Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49501	Identify the Polar Equation	r=12sin(theta)+12cos(theta)	$r = 12 \sin (θ) + 12 \cos (θ)$
49502	Identify the Polar Equation	r=2+2cos(theta)	$r = 2 + 2 \cos (θ)$
49503	Identify the Polar Equation	r=6sec(theta)	$r = 6 \sec (θ)$
49504	Find the Concavity	e^x(x-2)	$e^{x} (x - 2)$
49505	Find the Concavity	x^7-7x^6	$x^{7} - 7 x^{6}$
49506	Find the Concavity	x^3-9x^2	$x^{3} - 9 x^{2}$
49507	Find the Concavity	1/4x^4+1/2x^3-3x^2+8	$\frac{1}{4} x^{4} + \frac{1}{2} x^{3} - 3 x^{2} + 8$
49508	Find the Concavity	x^2 natural log of x	$x^{2} \ln (x)$
49509	Find the 5th Term	4/9 , -4/3 , 4	$\frac{4}{9}$ , $- \frac{4}{3}$ , $4$
49510	Find the 6th Term	3 , 6 , 12 , 24	$3$ , $6$ , $12$ , $24$
49511	Find the 5th Term	3 , 6 , 12 , 24	$3$ , $6$ , $12$ , $24$
49512	Find Where Undefined/Discontinuous	(x-3)/(9x^2-25)	$\frac{x - 3}{9 x^{2} - 25}$
49513	Find Where Undefined/Discontinuous	(x^2-4x)/(x^2-16)	$\frac{x^{2} - 4 x}{x^{2} - 16}$
49514	Find the Concavity	x^3-4x^2-3x+2	$x^{3} - 4 x^{2} - 3 x + 2$
49515	Find the Concavity	10x^6-13x^5	$10 x^{6} - 13 x^{5}$
49516	Find the Concavity	(x+2)/(x^2-7x-18)	$\frac{x + 2}{x^{2} - 7 x - 18}$
49517	Find the Concavity	2cos(theta)+cos(theta)^2	$2 \cos (θ) + \cos^{2} (θ)$
49518	Find the Concavity	2x^2-6x^4	$2 x^{2} - 6 x^{4}$
49519	Find the Concavity	(x+2)/(x^2-3x-10)	$\frac{x + 2}{x^{2} - 3 x - 10}$
49520	Find the Concavity	x^3-7x^2-5x+6	$x^{3} - 7 x^{2} - 5 x + 6$
49521	Find the Concavity	x^3-27x+7	$x^{3} - 27 x + 7$
49522	Find the Concavity	64x^2+54/x+2	$64 x^{2} + \frac{54}{x} + 2$
49523	Find the Concavity	x^3-9x^2+24x-18	$x^{3} - 9 x^{2} + 24 x - 18$
49524	Find the Concavity	2X^3-5x-2	$2 X^{3} - 5 x - 2$
49525	Find the Concavity	(x+8)/(x^2-64)	$\frac{x + 8}{x^{2} - 64}$
49526	Find the Concavity	(x+4)/(x^2-3x-28)	$\frac{x + 4}{x^{2} - 3 x - 28}$
49527	Find the Concavity	-x^3+12x^2-48x+8	$- x^{3} + 12 x^{2} - 48 x + 8$
49528	Find the Concavity	(3x^2)/(x^2-9)	$\frac{3 x^{2}}{x^{2} - 9}$
49529	Find the Concavity	25-15x^2+5x^3	$25 - 15 x^{2} + 5 x^{3}$
49530	Find the Concavity	x+8cos(x)	$x + 8 \cos (x)$
49531	Find the Average Rate of Change	f(x)=x^2+x-6 , [-7,-1]	$f (x) = x^{2} + x - 6$ , $[- 7, - 1]$
49532	Find the Average Rate of Change	f(t)=6t^2-5 , [1,1.1]	$f (t) = 6 t^{2} - 5$ , $[1, 1.1]$
49533	Find Where Undefined/Discontinuous	(x^2-5x+6)/(x^2-4)	$\frac{x^{2} - 5 x + 6}{x^{2} - 4}$
49534	Convert to an Improper Fraction	2 5/8	$2 \frac{5}{8}$
49535	Convert to an Improper Fraction	7 1/3	$7 \frac{1}{3}$
49536	Find the Asymptotes	(4x-1)/x	$\frac{4 x - 1}{x}$
49537	Find the Asymptotes	x+ square root of x^2+2x	$x + \sqrt{x^{2} + 2 x}$
49538	Find the Asymptotes	(x^3-10x^2+16x)/(x^2-8x)	$\frac{x^{3} - 10 x^{2} + 16 x}{x^{2} - 8 x}$
49539	Find the Asymptotes	(x^2-9x+20)/(x^2-8x+16)	$\frac{x^{2} - 9 x + 20}{x^{2} - 8 x + 16}$
49540	Find the Asymptotes	(8x)/(x^2-3x)	$\frac{8 x}{x^{2} - 3 x}$
49541	Find the Asymptotes	(x^2-4x+3)/(x-1)	$\frac{x^{2} - 4 x + 3}{x - 1}$
49542	Convert to Logarithmic Form	x=t^w	$x = t^{w}$
49543	Find the Difference Quotient	f(x)=2x^2+3x-9	$f (x) = 2 x^{2} + 3 x - 9$
49544	Find the Difference Quotient	f(x)=7/2x^2	$f (x) = \frac{7}{2} x^{2}$
49545	Find the Asymptotes	(2x)/(x^2-2x-8)	$\frac{2 x}{x^{2} - 2 x - 8}$
49546	Find the Asymptotes	12x^(2/3)-8x	$12 x^{\frac{2}{3}} - 8 x$
49547	Find the Asymptotes	(3+x^4)/(x^2-x^4)	$\frac{3 + x^{4}}{x^{2} - x^{4}}$
49548	Find the Asymptotes	(x^2+8x-5)/(x-5)	$\frac{x^{2} + 8 x - 5}{x - 5}$
49549	Find the Asymptotes	x/(x^2-64)	$\frac{x}{x^{2} - 64}$
49550	Find the Asymptotes	64x^2+54/x+2	$64 x^{2} + \frac{54}{x} + 2$
49551	Find the Asymptotes	(x^3-27)/(x^2-4x+3)	$\frac{x^{3} - 27}{x^{2} - 4 x + 3}$
49552	Find the Asymptotes	(x+5)/(x^2+9x+20)	$\frac{x + 5}{x^{2} + 9 x + 20}$
49553	Find the Asymptotes	(5x^2)/(x^2-9)	$\frac{5 x^{2}}{x^{2} - 9}$
49554	Find the Asymptotes	(\|x-1\|)/(x+4)	$\frac{\| x - 1 \|}{x + 4}$
49555	Find the Asymptotes	(x^2-2x+1)/(x^2-1)	$\frac{x^{2} - 2 x + 1}{x^{2} - 1}$
49556	Find the Asymptotes	(x^2+2x-24)/(x^3-16x)	$\frac{x^{2} + 2 x - 24}{x^{3} - 16 x}$
49557	Find the Asymptotes	4+2/x	$4 + \frac{2}{x}$
49558	Find the Asymptotes	(x^2+100)/x	$\frac{x^{2} + 100}{x}$
49559	Find the Asymptotes	(x^2+2x-3)/(x^2-1)	$\frac{x^{2} + 2 x - 3}{x^{2} - 1}$
49560	Find the Asymptotes	(4x)/(x-2)	$\frac{4 x}{x - 2}$
49561	Find the Asymptotes	(3x^3-1)/(2x-3)	$\frac{3 x^{3} - 1}{2 x - 3}$
49562	Find the Asymptotes	(x+5)/(x^2+13x+40)	$\frac{x + 5}{x^{2} + 13 x + 40}$
49563	Find the Asymptotes	(x^2+5x+4)/(x-3)	$\frac{x^{2} + 5 x + 4}{x - 3}$
49564	Find the Sum of the Series	4/3 , 16/3 , 64/3 , 256/3 , 1024/3	$\frac{4}{3}$ , $\frac{16}{3}$ , $\frac{64}{3}$ , $\frac{256}{3}$ , $\frac{1024}{3}$
49565	Find the Difference Quotient	f(x)=-4x+7	$f (x) = - 4 x + 7$
49566	Convert to Logarithmic Form	j^y=w	$j^{y} = w$
49567	Find the Reference Angle	cos((11pi)/6)	$\cos (\frac{11 π}{6})$
49568	Find the Reference Angle	-25 degrees	$- 25 °$
49569	Find the Reference Angle	tan(390 degrees )	$\tan (390 °)$
49570	Evaluate the Derivative at x=7	f(x)=\|x-7\| , x=7	$f (x) = \| x - 7 \|$ , $x = 7$
49571	Evaluate the Derivative at a=3	f(x)=2x^2-10x+9 , a=3	$f (x) = 2 x^{2} - 10 x + 9$ , $a = 3$
49572	Evaluate the Derivative at a=16	h(x)=x^( square root of x) ; a=16	$h (x) = x^{\sqrt{x}}$ ; $a = 16$
49573	Evaluate the Derivative at a=2	f(x)=x^2+9x , a=2	$f (x) = x^{2} + 9 x$ , $a = 2$
49574	Evaluate the Derivative at a=1/9	f(x)=2/( square root of x) , a=1/9	$f (x) = \frac{2}{\sqrt{x}}$ , $a = \frac{1}{9}$
49575	Find the Antiderivative	(dy)/(dx)=1/(sec(y)^2)	$\frac{d y}{d x} = \frac{1}{\sec^{2} (y)}$
49576	Find the Antiderivative	(dy)/(dx)=y-1	$\frac{d y}{d x} = y - 1$
49577	Find the Antiderivative	(dy)/(dx)=(x^2)/(y^2)	$\frac{d y}{d x} = \frac{x^{2}}{y^{2}}$
49578	Find the Antiderivative	(dy)/(dx)=x-y	$\frac{d y}{d x} = x - y$
49579	Convert to Radical Form	pi/6	$\frac{π}{6}$
49580	Convert to Radical Form	pi/4	$\frac{π}{4}$
49581	Convert to Radical Form	13^(3/2)	$13^{\frac{3}{2}}$
49582	Convert to Radical Form	145^(3/2)	$145^{\frac{3}{2}}$
49583	Find the Reference Angle	765 degrees	$765 °$
49584	Find the Derivative Using Chain Rule - d/dx	integral from x to x^2 of e^(t^2) with respect to t	$\int_{x}^{x^{2}} e^{t^{2}} d t$
49585	Find the Derivative Using Chain Rule - d/dx	4x(2x^5+3)^4	$4 x {(2 x^{5} + 3)}^{4}$
49586	Find the Derivative Using Chain Rule - d/dx	4x^2(6-7x)^4	$4 x^{2} {(6 - 7 x)}^{4}$
49587	Find the Derivative Using Chain Rule - d/dx	f(g(2x^5))	$f (g (2 x^{5}))$
49588	Find the Derivative Using Chain Rule - d/dx	arcsin(3x+1)	$\arcsin (3 x + 1)$
49589	Find the Derivative Using Chain Rule - d/dx	tan(x^2y)	$\tan (x^{2} y)$
49590	Find the Derivative Using Chain Rule - d/dx	y=(2x+7)^8	$y = {(2 x + 7)}^{8}$
49591	Find the Derivative Using Chain Rule - d/dx	y=(4x^2+1)^-50	$y = {(4 x^{2} + 1)}^{- 50}$
49592	Find the Derivative Using Chain Rule - d/dx	y=(5x+8)^11	$y = {(5 x + 8)}^{11}$
49593	Find the Derivative Using Chain Rule - d/dx	y=(cos(x)+3sin(x))^9	$y = {(\cos (x) + 3 \sin (x))}^{9}$
49594	Find the Derivative Using Chain Rule - d/dx	y=(csc(x)+cot(x))^9	$y = {(\csc (x) + \cot (x))}^{9}$
49595	Find the Derivative Using Chain Rule - d/dx	y=(x^4)^10	$y = {(x^{4})}^{10}$
49596	Find the Derivative Using Chain Rule - d/dx	y=cos(x)^11	$y = \cos^{11} (x)$
49597	Find the Derivative Using Chain Rule - d/dx	y=cos(x)^16	$y = \cos^{16} (x)$
49598	Find the Derivative Using Chain Rule - d/dx	y=e^(4e^x)	$y = e^{4 e^{x}}$
49599	Find the Derivative Using Chain Rule - d/dx	y=sin(x)^15	$y = \sin^{15} (x)$
49600	Find the Derivative Using Chain Rule - d/dx	y=x^9f(x)	$y = x^{9} f (x)$