate the Derivative at x=9	y = square root of x+1/( square root of x) , x=9	$y = \sqrt{x} + \frac{1}{\sqrt{x}}$ , $x = 9$
52733	Evaluate the Derivative at q=25	c=-2+1000/q , q=25	$c = - 2 + \frac{1000}{q}$ , $q = 25$
52734	Find the Asymptotes	y = log base 2 of x-3	$y = \log_{2} (x - 3)$
52735	Evaluate the Derivative at x=5	y=(2x^2-5x+4)(2-5x-4x^2) , x=5	$y = (2 x^{2} - 5 x + 4) (2 - 5 x - 4 x^{2})$ , $x = 5$
52736	Evaluate the Derivative at x=a	y=7+5x^2-2x^3 , x=a	$y = 7 + 5 x^{2} - 2 x^{3}$ , $x = a$
52737	Evaluate the Derivative at x=2	(10x-4)^(1/2) , x=2	${(10 x - 4)}^{\frac{1}{2}}$ , $x = 2$
52738	Evaluate the Derivative at a=5	y=(4x)/(x-3) ; a=5	$y = \frac{4 x}{x - 3}$ ; $a = 5$
52739	Evaluate the Derivative at x=p/2	y=2sin(x)cos(x) ; x=pi/2	$y = 2 \sin (x) \cos (x)$ ; $x = \frac{π}{2}$
52740	Evaluate the Derivative at x=3	y=arctan(-4x) , x=3	$y = \arctan (- 4 x)$ , $x = 3$
52741	Evaluate the Derivative at x=0	xy+6e^y=6e , x=0	$x y + 6 e^{y} = 6 e$ , $x = 0$
52742	Evaluate the Derivative at a=0	y=9+1x+11xe^x ; a=0	$y = 9 + 1 x + 11 x e^{x}$ ; $a = 0$
52743	Evaluate the Derivative at 0<x<2p	sin(x)^2+cos(x) , 0<x<2pi	$\sin^{2} (x) + \cos (x)$ , $0 < x < 2 π$
52744	Evaluate the Derivative at x>0	y=arccsc(x^11+1) , x>0	$y = arccsc (x^{11} + 1)$ , $x > 0$
52745	Evaluate the Derivative at p/4=x=p/2	y = natural log of sin(x) ; pi/4<=x<=pi/2	$y = \ln (\sin (x))$ ; $\frac{π}{4} \leq x \leq \frac{π}{2}$
52746	Evaluate the Derivative at x=3	y=(3x^2-x+2)(1-x-4x^2) , x=3	$y = (3 x^{2} - x + 2) (1 - x - 4 x^{2})$ , $x = 3$
52747	Find the Distance Between Two Points	(-2,5) , (-3,7)	$(- 2, 5)$ , $(- 3, 7)$
52748	Find the Distance Between Two Points	(4.2,-9.3) , (-9.7,7.3)	$(4.2, - 9.3) (- 9.7, 7.3)$
52749	Convert to Rectangular	x=3t+2 , y=2t+3	$x = 3 t + 2$ , $y = 2 t + 3$
52750	Find Trig Functions Using Identities	cos(theta)=1/2 , cot(theta)<0	$\cos (θ) = \frac{1}{2}$ , $\cot (θ) < 0$
52751	Determine if Rational	-2 square root of 3	$- 2 \sqrt{3}$
52752	Determine if Rational	- square root of 30	$- \sqrt{30}$
52753	Determine if Rational	square root of 33	$\sqrt{33}$
52754	Find the Normal Line at @POINT	6xy+pisin(y)=83pi , (4,(7pi)/2)	$6 x y + π \sin (y) = 83 π$ , $(4, \frac{7 π}{2})$
52755	Find the Normal Line at @POINT	x^2+xy-y^2=-11 , (2,5)	$x^{2} + x y - y^{2} = - 11$ , $(2, 5)$
52756	Find the Normal Line at @POINT	y=4sin(pix+y) , (-1,0)	$y = 4 \sin (π x + y)$ , $(- 1, 0)$
52757	Find the Normal Line at @POINT	y=3sin(pix+y) , (1,0)	$y = 3 \sin (π x + y)$ , $(1, 0)$
52758	Find the Normal Line at @POINT	y=x-x^2 , (1,0)	$y = x - x^{2}$ , $(1, 0)$
52759	Find the Normal Line at @POINT	x^2y^2=9 , (-1,-3)	$x^{2} y^{2} = 9$ , $(- 1, - 3)$
52760	Find the Normal Line at @POINT	x^2+xy-y^2=-11 (1,4)	$x^{2} + x y - y^{2} = - 11$ $(1, 4)$
52761	Find the Horizontal Tangent Line	4x+5y^2-y=3	$4 x + 5 y^{2} - y = 3$
52762	Find the Horizontal Tangent Line	y=\|x^2-16\|	$y = \| x^{2} - 16 \|$
52763	Find the Horizontal Tangent Line	y=2x+4sin(x)	$y = 2 x + 4 \sin (x)$
52764	Find the Horizontal Tangent Line	y=3x-6sin(x)	$y = 3 x - 6 \sin (x)$
52765	Find the Horizontal Tangent Line	y=4x+8cos(x)	$y = 4 x + 8 \cos (x)$
52766	Find the Horizontal Tangent Line	y=3x+6sin(x)	$y = 3 x + 6 \sin (x)$
52767	Find the Horizontal Tangent Line	y=-9x+e^x	$y = - 9 x + e^{x}$
52768	Find the Horizontal Tangent Line	y=x^4+3e^x	$y = x^{4} + 3 e^{x}$
52769	Find the Horizontal Tangent Line	y=x^4+8e^x	$y = x^{4} + 8 e^{x}$
52770	Find the Horizontal Tangent Line	y=x-2cos(x)	$y = x - 2 \cos (x)$
52771	Convert to a Percentage	0.0029	$0.0029$
52772	Convert to a Percentage	3/15	$\frac{3}{15}$
52773	Find the Horizontal Tangent Line	y=6x+12sin(x)	$y = 6 x + 12 \sin (x)$
52774	Find the Horizontal Tangent Line	y=6x-12sin(x)	$y = 6 x - 12 \sin (x)$
52775	Find the Horizontal Tangent Line	y=5x+10sin(x)	$y = 5 x + 10 \sin (x)$
52776	Find the Horizontal Tangent Line	y=x^3+4x^2-11x+11	$y = x^{3} + 4 x^{2} - 11 x + 11$
52777	Find the Horizontal Tangent Line	y=-8x+e^x	$y = - 8 x + e^{x}$
52778	Find the Horizontal Tangent Line	y=2cos(x)+cos(x)^2	$y = 2 \cos (x) + \cos^{2} (x)$
52779	Find the Horizontal Tangent Line	16x^2+y^2-32x+8y+16=0	$16 x^{2} + y^{2} - 32 x + 8 y + 16 = 0$
52780	Find the Horizontal Tangent Line	2x^2+xy+y^2=14	$2 x^{2} + x y + y^{2} = 14$
52781	Find the Horizontal Tangent Line	x^2+y^2-2x-4y=4	$x^{2} + y^{2} - 2 x - 4 y = 4$
52782	Find the Horizontal Tangent Line	x^2+9y^2=81	$x^{2} + 9 y^{2} = 81$
52783	Find the Horizontal Tangent Line	81x^2+25y^2+810x-450y+2025=0	$81 x^{2} + 25 y^{2} + 810 x - 450 y + 2025 = 0$
52784	Convert to a Percentage	1/14	$\frac{1}{14}$
52785	Convert to a Percentage	3/54	$\frac{3}{54}$
52786	Convert to a Percentage	0.81	$0.81$
52787	Determine if Rational	- square root of 13	$- \sqrt{13}$
52788	Determine if Rational	3pi	$3 π$
52789	Convert to Rectangular Coordinates	(5,(4pi)/3)	$(5, \frac{4 π}{3})$
52790	Convert to Rectangular Coordinates	(5,180 degrees )	$(5, 180 °)$
52791	Convert to Rectangular Coordinates	(4 square root of 3,(2pi)/3)	$(4 \sqrt{3}, \frac{2 π}{3})$
52792	Convert to Rectangular Coordinates	(1,pi)	$(1, π)$
52793	Convert to Rectangular Coordinates	(2,(7pi)/3)	$(2, \frac{7 π}{3})$
52794	Solve by Completing the Square	x^2+6x-16=0	$x^{2} + 6 x - 16 = 0$
52795	Solve by Completing the Square	x^2+8x=65	$x^{2} + 8 x = 65$
52796	Solve by Completing the Square	x^2-12x+40=0	$x^{2} - 12 x + 40 = 0$
52797	Solve by Completing the Square	x^2-3x-7=0	$x^{2} - 3 x - 7 = 0$
52798	Solve by Completing the Square	x^2-8x=24	$x^{2} - 8 x = 24$
52799	Solve by Completing the Square	-9x^2+18x=11	$- 9 x^{2} + 18 x = 11$
52800	Solve by Completing the Square	x^2+10x+25=0	$x^{2} + 10 x + 25 = 0$