Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
51501	Find the Critical Points	f(x)=14cos(x)+7sin(2x)	$f (x) = 14 \cos (x) + 7 \sin (2 x)$
51502	Find the Critical Points	f(x)=1-5x^2	$f (x) = 1 - 5 x^{2}$
51503	Find the Critical Points	f(x)=36x-6x^2	$f (x) = 36 x - 6 x^{2}$
51504	Find the Critical Points	f(x)=4x^3-8x	$f (x) = 4 x^{3} - 8 x$
51505	Find the Critical Points	f(x)=x^(1/9)+9	$f (x) = x^{\frac{1}{9}} + 9$
51506	Find the Critical Points	f(x)=(14x)/(x^2+49)	$f (x) = \frac{14 x}{x^{2} + 49}$
51507	Find the Critical Points	f(x)=1/3x^3-3x^2+8x	$f (x) = \frac{1}{3} x^{3} - 3 x^{2} + 8 x$
51508	Find the Critical Points	T(t)=-0.2t^2+1.6t+98.7	$T (t) = - 0.2 t^{2} + 1.6 t + 98.7$
51509	Find the Critical Points	f(x)=-x^2-6x-8	$f (x) = - x^{2} - 6 x - 8$
51510	Find the Critical Points	f(x)=-(x^3)/3+25x	$f (x) = - \frac{x^{3}}{3} + 25 x$
51511	Find the Critical Points	f(x)=14x^3+21x^2-84x	$f (x) = 14 x^{3} + 21 x^{2} - 84 x$
51512	Find the Critical Points	g(x)=(8x)/(x^2+16)	$g (x) = \frac{8 x}{x^{2} + 16}$
51513	Find the Critical Points	g(x)=2x^2-64x	$g (x) = 2 x^{2} - 64 x$
51514	Find the Critical Points	g(x)=x^3-2x^2-15x-4	$g (x) = x^{3} - 2 x^{2} - 15 x - 4$
51515	Find the Critical Points	f(x)=9+1/6x-1/2x^2	$f (x) = 9 + \frac{1}{6} x - \frac{1}{2} x^{2}$
51516	Find the Critical Points	f(x)=(x-6)^(4/5)	$f (x) = {(x - 6)}^{\frac{4}{5}}$
51517	Find the Critical Points	f(x)=4x^3-33x^2-36x+8	$f (x) = 4 x^{3} - 33 x^{2} - 36 x + 8$
51518	Find the Critical Points	f(x)=5x^2-3x-1	$f (x) = 5 x^{2} - 3 x - 1$
51519	Find the Critical Points	f(x)=9x^4-24x^3+18x^2+2	$f (x) = 9 x^{4} - 24 x^{3} + 18 x^{2} + 2$
51520	Find the Critical Points	f(x)=x^3-7x^2-24x+6	$f (x) = x^{3} - 7 x^{2} - 24 x + 6$
51521	Find the Critical Points	f(x)=1/3x^3-2x^2+4x-3	$f (x) = \frac{1}{3} x^{3} - 2 x^{2} + 4 x - 3$
51522	Find the Critical Points	f(x)=-5(3x^2-12)^2+4	$f (x) = - 5 {(3 x^{2} - 12)}^{2} + 4$
51523	Find the Critical Points	f(x)=-x^6-3x^5+37x^4+50x^3-300x^2-600x+10000	$f (x) = - x^{6} - 3 x^{5} + 37 x^{4} + 50 x^{3} - 300 x^{2} - 600 x + 10000$
51524	Find the Critical Points	f(x)=x^3-12x+24	$f (x) = x^{3} - 12 x + 24$
51525	Find the Critical Points	g(x)=-3x^3+2x^4	$g (x) = - 3 x^{3} + 2 x^{4}$
51526	Find the Critical Points	f(x)=5+2x^2	$f (x) = 5 + 2 x^{2}$
51527	Find the Critical Points	f(x)=-x^2+6x-9	$f (x) = - x^{2} + 6 x - 9$
51528	Find the Critical Points	f(t)=t square root of 12-t	$f (t) = t \sqrt{12 - t}$
51529	Find the Critical Points	g(t)=\|4t-7\|	$g (t) = \| 4 t - 7 \|$
51530	Find the Critical Points	f(x)=(100x^2+81)/x	$f (x) = \frac{100 x^{2} + 81}{x}$
51531	Find the Critical Points	g(x)=x^3+4x^4	$g (x) = x^{3} + 4 x^{4}$
51532	Find the Critical Points	g(x)=3x^4+18x^2-15	$g (x) = 3 x^{4} + 18 x^{2} - 15$
51533	Find the Critical Points	f(x)=8x^3-18x^2-24x+6	$f (x) = 8 x^{3} - 18 x^{2} - 24 x + 6$
51534	Find the Critical Points	f(x)=(64x^2-25)/x	$f (x) = \frac{64 x^{2} - 25}{x}$
51535	Find the Critical Points	f(x)=4x^3-9x^2-12x+9	$f (x) = 4 x^{3} - 9 x^{2} - 12 x + 9$
51536	Find the Critical Points	f(x)=-8x^2+64x-2	$f (x) = - 8 x^{2} + 64 x - 2$
51537	Find the Critical Points	f(x)=10sin(x)+10 square root of 3cos(x)	$f (x) = 10 \sin (x) + 10 \sqrt{3} \cos (x)$
51538	Find the Critical Points	f(x) = cube root of 4-x^2	$f (x) = \sqrt[3]{4 - x^{2}}$
51539	Find the Critical Points	f(t)=5t^(2/3)+t^(5/3)	$f (t) = 5 t^{\frac{2}{3}} + t^{\frac{5}{3}}$
51540	Find the Critical Points	f(x)=-0.1x^2+1.4x+98.7	$f (x) = - 0.1 x^{2} + 1.4 x + 98.7$
51541	Find the Critical Points	f(x)=x^3e^(-9x)	$f (x) = x^{3} e^{- 9 x}$
51542	Write in y=mx+b Form	2x-5y=10	$2 x - 5 y = 10$
51543	Write in y=mx+b Form	y-6=3/2(x-8)	$y - 6 = \frac{3}{2} (x - 8)$
51544	Write in y=mx+b Form	y-64=3(x-16)	$y - 64 = 3 (x - 16)$
51545	Write in y=mx+b Form	y- square root of 35=(15 square root of 35)/14(x-2)	$y - \sqrt{35} = \frac{15 \sqrt{35}}{14} (x - 2)$
51546	Write in y=mx+b Form	3x-2y=4	$3 x - 2 y = 4$
51547	Write in y=mx+b Form	y-4=26/15(x-1)	$y - 4 = \frac{26}{15} (x - 1)$
51548	Write in y=mx+b Form	y-( square root of 3)/3=2/3(x-pi/6)	$y - \frac{\sqrt{3}}{3} = \frac{2}{3} (x - \frac{π}{6})$
51549	Write in y=mx+b Form	y-pi/4=1/6(x-3)	$y - \frac{π}{4} = \frac{1}{6} (x - 3)$
51550	Write in y=mx+b Form	y-1=45(x-0)	$y - 1 = 45 (x - 0)$
51551	Write in y=mx+b Form	y-pi/4=2(x-pi/2)	$y - \frac{π}{4} = 2 (x - \frac{π}{2})$
51552	Write in y=mx+b Form	y-12=9(x-3)	$y - 12 = 9 (x - 3)$
51553	Write in y=mx+b Form	y-8=12(x-2)	$y - 8 = 12 (x - 2)$
51554	Write in y=mx+b Form	y-4=12(x-1)	$y - 4 = 12 (x - 1)$
51555	Write in y=mx+b Form	y-16=2(x-4)	$y - 16 = 2 (x - 4)$
51556	Write in y=mx+b Form	6x-y+9=0	$6 x - y + 9 = 0$
51557	Write in y=mx+b Form	y-8=9/16(x-7)	$y - 8 = \frac{9}{16} (x - 7)$
51558	Write in y=mx+b Form	y-6=-1/32(x-4)	$y - 6 = - \frac{1}{32} (x - 4)$
51559	Write in y=mx+b Form	x-4y=1	$x - 4 y = 1$
51560	Write in y=mx+b Form	y=7-9/17(x-5)	$y = 7 - \frac{9}{17} (x - 5)$
51561	Write in y=mx+b Form	y-0.5=1(x-0)	$y - 0.5 = 1 (x - 0)$
51562	Write in y=mx+b Form	y-0=-6(x-1)	$y - 0 = - 6 (x - 1)$
51563	Write in y=mx+b Form	y-10=5(x-2)	$y - 10 = 5 (x - 2)$
51564	Write in y=mx+b Form	y-0=4(x-0)	$y - 0 = 4 (x - 0)$
51565	Write in y=mx+b Form	4x-3y=9	$4 x - 3 y = 9$
51566	Write in y=mx+b Form	y-2=9/2(x-1)	$y - 2 = \frac{9}{2} (x - 1)$
51567	Write in y=mx+b Form	y-6=19/6(x-3)	$y - 6 = \frac{19}{6} (x - 3)$
51568	Write in y=mx+b Form	y-5=-12/5(x-12)	$y - 5 = - \frac{12}{5} (x - 12)$
51569	Write in y=mx+b Form	2x-3y=12	$2 x - 3 y = 12$
51570	Write in y=mx+b Form	y-1=3/4(x-1)	$y - 1 = \frac{3}{4} (x - 1)$
51571	Write in y=mx+b Form	y-8=5/16(x-5)	$y - 8 = \frac{5}{16} (x - 5)$
51572	Write in y=mx+b Form	y-7=13(x-1)	$y - 7 = 13 (x - 1)$
51573	Write in y=mx+b Form	y-4=15/2(x-3)	$y - 4 = \frac{15}{2} (x - 3)$
51574	Write in y=mx+b Form	y-pi/12=1/6(x-1)	$y - \frac{π}{12} = \frac{1}{6} (x - 1)$
51575	Write in y=mx+b Form	x-4y=7	$x - 4 y = 7$
51576	Write in y=mx+b Form	y-8=7/8(x-7)	$y - 8 = \frac{7}{8} (x - 7)$
51577	Write in y=mx+b Form	y-5=-8(x-2)	$y - 5 = - 8 (x - 2)$
51578	Write in y=mx+b Form	y-1=-1/6(x-3)	$y - 1 = - \frac{1}{6} (x - 3)$
51579	Write in y=mx+b Form	y-0=-1(x-pi/2)	$y - 0 = - 1 (x - \frac{π}{2})$
51580	Write in y=mx+b Form	7x-10y=-2	$7 x - 10 y = - 2$
51581	Write in y=mx+b Form	y-7=-1/18(x-3)	$y - 7 = - \frac{1}{18} (x - 3)$
51582	Write in y=mx+b Form	y-0=3(x-3)	$y - 0 = 3 (x - 3)$
51583	Write in y=mx+b Form	-x+4y=4	$- x + 4 y = 4$
51584	Write in y=mx+b Form	y-0=1(x-1)	$y - 0 = 1 (x - 1)$
51585	Write in y=mx+b Form	y-3=7/4(x-2)	$y - 3 = \frac{7}{4} (x - 2)$
51586	Write in y=mx+b Form	y-2=-1/2(x-8)	$y - 2 = - \frac{1}{2} (x - 8)$
51587	Write in y=mx+b Form	4x+2y=8	$4 x + 2 y = 8$
51588	Find the Other Trig Values in Quadrant IV	sin(theta)<0 , cot(theta)>0	$\sin (θ) < 0$ , $\cot (θ) > 0$
51589	Find the Other Trig Values in Quadrant IV	cos(x)=-1/3 , pi<x<(3pi)/2	$\cos (x) = - \frac{1}{3}$ , $π < x < \frac{3 π}{2}$
51590	Find the Other Trig Values in Quadrant IV	cos(theta)=5/11	$\cos (θ) = \frac{5}{11}$
51591	Find the Other Trig Values in Quadrant IV	cot(theta)=-2/3	$\cot (θ) = - \frac{2}{3}$
51592	Find the Other Trig Values in Quadrant IV	sec(theta)=13/5	$\sec (θ) = \frac{13}{5}$
51593	Find the Other Trig Values in Quadrant IV	sec(theta)=9	$\sec (θ) = 9$
51594	Find the Other Trig Values in Quadrant IV	tan(theta)<0 , sin(theta)<theta	$\tan (θ) < 0$ , $\sin (θ) < θ$
51595	Find the Other Trig Values in Quadrant IV	2cos(theta)-1=0	$2 \cos (θ) - 1 = 0$
51596	Find the Other Trig Values in Quadrant IV	cos(x)sin(x)-sin(x)=0	$\cos (x) \sin (x) - \sin (x) = 0$
51597	Find the Other Trig Values in Quadrant IV	cos(pi/12)	$\cos (\frac{π}{12})$
51598	Find the Other Trig Values in Quadrant IV	cot(8/17)	$\cot (\frac{8}{17})$
51599	Find the Other Trig Values in Quadrant IV	csc(theta)=-17/8	$\csc (θ) = - \frac{17}{8}$
51600	Find the Other Trig Values in Quadrant IV	cos(theta*165 degrees )	$\cos (θ \cdot 165 °)$