Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
47401	Find the Volume	y=x^3 , y=0 , x=2	$y = x^{3}$ , $y = 0$ , $x = 2$
47402	Find the Volume	y=x^2 , y=1	$y = x^{2}$ , $y = 1$
47403	Find the Volume	y=5x^2 , y=30x-10x^2	$y = 5 x^{2}$ , $y = 30 x - 10 x^{2}$
47404	Find the Volume	y=6(x-2)^2 , y=x^2-4x+9	$y = 6 {(x - 2)}^{2}$ , $y = x^{2} - 4 x + 9$
47405	Find the Volume	y=8-8x^2 , y=0	$y = 8 - 8 x^{2}$ , $y = 0$
47406	Find the Volume	y=1-9x^2 , y=0	$y = 1 - 9 x^{2}$ , $y = 0$
47407	Find the Volume	y=2-2x^2 , y=0	$y = 2 - 2 x^{2}$ , $y = 0$
47408	Find the Function	f'(x)=\|x-2\|	$f' (x) = \| x - 2 \|$
47409	Find the Inflection Points	f(x)=6x^2+6sin(2x)	$f (x) = 6 x^{2} + 6 \sin (2 x)$
47410	Find the Inflection Points	f(x)=3x^2-3sin(2x)	$f (x) = 3 x^{2} - 3 \sin (2 x)$
47411	Find the Inflection Points	f(x)=-2x^4-8x^3+180x^2	$f (x) = - 2 x^{4} - 8 x^{3} + 180 x^{2}$
47412	Find the Inflection Points	f(x)=8sin(x)+8cos(x)	$f (x) = 8 \sin (x) + 8 \cos (x)$
47413	Find the Inflection Points	f(x)=x^2e^(6x)	$f (x) = x^{2} e^{6 x}$
47414	Find the Inflection Points	f(x)=x+3cos(x)	$f (x) = x + 3 \cos (x)$
47415	Find the Inflection Points	f(x)=x+2cos(x)	$f (x) = x + 2 \cos (x)$
47416	Find the Inflection Points	f(x)=x^3-5x^2-8x+6	$f (x) = x^{3} - 5 x^{2} - 8 x + 6$
47417	Find the Inflection Points	f(x)=x^3-6x^2+27x-38	$f (x) = x^{3} - 6 x^{2} + 27 x - 38$
47418	Find the Inflection Points	f(x)=x^3-7x^2-5x+6	$f (x) = x^{3} - 7 x^{2} - 5 x + 6$
47419	Find the Inflection Points	f(x)=x^3-9x^2+22x-12	$f (x) = x^{3} - 9 x^{2} + 22 x - 12$
47420	Find the Inflection Points	f(x)=x^4-32x^2+1	$f (x) = x^{4} - 32 x^{2} + 1$
47421	Find the Inflection Points	f(x)=1/4x^4-1/2x^2	$f (x) = \frac{1}{4} x^{4} - \frac{1}{2} x^{2}$
47422	Find the Inflection Points	f(x)=-3/(x^2+7)	$f (x) = \frac{- 3}{x^{2} + 7}$
47423	Find the Inflection Points	f(x)=12x+12e^x	$f (x) = 12 x + 12 e^{x}$
47424	Find the Reciprocal	pi/4	$\frac{π}{4}$
47425	Find the Equation with a Point and y-intercept	(x+2)^2+(y-3)^2=37 , (-1,-3)	${(x + 2)}^{2} + {(y - 3)}^{2} = 37$ , $(- 1, - 3)$
47426	Find Where Increasing/Decreasing	y=1/((x+1)^2)	$y = \frac{1}{{(x + 1)}^{2}}$
47427	Find Where Increasing/Decreasing	y=-3 natural log of x	$y = - 3 \ln (x)$
47428	Find Where Increasing/Decreasing	y=3x^2-27	$y = 3 x^{2} - 27$
47429	Find the Asymptotes	y=(7e^x)/(e^x-6)	$y = \frac{7 e^{x}}{e^{x} - 6}$
47430	Find the Asymptotes	y=(4x)/(3-2x)	$y = \frac{4 x}{3 - 2 x}$
47431	Find the Asymptotes	y=3/(e^x-2)	$y = \frac{3}{e^{x} - 2}$
47432	Find the Asymptotes	y=(7e^x)/(e^x-3)	$y = \frac{7 e^{x}}{e^{x} - 3}$
47433	Find the Asymptotes	y=(5e^x)/(e^x-5)	$y = \frac{5 e^{x}}{e^{x} - 5}$
47434	Find the Asymptotes	y=(2x-1)/(x+1)	$y = \frac{2 x - 1}{x + 1}$
47435	Find the Asymptotes	49x^2+16y^2+392x-224y+784=0	$49 x^{2} + 16 y^{2} + 392 x - 224 y + 784 = 0$
47436	Find the Asymptotes	y=(x^2+4x+3)/(2x^2+4x-6)	$y = \frac{x^{2} + 4 x + 3}{2 x^{2} + 4 x - 6}$
47437	Find the Asymptotes	y=(x^2+1)/(5x-2x^2)	$y = \frac{x^{2} + 1}{5 x - 2 x^{2}}$
47438	Find the Asymptotes	y=(x^2+1)/(7x-2x^2)	$y = \frac{x^{2} + 1}{7 x - 2 x^{2}}$
47439	Find the Asymptotes	y=2tan(x+pi/4)	$y = 2 \tan (x + \frac{π}{4})$
47440	Evaluate the Derivative at t=6	s=7t^3-t^2 , t=6	$s = 7 t^{3} - t^{2}$ , $t = 6$
47441	Find the x and y Intercepts	x^4+y^2-xy=16	$x^{4} + y^{2} - x y = 16$
47442	Find the x and y Intercepts	y=(4x)/(x^2-9)	$y = \frac{4 x}{x^{2} - 9}$
47443	Find the x and y Intercepts	y=4x^2+12x+8	$y = 4 x^{2} + 12 x + 8$
47444	Find the x and y Intercepts	y=(x+6)(x+8)(x+5)	$y = (x + 6) (x + 8) (x + 5)$
47445	Find the x and y Intercepts	y=9-8x-x^3	$y = 9 - 8 x - x^{3}$
47446	Find the x and y Intercepts	x-y=10	$x - y = 10$
47447	Find the x and y Intercepts	y=x^2+5x-66	$y = x^{2} + 5 x - 66$
47448	Find the x and y Intercepts	y=-x^3+12x-16	$y = - x^{3} + 12 x - 16$
47449	Find the x and y Intercepts	4x-y=9	$4 x - y = 9$
47450	Find the x and y Intercepts	5x-3y=4	$5 x - 3 y = 4$
47451	Find Amplitude, Period, and Phase Shift	y=-3cos(2x+3)	$y = - 3 \cos (2 x + 3)$
47452	Find the Quotient of the Two Functions	P(x)=x^3-216 D(x)=x+6	$P (x) = x^{3} - 216$ $D (x) = x + 6$
47453	Find the Foci	4x^2-9y^2=36	$4 x^{2} - 9 y^{2} = 36$
47454	Find the Second Derivative	s(t)=14t^2	$s (t) = 14 t^{2}$
47455	Find the Second Derivative	f(x)=5x^2-11x-6/(x^4)	$f (x) = 5 x^{2} - 11 x - \frac{6}{x^{4}}$
47456	Find the Second Derivative	h(w)=(w^2+6w+8)^(5/2)	$h (w) = {(w^{2} + 6 w + 8)}^{\frac{5}{2}}$
47457	Find the Second Derivative	f(u)=u/(u^2+6)	$f (u) = \frac{u}{u^{2} + 6}$
47458	Find the Second Derivative	s(t)=2t^3-t^2+8t-8	$s (t) = 2 t^{3} - t^{2} + 8 t - 8$
47459	Find the Second Derivative	f(x)=cos(8x^2)	$f (x) = \cos (8 x^{2})$
47460	Find the Second Derivative	f(x)=4x^2-4sin(2x)	$f (x) = 4 x^{2} - 4 \sin (2 x)$
47461	Find the Second Derivative	f(x)=x^2cos(x)	$f (x) = x^{2} \cos (x)$
47462	Find the Second Derivative	f(x)=5x^-2	$f (x) = 5 x^{- 2}$
47463	Find the Second Derivative	f(x)=2x-4sin(x)	$f (x) = 2 x - 4 \sin (x)$
47464	Find the Second Derivative	f(x)=7e^(-x)-3e^(-7x)	$f (x) = 7 e^{- x} - 3 e^{- 7 x}$
47465	Find the Second Derivative	f(x)=8x^2+3x	$f (x) = 8 x^{2} + 3 x$
47466	Find the Second Derivative	g(t)=4/(5t^6)	$g (t) = \frac{4}{5 t^{6}}$
47467	Find the Second Derivative	g(t)=7/(8t^6)	$g (t) = \frac{7}{8 t^{6}}$
47468	Find the Second Derivative	f(x)=8x+13	$f (x) = 8 x + 13$
47469	Find the Second Derivative	f(x)=4(x^2-1)^2	$f (x) = 4 {(x^{2} - 1)}^{2}$
47470	Find the Second Derivative	s(t)=17t^2	$s (t) = 17 t^{2}$
47471	Find the Second Derivative	f(x)=7sin(x+pi)+cos(2x)	$f (x) = 7 \sin (x + π) + \cos (2 x)$
47472	Find the Second Derivative	f(x)=(5+4x)e^(-5x)	$f (x) = (5 + 4 x) e^{- 5 x}$
47473	Find the Second Derivative	f(x)=6x^2-6sin(2x)	$f (x) = 6 x^{2} - 6 \sin (2 x)$
47474	Find the Second Derivative	f(x)=5x^2-12x-8/(x^4)	$f (x) = 5 x^{2} - 12 x - \frac{8}{x^{4}}$
47475	Find the Second Derivative	f(x)=cx^2-5x^-2	$f (x) = c x^{2} - 5 x^{- 2}$
47476	Find the Second Derivative	f(x)=-4x^2(7x^2)	$f (x) = - 4 x^{2} (7 x^{2})$
47477	Find the Second Derivative	f(x)=12x^2-12sin(2x)	$f (x) = 12 x^{2} - 12 \sin (2 x)$
47478	Find the Second Derivative	f(x)=5x^2-11x-8/(x^3)	$f (x) = 5 x^{2} - 11 x - \frac{8}{x^{3}}$
47479	Find the Second Derivative	s(t)=t^2+4t	$s (t) = t^{2} + 4 t$
47480	Find the Second Derivative	f(x)=(x^2-3x-18)/(x+3)	$f (x) = \frac{x^{2} - 3 x - 18}{x + 3}$
47481	Find the Second Derivative	f(x)=18x^3-36x^2	$f (x) = 18 x^{3} - 36 x^{2}$
47482	Find the Third Derivative	f(x)=2/3x^3-1x^2+5x+1	$f (x) = \frac{2}{3} x^{3} - 1 x^{2} + 5 x + 1$
47483	Find the Third Derivative	f(x)=(x^2-6x-16)/(x+2)	$f (x) = \frac{x^{2} - 6 x - 16}{x + 2}$
47484	Find the Third Derivative	f(x)=x-2sin(x)	$f (x) = x - 2 \sin (x)$
47485	Find the Third Derivative	f(x)=3x^3+7x^2+8x	$f (x) = 3 x^{3} + 7 x^{2} + 8 x$
47486	Find the Third Derivative	f(x)=(x^2-3x-18)/(x+3)	$f (x) = \frac{x^{2} - 3 x - 18}{x + 3}$
47487	Find the Third Derivative	f(x)=5 natural log of 3x+2	$f (x) = 5 \ln (3 x + 2)$
47488	Find the Third Derivative	f(x)=7sin(x+pi)+cos(2x)	$f (x) = 7 \sin (x + π) + \cos (2 x)$
47489	Find the Third Derivative	f(x)=5x^3+4x^2+3x	$f (x) = 5 x^{3} + 4 x^{2} + 3 x$
47490	Find the Third Derivative	f(x)=2x-4sin(x)	$f (x) = 2 x - 4 \sin (x)$
47491	Find the Fourth Derivative	f(x) = natural log of (20x-3)^2	$f (x) = \ln ({(20 x - 3)}^{2})$
47492	Find the Fourth Derivative	S(t)=2t^3-t^2+8t-5	$S (t) = 2 t^{3} - t^{2} + 8 t - 5$
47493	Find the Fourth Derivative	s(t)=14t^2	$s (t) = 14 t^{2}$
47494	Find the Fourth Derivative	f(x)=3x^5-5x^4+4x^3+5x^2+1	$f (x) = 3 x^{5} - 5 x^{4} + 4 x^{3} + 5 x^{2} + 1$
47495	Find the Fourth Derivative	f(x)=3x^5-3x^4+2x^3+5x^2+8	$f (x) = 3 x^{5} - 3 x^{4} + 2 x^{3} + 5 x^{2} + 8$
47496	Split Using Partial Fraction Decomposition	4/(x^2-14x-51)	$\frac{4}{x^{2} - 14 x - 51}$
47497	Split Using Partial Fraction Decomposition	(x^2)/(x^2+x+12)	$\frac{x^{2}}{x^{2} + x + 12}$
47498	Split Using Partial Fraction Decomposition	(x^2)/(x^2+x+72)	$\frac{x^{2}}{x^{2} + x + 72}$
47499	Split Using Partial Fraction Decomposition	x/((x^2-6x+9)(x^2+1))	$\frac{x}{(x^{2} - 6 x + 9) (x^{2} + 1)}$
47500	Split Using Partial Fraction Decomposition	(4x^2-35x+34)/(x^3-3x^2-10x+24)	$\frac{4 x^{2} - 35 x + 34}{x^{3} - 3 x^{2} - 10 x + 24}$