Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
22501	Evaluate the Limit	limit as x approaches 0 from the right of sin(x)^x	$lim_{x \to 0^{+}} {\sin (x)}^{x}$
22502	Write in Standard Form	7-2x+3+5x+4x^2	$7 - 2 x + 3 + 5 x + 4 x^{2}$
22503	Solve for s	A=16s^2+25	$A = 16 s^{2} + 25$
22504	Simplify	( square root of 3)/21/2	$\frac{\sqrt{3}}{2} \cdot \frac{1}{2}$
22505	Solve for x	1-(2x+1)/(x+4)=3/(x^2-3x-28)	$1 - \frac{2 x + 1}{x + 4} = \frac{3}{x^{2} - 3 x - 28}$
22506	Solve by Substitution	5x+y=19 2y=-5x+28	$5 x + y = 19$ $2 y = - 5 x + 28$
22507	Simplify	((x^(3s-1)y^(s+2))/(x^(1-s)y^s))^(-r)	${(\frac{x^{3 s - 1} y^{s + 2}}{x^{1 - s} y^{s}})}^{- r}$
22508	Find the Slope and y-intercept	x/2-y/4=1	$\frac{x}{2} - \frac{y}{4} = 1$
22509	Graph	y-0=-1/2(x-3)	$y - 0 = - \frac{1}{2} (x - 3)$
22510	Find the Domain	(2x^2-10x)/((x-5)(x^2-1))*(3x^2+4x+1)	$\frac{(2 x^{2} - 10 x)}{(x - 5) (x^{2} - 1)} \cdot (3 x^{2} + 4 x + 1)$
22511	Graph	y>=x+3/2	$y \geq x + \frac{3}{2}$
22512	Find the Inverse	v=1.34 square root of l	$v = 1.34 \sqrt{l}$
22513	Solve the System of Equations	What is the solution to the system of equations y=x^2+3 and y=-2x^2+3 ?	What is the solution to the system of equations $y = x^{2} + 3$ and $y = - 2 x^{2} + 3$ ?
22514	Solve the Inequality for x	-2x^2+8x+17<-7	$- 2 x^{2} + 8 x + 17 < - 7$
22515	Solve the Function Operation	f(x)=2(x^7+2) ; find f^-1(x)	$f (x) = 2 (x^{7} + 2)$ ; find $f^{- 1} (x)$
22516	Find Where Increasing/Decreasing	f(x) = square root of x+5	$f (x) = \sqrt{x} + 5$
22517	Solve the Inequality for x	1/4x<=1	$\frac{1}{4} x \leq 1$
22518	Graph	x<=-2 y<=x-3	$x \leq - 2$ $y \leq x - 3$
22519	Find the Domain	2^(x^2+x+0.5)=4 square root of 2	$2^{x^{2} + x + 0.5} = 4 \sqrt{2}$
22520	Solve for x	g(-x)=x^3	$g (- x) = x^{3}$
22521	Simplify	xy(x^2+y^2)	$x y (x^{2} + y^{2})$
22522	Solve the System of Equations	0.5x+0.25y+0.1z=4.7 , y=2z-10 , x-y=2	$0.5 x + 0.25 y + 0.1 z = 4.7$ , $y = 2 z - 10$ , $x - y = 2$
22523	Solve the System of Equations	y+x^2=4x y+4x=16	$y + x^{2} = 4 x$ $y + 4 x = 16$
22524	Evaluate	90% of 50	$90 %$ of $50$
22525	Solve the Inequality for x	log base 2 of x< log base 2 of x+4	$\log_{2} (x) < \log_{2} (x + 4)$
22526	Simplify	1/(10x^2)*(x^2)/3	$\frac{1}{10 x^{2}} \cdot \frac{x^{2}}{3}$
22527	Simplify	(-6x+6)*(4x-5y-2)	$(- 6 x + 6) \cdot (4 x - 5 y - 2)$
22528	Solve for x	(2x-3)/(x-1)=2/(x(x-1))	$\frac{2 x - 3}{x - 1} = \frac{2}{x (x - 1)}$
22529	Solve for p	6p+2(p-1)=22	$6 p + 2 (p - 1) = 22$
22530	Convert to Trigonometric Form	(1+cos(2y))/(sin(2y))	$\frac{1 + \cos (2 y)}{\sin (2 y)}$
22531	Find All Complex Solutions	sec(x)^2-tan(x)^2=1	$\sec^{2} (x) - \tan^{2} (x) = 1$
22532	Solve for x in Degrees	csc(x)=2	$\csc (x) = 2$
22533	Simplify	13c^2d+cd^2-7c^2d-11cd^2	$13 c^{2} d + c d^{2} - 7 c^{2} d - 11 c d^{2}$
22534	Multiply	square root of 5( square root of 5+ square root of 2-3)	$\sqrt{5} (\sqrt{5} + \sqrt{2} - 3)$
22535	Find the Maximum/Minimum Value	y=x+1/(9x)	$y = x + \frac{1}{9 x}$
22536	Find the Concavity	3/5x^5-x^4-12x^3	$\frac{3}{5} x^{5} - x^{4} - 12 x^{3}$
22537	Simplify	(x^2+2x-24)/(x^2-9)*(x+3)/(x^2-16)	$\frac{x^{2} + 2 x - 24}{x^{2} - 9} \cdot \frac{x + 3}{x^{2} - 16}$
22538	Determine if True	sec(x)^2-tan(x)^2=1	$\sec^{2} (x) - \tan^{2} (x) = 1$
22539	Solve for S	S(t)=2t^2-3t+3	$S (t) = 2 t^{2} - 3 t + 3$
22540	Add	(2t^3-7t^2+8)+(4t^3-2t-1)	$(2 t^{3} - 7 t^{2} + 8) + (4 t^{3} - 2 t - 1)$
22541	Solve for k	D=1/3fk for k	$D = \frac{1}{3} f k$ for $k$
22542	Multiply	3 square root of ab*2 fourth root of ab	$3 \sqrt{a b} \cdot 2 \sqrt[4]{a b}$
22543	Find dy/dx	x^2-x^3=-2y^2	$x^{2} - x^{3} = - 2 y^{2}$
22544	Simplify	10x^8y^-3*x^-7y^-2	$10 x^{8} y^{- 3} \cdot x^{- 7} y^{- 2}$
22545	Simplify	( cube root of 32)÷( cube root of 18)	$\sqrt[3]{32} \div \sqrt[3]{18}$
22546	Add	-9x^2y^2+5x^2y-11xy+1 4xy-13x^2y+7	$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1$ $4 x y - 13 x^{2} y + 7$
22547	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3+7x^2-9x-1 is divided by x-1	Use synthetic division to find the result when $3 x^{3} + 7 x^{2} - 9 x - 1$ is divided by $x - 1$
22548	Factor	35+30s-45t	$35 + 30 s - 45 t$
22549	Solve for a	a+0=a	$a + 0 = a$
22550	Add	4x^2+3x+2+7x^2+7x+3	$4 x^{2} + 3 x + 2 + 7 x^{2} + 7 x + 3$
22551	Simplify the Radical Expression	( square root of 15xy)/(3 square root of 10xy^3)	$\frac{\sqrt{15 x y}}{3 \sqrt{10 x y^{3}}}$
22552	Solve for x	(12x+28)/12=(4+2x)/25	$\frac{12 x + 28}{12} = \frac{4 + 2 x}{25}$
22553	Evaluate the Integral	integral of (x^4+4)^(1/2)x^3 with respect to x	$\int {(x^{4} + 4)}^{\frac{1}{2}} x^{3} d x$
22554	Solve for x	1/7+(2x)/3=(15x-3)/21	$\frac{1}{7} + \frac{2 x}{3} = \frac{15 x - 3}{21}$
22555	Solve by Graphing	x=7 y=-x+9	$x = 7$ $y = - x + 9$
22556	Solve for x	3=20(1/2)^(2x)	$3 = 20 {(\frac{1}{2})}^{2 x}$
22557	Evaluate	(1/2c^3d)^5	${(\frac{1}{2} c^{3} d)}^{5}$
22558	Solve for x	(7x-1)/6+2x=(16-x)/5	$\frac{7 x - 1}{6} + 2 x = \frac{16 - x}{5}$
22559	Simplify	4x^2*x^4y^4	$4 x^{2} \cdot x^{4} y^{4}$
22560	Divide Using Synthetic Division	(-5k^2+k^3+8k+4)÷(-1+k)	$(- 5 k^{2} + k^{3} + 8 k + 4) \div (- 1 + k)$
22561	Evaluate	3/(1-3x)+5/(2-x)+(9-2x)/(3x^2-7x+2)=0	$\frac{3}{1 - 3 x} + \frac{5}{2 - x} + \frac{9 - 2 x}{3 x^{2} - 7 x + 2} = 0$
22562	Evaluate	(3^-1+2^-2)/(3^-1+2^2)	$\frac{3^{- 1} + 2^{- 2}}{3^{- 1} + 2^{2}}$
22563	Simplify the Radical Expression	6*2 square root of 72	$6 \cdot 2 \sqrt{72}$
22564	Evaluate	-(5c)^0+7^1-2^2	$- {(5 c)}^{0} + 7^{1} - 2^{2}$
22565	Evaluate	(12x^4y^8z^7)/(4xy^3z^2)	$\frac{12 x^{4} y^{8} z^{7}}{4 x y^{3} z^{2}}$
22566	Convert to Rectangular Coordinates	(6 square root of 2,pi/4)	$(6 \sqrt{2}, \frac{π}{4})$
22567	Solve the System of Equations	2x+4y-6z=8 2x+4y-2z=-4 x+2y-2z=-2	$2 x + 4 y - 6 z = 8$ $2 x + 4 y - 2 z = - 4$ $x + 2 y - 2 z = - 2$
22568	Solve for h	V=Bh for h	$V = B h$ for $h$
22569	Graph	f(x)(x^2+4x)/(x+3)	$f (x) \frac{x^{2} + 4 x}{x + 3}$
22570	Simplify	(2^2)/((2^-4)^3)	$\frac{2^{2}}{{(2^{- 4})}^{3}}$
22571	Convert to Radical Form	y^(1/3)*y^(2/5)	$y^{\frac{1}{3}} \cdot y^{\frac{2}{5}}$
22572	Graph	g(x)=x if x<1; 4 if x=1; 2-x^2 if 12	$g (x) = {\begin{cases} x & x < 1 \\ 4 & x = 1 \\ 2 - x^{2} & 12 \end{cases}$
22573	Solve for n	-6=1+n/-4	$- 6 = 1 + \frac{n}{- 4}$
22574	Graph	y=(4x)/(x^3-4x)	$y = \frac{4 x}{x^{3} - 4 x}$
22575	Solve for x	4^(x+1)+4^x=160	$4^{x + 1} + 4^{x} = 160$
22576	Simplify the Radical Expression	(-8 square root of 30)(3 square root of -24)	$(- 8 \sqrt{30}) (3 \sqrt{- 24})$
22577	Evaluate the Integral	integral of (t^2-sin(t)) with respect to t	$\int (t^{2} - \sin (t)) d t$
22578	Evaluate the Limit	limit as h approaches 0 of (15((h-8)^2-64))/h	$lim_{h \to 0} \frac{15 ({(h - 8)}^{2} - 64)}{h}$
22579	Find the Roots (Zeros)	square root of 56-x=x	$\sqrt{56 - x} = x$
22580	Simplify	1/6 square root of 48	$\frac{1}{6} \sqrt{48}$
22581	Multiply	(1-sin(x))(1+sin(x))	$(1 - \sin (x)) (1 + \sin (x))$
22582	Evaluate	2k^4*4k	$2 k^{4} \cdot 4 k$
22583	Solve for x	3x = square root of 12x+5	$3 x = \sqrt{12 x + 5}$
22584	Evaluate	cube root of 2^5* square root of 2^3	$\sqrt[3]{2^{5}} \cdot \sqrt{2^{3}}$
22585	Simplify	fourth root of cube root of x^5	$\sqrt[4]{\sqrt[3]{x^{5}}}$
22586	Solve by Addition/Elimination	2x+y=-10 -y=2x+10	$2 x + y = - 10$ $- y = 2 x + 10$
22587	Simplify	square root of 1* square root of 1	$\sqrt{1} \cdot \sqrt{1}$
22588	Find the Domain and Range	f(x)=1 if x<-5; -x if -5<=x<=3; \|x-4\|-7 if x>3	$f (x) = {\begin{cases} 1 & x < - 5 \\ - x & - 5 \leq x \leq 3 \\ \| x - 4 \| - 7 & x > 3 \end{cases}$
22589	Write as a Single Logarithm	7 log base 2 of x-1/3 log base 2 of y	$7 \log_{2} (x) - \frac{1}{3} \log_{2} (y)$
22590	Evaluate	(-2+3i)-(-3-11i)	$(- 2 + 3 i) - (- 3 - 11 i)$
22591	Find the Geometric Mean	2 and 8	$2$ and $8$
22592	Simplify	(9x^4-6x^3+4x^2)/(27x^4+8x)	$\frac{9 x^{4} - 6 x^{3} + 4 x^{2}}{27 x^{4} + 8 x}$
22593	Solve by Factoring	x=x^2	$x = x^{2}$
22594	Simplify	(2x-3y^-1)(3x^-1+xy)	$(2 x - 3 y^{- 1}) (3 x^{- 1} + x y)$
22595	Solve the Inequality for a	2.1+3.3a<2.7a-4.5	$2.1 + 3.3 a < 2.7 a - 4.5$
22596	Graph	f(x)=cot(x-pi/2)	$f (x) = \cot (x - \frac{π}{2})$
22597	Evaluate	cube root of x+2=3	$\sqrt[3]{x + 2} = 3$
22598	Solve Using the Quadratic Formula	f(x)=1/2x^2+3x+7	$f (x) = \frac{1}{2} x^{2} + 3 x + 7$
22599	Solve the System of Inequalities	4x-3y<9 x+3y>6	$4 x - 3 y < 9$ $x + 3 y > 6$
22600	Evaluate	-2(y+4)+4y	$- 2 (y + 4) + 4 y$