Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
136601	Find the Equation Using Two Points	(0,-3) , (-4,0)	$(0, - 3) (- 4, 0)$
136602	Find the Upper and Lower Bounds	4x^4-16x^3+11x^2+4x-3	$4 x^{4} - 16 x^{3} + 11 x^{2} + 4 x - 3$
136603	Find the Equation Using Two Points	(0,0) , (4,0)	$(0, 0) (4, 0)$
136604	Find the Equation Using Two Points	(3,5) , (5,11)	$(3, 5) (5, 11)$
136605	Find the Equation Using Two Points	(2,24) , (3,144)	$(2, 24) (3, 144)$
136606	Find the Equation Using Two Points	(-2,3) , (4,5)	$(- 2, 3) (4, 5)$
136607	Find the Equation Using Two Points	(-5,3) , (0,5)	$(- 5, 3) (0, 5)$
136608	Find Where Undefined/Discontinuous	f(x)=(2x^2-6x)/(x^2-4x+3)	$f (x) = \frac{2 x^{2} - 6 x}{x^{2} - 4 x + 3}$
136609	Find Where Undefined/Discontinuous	f(x)=(2x+12)/(x^2+9x+18)	$f (x) = \frac{2 x + 12}{x^{2} + 9 x + 18}$
136610	Find Where Undefined/Discontinuous	f(x)=(3x^2+12x)/(x^2+5x+4)	$f (x) = \frac{3 x^{2} + 12 x}{x^{2} + 5 x + 4}$
136611	Find Where Undefined/Discontinuous	f(x)=(9x^2-36)/(3x+6)	$f (x) = \frac{9 x^{2} - 36}{3 x + 6}$
136612	Find Where Undefined/Discontinuous	f(x)=((3x-7)(2x+5)(2x-1))/((3x-1)(3x+1)(1-x))	$f (x) = \frac{(3 x - 7) (2 x + 5) (2 x - 1)}{(3 x - 1) (3 x + 1) (1 - x)}$
136613	Find Where Undefined/Discontinuous	f(x)=(x^2-15x+56)/(x+7)	$f (x) = \frac{x^{2} - 15 x + 56}{x + 7}$
136614	Find Where Undefined/Discontinuous	f(x)=(x^3+3x^2-10x)/(x^3-25x)	$f (x) = \frac{x^{3} + 3 x^{2} - 10 x}{x^{3} - 25 x}$
136615	Find the Characteristic Equation	[[2,1],[4,0]]	$[\begin{array}{c} 2 & 1 \\ 4 & 0 \end{array}]$
136616	Find Amplitude, Period, and Phase Shift	-2cos(pi/8x)+3	$- 2 \cos (\frac{π}{8} x) + 3$
136617	Find Amplitude, Period, and Phase Shift	1/4cos(4x)	$\frac{1}{4} \cos (4 x)$
136618	Find Amplitude, Period, and Phase Shift	-2cos(1/2x)	$- 2 \cos (\frac{1}{2} x)$
136619	Find Amplitude, Period, and Phase Shift	2sin(-3x+2pi)-12	$2 \sin (- 3 x + 2 π) - 12$
136620	Find Amplitude, Period, and Phase Shift	4sin(1/4x)	$4 \sin (\frac{1}{4} x)$
136621	Find Amplitude, Period, and Phase Shift	-4sin(x-pi/4)	$- 4 \sin (x - \frac{π}{4})$
136622	Find Amplitude, Period, and Phase Shift	-4sin(pix)	$- 4 \sin (π x)$
136623	Find Amplitude, Period, and Phase Shift	cos(1/2x)	$\cos (\frac{1}{2} x)$
136624	Determine the Possible Number of Real Roots	x^4-81=0	$x^{4} - 81 = 0$
136625	Determine the Possible Number of Real Roots	x^3-15x-4=0	$x^{3} - 15 x - 4 = 0$
136626	Determine the Possible Number of Real Roots	x^2-8x+16=0	$x^{2} - 8 x + 16 = 0$
136627	Determine the Possible Number of Real Roots	x^2-8x+7=0	$x^{2} - 8 x + 7 = 0$
136628	Determine the Possible Number of Real Roots	5x^2+14x=7	$5 x^{2} + 14 x = 7$
136629	Determine the Possible Number of Real Roots	-4x^2+7x-3=0	$- 4 x^{2} + 7 x - 3 = 0$
136630	Find the Circle Using the Diameter End Points	(-4,2) , (4,10)	$(- 4, 2) (4, 10)$
136631	Find the Circle Using the Diameter End Points	(9,7) , (-3,-5)	$(9, 7) (- 3, - 5)$
136632	Find Where Increasing/Decreasing	y=-0.4\|2x+1\|-12	$y = - 0.4 \| 2 x + 1 \| - 12$
136633	Find Where Increasing/Decreasing	y=100(0.5)^x	$y = 100 {(0.5)}^{x}$
136634	Find Where Increasing/Decreasing	y=7^(-x)	$y = 7^{- x}$
136635	Find Where Increasing/Decreasing	y=3x^3-9x-7	$y = 3 x^{3} - 9 x - 7$
136636	Solve for x2	(8(x_1-x_2))/m=B	$\frac{8 (x_{1} - x_{2})}{m} = B$
136637	Solve for s7	s_7=(3(1-2^7))/(1-2)	$s_{7} = \frac{3 (1 - 2^{7})}{1 - 2}$
136638	Solve for s6	s_6=(6(1-3^6))/(1-3)	$s_{6} = \frac{6 (1 - 3^{6})}{1 - 3}$
136639	Solve for s4	s_4=(1(1-(1/7)^4))/(1-1/7)	$s_{4} = \frac{1 (1 - {(\frac{1}{7})}^{4})}{1 - \frac{1}{7}}$
136640	Solve for t2	v=(s_2-s_1)/(t_2-t_1)	$v = \frac{s_{2} - s_{1}}{t_{2} - t_{1}}$
136641	Solve for I	r=e/I	$r = \frac{e}{I}$
136642	Solve for I0	L=10 log of I/I_0	$L = 10 \log (\frac{I}{I_{0}})$
136643	Solve for d2	A=1/2d_1d_2	$A = \frac{1}{2} d_{1} d_{2}$
136644	Solve for n2	Y=((n_1-n_2)m)/2	$Y = \frac{(n_{1} - n_{2}) m}{2}$
136645	Solve for P2	F=(P_1-P_2)/r	$F = \frac{P_{1} - P_{2}}{r}$
136646	Solve for R1	1/R_T=1/R_1+1/R_2	$\frac{1}{R_{T}} = \frac{1}{R_{1}} + \frac{1}{R_{2}}$
136647	Solve for R1	i=V/(R_1+R_2)	$i = \frac{V}{R_{1} + R_{2}}$
136648	Solve for a1	a_n=a_1r^(n-1)	$a_{n} = a_{1} r^{n - 1}$
136649	Solve for a2	a_2=(2^2-10)/(2^2+10)	$a_{2} = \frac{2^{2} - 10}{2^{2} + 10}$
136650	Solve for a2	a_2=3	$a_{2} = 3$
136651	Solve for a1	a_1=3(1)+4	$a_{1} = 3 (1) + 4$
136652	Solve for a1	a_1=4n-2	$a_{1} = 4 n - 2$
136653	Solve for a1	a_1=-7	$a_{1} = - 7$
136654	Solve for a1	a_1=5(1)+3	$a_{1} = 5 (1) + 3$
136655	Solve for A0	A=A_0*(0.9)^t	$A = A_{0} \cdot {(0.9)}^{t}$
136656	Solve for a5	a_5=5^2+2	$a_{5} = 5^{2} + 2$
136657	Solve for a5	a_5=(-1)^5*5^2	$a_{5} = {(- 1)}^{5} \cdot 5^{2}$
136658	Solve for a8	a_8=3^(8-1)	$a_{8} = 3^{8 - 1}$
136659	Solve for a2	a_2=a_2-1+8	$a_{2} = a_{2 - 1} + 8$
136660	Solve for a2	a_2=4(2)-2	$a_{2} = 4 (2) - 2$
136661	Solve for a3	a_3=2(3)-1	$a_{3} = 2 (3) - 1$
136662	Solve for a3	a_3=4(3)^(3-1)	$a_{3} = 4 {(3)}^{3 - 1}$
136663	Solve for a3	a_3=9^3	$a_{3} = 9^{3}$
136664	Solve for a4	a_4=(-1)^(4+1)*4^2	$a_{4} = {(- 1)}^{4 + 1} \cdot 4^{2}$
136665	Write as an Equation	F(x)=1/3*4^x	$F (x) = \frac{1}{3} \cdot 4^{x}$
136666	Write as an Equation	f(x)=a(x-h)^2	$f (x) = a {(x - h)}^{2}$
136667	Write as an Equation	f(x)=x^2+x-30	$f (x) = x^{2} + x - 30$
136668	Write as an Equation	g(x)=x^2+15x+54	$g (x) = x^{2} + 15 x + 54$
136669	Write as an Equation	f(x)=4x^2	$f (x) = 4 x^{2}$
136670	Write as an Equation	f(x) = square root of x+2	$f (x) = \sqrt{x + 2}$
136671	Write as a Set of Linear Factors	y=-2x+3	$y = - 2 x + 3$
136672	Find the Vertical and Horizontal Intercept(s)	f(x)=4^(x+1)-10	$f (x) = 4^{(x + 1)} - 10$
136673	Find the Vertical and Horizontal Intercept(s)	f(x) = cube root of x	$f (x) = \sqrt[3]{x}$
136674	Find the Vertical and Horizontal Intercept(s)	f(x)=3/(x-5)	$f (x) = \frac{3}{x - 5}$
136675	Arrange in Order	7/10 , 3/20 , 22/25 , 2/5	$\frac{7}{10}$ , $\frac{3}{20}$ , $\frac{22}{25}$ , $\frac{2}{5}$
136676	Arrange in Order	129 , 113 , 200 , 100 , 105 , 132 , 100 , 176 , 146 , 152	$129$ , $113$ , $200$ , $100$ , $105$ , $132$ , $100$ , $176$ , $146$ , $152$
136677	Arrange in Order	257 , 222 , 202 , 152 , 250 , 261 , 235 , 212 , 171 , 296 , 273 , 269 , 164 , 175 , 241 , 311 , 217 , 231 , 285 , 271	$257$ , $222$ , $202$ , $152$ , $250$ , $261$ , $235$ , $212$ , $171$ , $296$ , $273$ , $269$ , $164$ , $175$ , $241$ , $311$ , $217$ , $231$ , $285$ , $271$
136678	Find the Data Range	{-2,-1,0,1,2}	${- 2, - 1, 0, 1, 2}$
136679	Find the Data Range	7.7 , 8.4 , 9 , 8 , 6.9	$7.7$ , $8.4$ , $9$ , $8$ , $6.9$
136680	Find the Data Range	6.1 , 0.6 , 4.9 , 6.6 , 5.9 , 3.3 , 5.1 , 5.4	$6.1$ , $0.6$ , $4.9$ , $6.6$ , $5.9$ , $3.3$ , $5.1$ , $5.4$
136681	Solve Using a Matrix with Cramer's Rule	3x-4y=12x+4y=14	$3 x - 4 y = 12 x + 4 y = 14$
136682	Solve Using a Matrix with Cramer's Rule	5x+7y=-16x+8y=1	$5 x + 7 y = - 16 x + 8 y = 1$
136683	Solve for y	-5<y<=-1	$- 5 < y \leq - 1$
136684	Solve for b	4.5< square root of b<4.9	$4.5 < \sqrt{b} < 4.9$
136685	Solve for k	-2<=-2k+4<=6	$- 2 \leq - 2 k + 4 \leq 6$
136686	Solve for n	-2.4<n<-0.6	$- 2.4 < n < - 0.6$
136687	Solve Using a Matrix with Cramer's Rule	x-2y-z=2-x+6y-3z=-62x-11y+5z=11	$x - 2 y - z = 2 - x + 6 y - 3 z = - 62 x - 11 y + 5 z = 11$
136688	Solve Using a Matrix with Cramer's Rule	x+y+z=2x-y+z=-1-x+3y-z=-8	$x + y + z = 2 x - y + z = - 1 - x + 3 y - z = - 8$
136689	Find the Equation Using Two Points	f(0)=15 , f(1)=45	$f (0) = 15$ , $f (1) = 45$
136690	Find the Other Trig Values in Quadrant I	cos(0)=5/6	$\cos (0) = \frac{5}{6}$
136691	Find All Complex Number Solutions	3x^2+6x+2=0	$3 x^{2} + 6 x + 2 = 0$
136692	Find All Complex Number Solutions	(x-4)^2=36	${(x - 4)}^{2} = 36$
136693	Find All Complex Number Solutions	2x^2+26x+156=0	$2 x^{2} + 26 x + 156 = 0$
136694	Find All Complex Number Solutions	x^2-9x=-8	$x^{2} - 9 x = - 8$
136695	Find All Complex Number Solutions	x^5-3=0	$x^{5} - 3 = 0$
136696	Find the Other Trig Values in Quadrant III	sin(x)=-3/5	$\sin (x) = \frac{- 3}{5}$
136697	Find the Critical Points	f(x)=2x^2+8x-7	$f (x) = 2 x^{2} + 8 x - 7$
136698	Solve by Linear Combination	p-q=8 2p-q=19	$p - q = 8$ $2 p - q = 19$
136699	Rationalize the Denominator	2/( square root of 18x)	$\frac{2}{\sqrt{18 x}}$
136700	Eliminate the Parameter	x = square root of t , y=3t+7	$x = \sqrt{t}$ , $y = 3 t + 7$