Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
135601	Round to the Nearest Whole Number	549.5	$549.5$
135602	Round to the Nearest Whole Number	552.64	$552.64$
135603	Round to the Nearest Whole Number	3.4	$3.4$
135604	Round to the Nearest Whole Number	8.6	$8.6$
135605	Round to the Nearest Whole Number	602.88	$602.88$
135606	Round to the Nearest Whole Number	763.02	$763.02$
135607	Find the Derivative - d/dt	(2t)/(t^2+1)	$\frac{2 t}{t^{2} + 1}$
135608	Find the Derivative - d/da	1/(a+bi)	$\frac{1}{a + b i}$
135609	Find the Derivative - d/da	a+1/(a^2)	$a + \frac{1}{a^{2}}$
135610	Find f(g(x))	f(x)=1/(x-3)+1g(x)=2 square root of x-3	$f (x) = \frac{1}{x - 3} + 1 g (x) = 2 \sqrt{x - 3}$
135611	Find f(f(x))	f(x)=(x+7)/5 , f(x)=5x-7	$f (x) = \frac{x + 7}{5}$ , $f (x) = 5 x - 7$
135612	Minimize the Equation given the Constraints	z=5x+30y*9x+12y>=618x+4y>=32x>=0 , y>=0	$z = 5 x + 30 y \cdot 9 x + 12 y \geq 618 x + 4 y \geq 32 x \geq 0$ , $y \geq 0$
135613	Find f(g(x))	f(x)=x^2-5x+2 , g(x)=2x	$f (x) = x^{2} - 5 x + 2$ , $g (x) = 2 x$
135614	Find f(g(x))	f(x)=x^5g(x)=-2-3x^2	$f (x) = x^{5} g (x) = - 2 - 3 x^{2}$
135615	Find g(f(x))	f(x)=9/(1-2x) , g(x)=1/x	$f (x) = \frac{9}{1 - 2 x}$ , $g (x) = \frac{1}{x}$
135616	Determine if the Relation is a Function	(0,0) , (1,3) , (2,4) , (3,3) , (4,0)	$(0, 0)$ , $(1, 3)$ , $(2, 4)$ , $(3, 3)$ , $(4, 0)$
135617	Find g(h(x))	g(x)=x^2+6xh(x)=x^2-1	$g (x) = x^{2} + 6 x h (x) = x^{2} - 1$
135618	Find g(f(x))	f(x)=8x-5 , g(x)=2x^2+8	$f (x) = 8 x - 5$ , $g (x) = 2 x^{2} + 8$
135619	Find g(f(x))	f(x)=6x-4g(x)=3x^2-2x-10	$f (x) = 6 x - 4 g (x) = 3 x^{2} - 2 x - 10$
135620	Determine if the Relation is a Function	{(0,3),(-6,8),(-3,5),(0,-3),(7,11)}	${(0, 3), (- 6, 8), (- 3, 5), (0, - 3), (7, 11)}$
135621	Determine if the Relation is a Function	{(3,-2),(4,7),(-2,5),(-4,5)}	${(3, - 2), (4, 7), (- 2, 5), (- 4, 5)}$
135622	Determine if the Relation is a Function	{(0,0),(0,1),(0,2),(0,4),(0,5)}	${(0, 0), (0, 1), (0, 2), (0, 4), (0, 5)}$
135623	Determine if the Relation is a Function	{(8,1),(-4,1),(3,5),(0,4),(-1,2)}	${(8, 1), (- 4, 1), (3, 5), (0, 4), (- 1, 2)}$
135624	Round to the Nearest Whole Number	1.6	$1.6$
135625	Round to the Nearest Whole Number	1193.985	$1193.985$
135626	Find the Sum of the Infinite Geometric Series	4/3 , 8/3 , 16/3 , 32/3 , 64/3	$\frac{4}{3}$ , $\frac{8}{3}$ , $\frac{16}{3}$ , $\frac{32}{3}$ , $\frac{64}{3}$
135627	Find the Sum of the Infinite Geometric Series	1 , -1/4 , 1/16 , -1/64	$1$ , $- \frac{1}{4}$ , $\frac{1}{16}$ , $- \frac{1}{64}$
135628	Find the Sum of the Infinite Geometric Series	1 , 3 , 9 , 27	$1$ , $3$ , $9$ , $27$
135629	Find the Sum of the Infinite Geometric Series	1/3 , 3/12 , 9/48 , 27/192	$\frac{1}{3}$ , $\frac{3}{12}$ , $\frac{9}{48}$ , $\frac{27}{192}$
135630	Find the Sum of the Infinite Geometric Series	100 , 60 , 36 , 108/5	$100$ , $60$ , $36$ , $\frac{108}{5}$
135631	Find the Exponential Function	(3,2)	$(3, 2)$
135632	Write as a Set of Linear Factors	f(x)=x^4-10x^3-64x^2-86x-33	$f (x) = x^{4} - 10 x^{3} - 64 x^{2} - 86 x - 33$
135633	Find the y-intercept	6x+12=0	$6 x + 12 = 0$
135634	Find the y-intercept	x+8=0	$x + 8 = 0$
135635	Identify the Polar Equation	z=-14+8i	$z = - 14 + 8 i$
135636	Identify the Polar Equation	z = square root of 3+i	$z = \sqrt{3} + i$
135637	Identify the Polar Equation	r=6sin(x)	$r = 6 \sin (x)$
135638	Identify the Polar Equation	r=4sin(x)	$r = 4 \sin (x)$
135639	Identify the Polar Equation	r=3sin(2theta)	$r = 3 \sin (2 θ)$
135640	Identify the Polar Equation	r=3csc(theta)	$r = 3 \csc (θ)$
135641	Find the Upper and Lower Bounds	f(x)=2x^4-7x^3+x^2+7x-3	$f (x) = 2 x^{4} - 7 x^{3} + x^{2} + 7 x - 3$
135642	Find the Sum of the Series	7+10+13+16+19	$7 + 10 + 13 + 16 + 19$
135643	Find the Sum of the Series	7+11+15+19	$7 + 11 + 15 + 19$
135644	Find the Sum of the Series	3+1+1/3+1/9+1/27	$3 + 1 + \frac{1}{3} + \frac{1}{9} + \frac{1}{27}$
135645	Find the Sum of the Series	1+1/5+1/25+1/125	$1 + \frac{1}{5} + \frac{1}{25} + \frac{1}{125}$
135646	Find the Sum of the Series	1+1/8+1/64+1/512	$1 + \frac{1}{8} + \frac{1}{64} + \frac{1}{512}$
135647	Find the Sum of the Series	1+4+16+64+256	$1 + 4 + 16 + 64 + 256$
135648	Find the Sum of the Series	3/2 , 15/4 , 75/8 , 375/16	$\frac{3}{2}$ , $\frac{15}{4}$ , $\frac{75}{8}$ , $\frac{375}{16}$
135649	Solve Using a Matrix by Row Operations	9x-4y-5z=97x+4y-4z=-16x-6y+z=-5	$9 x - 4 y - 5 z = 97 x + 4 y - 4 z = - 16 x - 6 y + z = - 5$
135650	Convert to Logarithmic Form	e^(2x)-6e^x+5=0	$e^{2 x} - 6 e^{x} + 5 = 0$
135651	Graph the Line Segment	(-6,-5) , (-9,2)	$(- 6, - 5)$ , $(- 9, 2)$
135652	Prove that a Root is on the Interval	x^3+7x-2=y , [0,10]	$x^{3} + 7 x - 2 = y$ , $[0, 10]$
135653	Find Amplitude, Period, and Phase Shift	-cos(x)	$- \cos (x)$
135654	Find Amplitude, Period, and Phase Shift	sin(2x-pi)	$\sin (2 x - π)$
135655	Find Amplitude, Period, and Phase Shift	cos(pix)	$\cos (π x)$
135656	Find Amplitude, Period, and Phase Shift	-3cos(2x+pi/4)	$- 3 \cos (2 x + \frac{π}{4})$
135657	Find Amplitude, Period, and Phase Shift	2sin(x-pi/4)	$2 \sin (x - \frac{π}{4})$
135658	Find Where Undefined/Discontinuous	f(x)=(x-3)/(x^2+3x-18)	$f (x) = \frac{x - 3}{x^{2} + 3 x - 18}$
135659	Find Where Undefined/Discontinuous	f(x)=(x^2+x-6)/(x^2-6x+8)	$f (x) = \frac{x^{2} + x - 6}{x^{2} - 6 x + 8}$
135660	Find Amplitude, Period, and Phase Shift	tan(3x-pi/2)	$\tan (3 x - \frac{π}{2})$
135661	Find Where Undefined/Discontinuous	f(x)=(3x-12)/(x^2-5x+4)	$f (x) = \frac{3 x - 12}{x^{2} - 5 x + 4}$
135662	Find Where Undefined/Discontinuous	f(x)=(2x-8)/(x^2+2x-24)	$f (x) = \frac{2 x - 8}{x^{2} + 2 x - 24}$
135663	Find the Equation Using Two Points	(-3,0) , (2,0)	$(- 3, 0) (2, 0)$
135664	Find the Equation Using Two Points	(-1,3) , (2,4)	$(- 1, 3)$ , $(2, 4)$
135665	Find the Equation Using Two Points	(-1,2) , (0,8) , (1,32) , (2,128)	$(- 1, 2) (0, 8) (1, 32) (2, 128)$
135666	Find the Equation Using Two Points	(0,0) , (-1/6,1/7)	$(0, 0)$ , $(- \frac{1}{6}, \frac{1}{7})$
135667	Subtract the Matrices	[[2,4,2],[4,2,4]]-[[2,3,2],[3,2,3]]	$[\begin{array}{c} 2 & 4 & 2 \\ 4 & 2 & 4 \end{array}] - [\begin{array}{c} 2 & 3 & 2 \\ 3 & 2 & 3 \end{array}]$
135668	Subtract the Matrices	[[3,5,2],[-1,8,5]]-[[7,3,-2],[5,4,3]]	$[\begin{array}{c} 3 & 5 & 2 \\ - 1 & 8 & 5 \end{array}] - [\begin{array}{c} 7 & 3 & - 2 \\ 5 & 4 & 3 \end{array}]$
135669	Find the Parallel Line	y=3x-8 (4,-5)	$y = 3 x - 8$ $(4, - 5)$
135670	Find the Parallel Line	(-1,-2) , 3x-y=5	$(- 1, - 2)$ , $3 x - y = 5$
135671	Find the Parallel Line	(-2,5) , y=-1/3x+2	$(- 2, 5)$ , $y = - \frac{1}{3} x + 2$
135672	Find the Parallel Line	(3,2) , y=x+5	$(3, 2)$ , $y = x + 5$
135673	Find the Parallel Line	(-3,4) , 3y=2x-3	$(- 3, 4)$ , $3 y = 2 x - 3$
135674	Find the Parallel Line	3x-4y=12 (4,2)	$3 x - 4 y = 12$ $(4, 2)$
135675	Solve for a4	a_4=(-1)^4*4^2	$a_{4} = {(- 1)}^{4} \cdot 4^{2}$
135676	Solve for a3	a_3=4(5)^(3-1)	$a_{3} = 4 {(5)}^{3 - 1}$
135677	Solve for a3	a_3=3(3)-1	$a_{3} = 3 (3) - 1$
135678	Solve for a3	a_3=(-8)^3	$a_{3} = {(- 8)}^{3}$
135679	Solve for a3	a_3=(-1)^3*3^2	$a_{3} = {(- 1)}^{3} \cdot 3^{2}$
135680	Solve for a2	a_2=3^2	$a_{2} = 3^{2}$
135681	Solve for a2	a_2=a_2-1+2	$a_{2} = a_{2 - 1} + 2$
135682	Solve for a2	a_2=a_2-1+5	$a_{2} = a_{2 - 1} + 5$
135683	Solve for a5	a_5=3a_5-1+2	$a_{5} = 3 a_{5 - 1} + 2$
135684	Solve for a4	a_4=(-8)^4	$a_{4} = {(- 8)}^{4}$
135685	Solve for a5	a_5=5*2^(5-1)	$a_{5} = 5 \cdot 2^{(5 - 1)}$
135686	Solve for a4	a_4=5(3)^(4-1)	$a_{4} = 5 {(3)}^{4 - 1}$
135687	Solve for a1	a_1=(-1)^(1+3)	$a_{1} = {(- 1)}^{1 + 3}$
135688	Solve for a1	b/a_1+b/a_2=5	$\frac{b}{a_{1}} + \frac{b}{a_{2}} = 5$
135689	Solve for a1	a_1=11	$a_{1} = 11$
135690	Solve for a1	a_1=4(5)^(1-1)	$a_{1} = 4 {(5)}^{1 - 1}$
135691	Solve for a2	a_2=(2^2-2)/(2^2+2)	$a_{2} = \frac{2^{2} - 2}{2^{2} + 2}$
135692	Solve for a2	a_2=(-1)^2*2^2	$a_{2} = {(- 1)}^{2} \cdot 2^{2}$
135693	Solve for O	s=rO	$s = r O$
135694	Solve for n2	y=((n_1-n_2)m)/3	$y = \frac{(n_{1} - n_{2}) m}{3}$
135695	Solve for d1	A=1/2d_1d_2	$A = \frac{1}{2} d_{1} d_{2}$
135696	Solve for I	104=10 log of I/(10^-12)	$104 = 10 \log (\frac{I}{10^{- 12}})$
135697	Solve for I	12=2 square root of I-9	$12 = 2 \sqrt{I} - 9$
135698	Solve for I	15=2 square root of I-9	$15 = 2 \sqrt{I} - 9$
135699	Solve for s7	s_7=(-3(1-2^7))/(1-2)	$s_{7} = \frac{- 3 (1 - 2^{7})}{1 - 2}$
135700	Solve for v2	((v_1-v_2)w)/6=s	$\frac{(v_{1} - v_{2}) w}{6} = s$