Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
158101	Determine the Possible Number of Real Roots	f(x)=20x^4+x^3+8x^2+x-12	$f (x) = 20 x^{4} + x^{3} + 8 x^{2} + x - 12$
158102	Determine the Possible Number of Real Roots	f(x)=3x^6+2x^5+x^4-2x^3	$f (x) = 3 x^{6} + 2 x^{5} + x^{4} - 2 x^{3}$
158103	Determine the Possible Number of Real Roots	p(x)=(2x^4-5x^3+10x-25)(x^3+5)	$p (x) = (2 x^{4} - 5 x^{3} + 10 x - 25) (x^{3} + 5)$
158104	Determine the Possible Number of Real Roots	S(w)=w^4-w^3-11w^2-w-12	$S (w) = w^{4} - w^{3} - 11 w^{2} - w - 12$
158105	Find Amplitude, Period, and Phase Shift	f(t)=5cos(6t)	$f (t) = 5 \cos (6 t)$
158106	Find Amplitude, Period, and Phase Shift	f(t)=3sin(1/2x)-1	$f (t) = 3 \sin (\frac{1}{2} x) - 1$
158107	Find Amplitude, Period, and Phase Shift	f(t)=-2/3tan(3t-3pi)	$f (t) = - \frac{2}{3} \tan (3 t - 3 π)$
158108	Find Amplitude, Period, and Phase Shift	f(t)=-0.3sin(t/3)	$f (t) = - 0.3 \sin (\frac{t}{3})$
158109	Find Amplitude, Period, and Phase Shift	f(x)=1.2cos(0.5x)	$f (x) = 1.2 \cos (0.5 x)$
158110	Find Amplitude, Period, and Phase Shift	f(x)=-2sin((pix)/3)	$f (x) = - 2 \sin (\frac{π x}{3})$
158111	Find Amplitude, Period, and Phase Shift	f(x)=3cos(0/2)	$f (x) = 3 \cos (\frac{0}{2})$
158112	Find Amplitude, Period, and Phase Shift	f(x)=2sin((3x)/4+1/4)	$f (x) = 2 \sin (\frac{3 x}{4} + \frac{1}{4})$
158113	Find Amplitude, Period, and Phase Shift	g(x)=2sin(4x)	$g (x) = 2 \sin (4 x)$
158114	Find Amplitude, Period, and Phase Shift	g(x)=-2sin(x)	$g (x) = - 2 \sin (x)$
158115	Find Amplitude, Period, and Phase Shift	h(t)=1.5cos(pi/2t)+2	$h (t) = 1.5 \cos (\frac{π}{2} t) + 2$
158116	Find Amplitude, Period, and Phase Shift	h(x)=4sin(4x)-2	$h (x) = 4 \sin (4 x) - 2$
158117	Find Amplitude, Period, and Phase Shift	f(x)=tan(3x)-6	$f (x) = \tan (3 x) - 6$
158118	Find Amplitude, Period, and Phase Shift	f(x)=4cos(1/2x+pi/2)	$f (x) = 4 \cos (\frac{1}{2} x + \frac{π}{2})$
158119	Find Amplitude, Period, and Phase Shift	f(x)=4sin(x)-4	$f (x) = 4 \sin (x) - 4$
158120	Find Amplitude, Period, and Phase Shift	f(x)=5cos(3x+1)-2	$f (x) = 5 \cos (3 x + 1) - 2$
158121	Find Amplitude, Period, and Phase Shift	f(x)=-cos(3x)	$f (x) = - \cos (3 x)$
158122	Find Amplitude, Period, and Phase Shift	f(x)=6tan(3x)-2	$f (x) = 6 \tan (3 x) - 2$
158123	Find Amplitude, Period, and Phase Shift	f(x)=-7sin(9x)	$f (x) = - 7 \sin (9 x)$
158124	Find Amplitude, Period, and Phase Shift	f(x)=3sin(4x+2)-1	$f (x) = 3 \sin (4 x + 2) - 1$
158125	Find Amplitude, Period, and Phase Shift	f(x)=3sin(8x)	$f (x) = 3 \sin (8 x)$
158126	Find Amplitude, Period, and Phase Shift	f(x)=3cos(9/5t)	$f (x) = 3 \cos (\frac{9}{5} t)$
158127	Find Amplitude, Period, and Phase Shift	f(x)=3sin(2x-pi)	$f (x) = 3 \sin (2 x - π)$
158128	Write as an Equation	h(x)=\|x\|	$h (x) = \| x \|$
158129	Write as an Equation	m=6 , (8,8)	$m = 6$ , $(8, 8)$
158130	Write as an Equation	m=-6 , (-2,-5)	$m = - 6$ , $(- 2, - 5)$
158131	Write as an Equation	f(x)=2(x-1)(3x+2)	$f (x) = 2 (x - 1) (3 x + 2)$
158132	Write as an Equation	f(x)=2x^2+16x+29	$f (x) = 2 x^{2} + 16 x + 29$
158133	Write as an Equation	f(x)=3(x+3)^2-2	$f (x) = 3 {(x + 3)}^{2} - 2$
158134	Write as an Equation	(-6,7)	$(- 6, 7)$
158135	Write as an Equation	(8,-3) ; m=-1/4	$(8, - 3)$ ; $m = - \frac{1}{4}$
158136	Write as an Equation	f(x)=x^2+3x+2	$f (x) = x^{2} + 3 x + 2$
158137	Write as an Equation	f(x)=-4x^2+16x-10	$f (x) = - 4 x^{2} + 16 x - 10$
158138	Write as an Equation	f(x)=-4x^2+16x-26	$f (x) = - 4 x^{2} + 16 x - 26$
158139	Write as an Equation	f(x)=4x+x^3	$f (x) = 4 x + x^{3}$
158140	Write as an Equation	(-9,-5)	$(- 9, - 5)$
158141	Write as an Equation	f(n)=(n-1)^2+3n	$f (n) = {(n - 1)}^{2} + 3 n$
158142	Write as an Equation	f(x)=3/(x+2)- square root of x-3	$f (x) = \frac{3}{x + 2} - \sqrt{x - 3}$
158143	Write as an Equation	(3,15)	$(3, 15)$
158144	Write as an Equation	(4,-1)	$(4, - 1)$
158145	Write as an Equation	(-4,-2)	$(- 4, - 2)$
158146	Write as an Equation	(-4,5)	$(- 4, 5)$
158147	Write as an Equation	(4,-6) ; m=3/5	$(4, - 6)$ ; $m = \frac{3}{5}$
158148	Write as an Equation	(2,-1)	$(2, - 1)$
158149	Write as an Equation	(-2,-5)	$(- 2, - 5)$
158150	Write as an Equation	(0,2)	$(0, 2)$
158151	Write as an Equation	(1,-2)	$(1, - 2)$
158152	Find the Maximum/Minimum Value	-x^2-4x-5	$- x^{2} - 4 x - 5$
158153	Find the Maximum/Minimum Value	x^2-4x-3	$x^{2} - 4 x - 3$
158154	Find the Maximum/Minimum Value	-x^2-4x-4	$- x^{2} - 4 x - 4$
158155	Find the Maximum/Minimum Value	-x^2-4x+7	$- x^{2} - 4 x + 7$
158156	Find the Maximum/Minimum Value	-x^2-6x-2	$- x^{2} - 6 x - 2$
158157	Find the Maximum/Minimum Value	x^2-6x+1	$x^{2} - 6 x + 1$
158158	Find the Maximum/Minimum Value	x^2-6x+14	$x^{2} - 6 x + 14$
158159	Find the Maximum/Minimum Value	x^2-3x+2	$x^{2} - 3 x + 2$
158160	Find the Maximum/Minimum Value	-x^2-3x+4	$- x^{2} - 3 x + 4$
158161	Find the Maximum/Minimum Value	-x^2-4x+12	$- x^{2} - 4 x + 12$
158162	Find the Maximum/Minimum Value	x^2-2x+7	$x^{2} - 2 x + 7$
158163	Find the Maximum/Minimum Value	x^3+4x^2-3x-18	$x^{3} + 4 x^{2} - 3 x - 18$
158164	Find the Maximum/Minimum Value	x^3+3x^2-x-3	$x^{3} + 3 x^{2} - x - 3$
158165	Find the Maximum/Minimum Value	x^3+4x^2-2x	$x^{3} + 4 x^{2} - 2 x$
158166	Find the Maximum/Minimum Value	x^3+3x^2-5x	$x^{3} + 3 x^{2} - 5 x$
158167	Find the Maximum/Minimum Value	x^2-x+4	$x^{2} - x + 4$
158168	Find the Maximum/Minimum Value	x^3+2x^2-4x	$x^{3} + 2 x^{2} - 4 x$
158169	Find the Maximum/Minimum Value	x^2-9	$x^{2} - 9$
158170	Find the Maximum/Minimum Value	-x^2-8x-18	$- x^{2} - 8 x - 18$
158171	Find the Maximum/Minimum Value	x^3+6x	$x^{3} + 6 x$
158172	Find the Maximum/Minimum Value	-x^3+6x^2-9x-2	$- x^{3} + 6 x^{2} - 9 x - 2$
158173	Find the Maximum/Minimum Value	x^3-4x^2+4	$x^{3} - 4 x^{2} + 4$
158174	Find the Maximum/Minimum Value	x^3-4x^2+5	$x^{3} - 4 x^{2} + 5$
158175	Find the Maximum/Minimum Value	x^3-4x^2-x+3	$x^{3} - 4 x^{2} - x + 3$
158176	Find the Maximum/Minimum Value	x^4+3x^3-2x^2-4x+5	$x^{4} + 3 x^{3} - 2 x^{2} - 4 x + 5$
158177	Find the Maximum/Minimum Value	x^4-50x^2+625	$x^{4} - 50 x^{2} + 625$
158178	Find the Maximum/Minimum Value	x^4-8x^2+16	$x^{4} - 8 x^{2} + 16$
158179	Find the Maximum/Minimum Value	-0.2x^2+1.4x+6	$- 0.2 x^{2} + 1.4 x + 6$
158180	Find the Maximum/Minimum Value	0.5x^2+23x-216+2600/x	$0.5 x^{2} + 23 x - 216 + \frac{2600}{x}$
158181	Find the Maximum/Minimum Value	116x-16x^2	$116 x - 16 x^{2}$
158182	Find the Maximum/Minimum Value	-16t^2+152t	$- 16 t^{2} + 152 t$
158183	Find the Maximum/Minimum Value	-15x^2+1200x+30000	$- 15 x^{2} + 1200 x + 30000$
158184	Find the Maximum/Minimum Value	(x-1)^2-4	${(x - 1)}^{2} - 4$
158185	Find the Maximum/Minimum Value	(x+6)^2-4	${(x + 6)}^{2} - 4$
158186	Find the Maximum/Minimum Value	(x+7)^2+4	${(x + 7)}^{2} + 4$
158187	Find the Maximum/Minimum Value	(x-2)^2	${(x - 2)}^{2}$
158188	Find the Maximum/Minimum Value	(x-2)^2+5	${(x - 2)}^{2} + 5$
158189	Find the Maximum/Minimum Value	-(x-3)^2+14	$- {(x - 3)}^{2} + 14$
158190	Find the Maximum/Minimum Value	-(x-4)^2-3	$- {(x - 4)}^{2} - 3$
158191	Find the Maximum/Minimum Value	(x-3)^2+7	${(x - 3)}^{2} + 7$
158192	Find the Maximum/Minimum Value	-(x-5)^2-24	$- {(x - 5)}^{2} - 24$
158193	Find the Maximum/Minimum Value	(x-8)^2-9	${(x - 8)}^{2} - 9$
158194	Find the Maximum/Minimum Value	-1/3x^2+4/3x-16/3	$- \frac{1}{3} x^{2} + \frac{4}{3} x - \frac{16}{3}$
158195	Find the Maximum/Minimum Value	-1/2x^2-x+3/2	$- \frac{1}{2} x^{2} - x + \frac{3}{2}$
158196	Find the Maximum/Minimum Value	-1/2(x-1)^2+3	$- \frac{1}{2} {(x - 1)}^{2} + 3$
158197	Find the Maximum/Minimum Value	(x+3)^2-1	${(x + 3)}^{2} - 1$
158198	Find the Maximum/Minimum Value	(x+2)^2-1	${(x + 2)}^{2} - 1$
158199	Find the Maximum/Minimum Value	(x+3)^2-5	${(x + 3)}^{2} - 5$
158200	Find the Maximum/Minimum Value	(2x)/3+(x+1)^(2/3)	$\frac{2 x}{3} + {(x + 1)}^{\frac{2}{3}}$