Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
29301	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,-1) and has a slope of 3/2 ?	What is the equation of the line that passes through the point $(- 2, - 1)$ and has a slope of $\frac{3}{2}$ ?
29302	Graph	r(x)=1/2x+3/2,x<-3; 1,x=-3; -(x+2)^2+2,-30	$r (x) = {\begin{cases} \frac{1}{2} x + \frac{3}{2}, x < - 3 \\ 1, x = - 3 \\ - {(x + 2)}^{2} + 2, - 30 \end{cases}$
29303	Graph	x+4y=-8 y=1/2x-5	$x + 4 y = - 8$ $y = \frac{1}{2} x - 5$
29304	Write Using Positive Exponents	-8(x^-3y^4)^-5	$- 8 {(x^{- 3} y^{4})}^{- 5}$
29305	Solve for x	(2x)/6=(4x+8)/15	$\frac{2 x}{6} = \frac{4 x + 8}{15}$
29306	Evaluate the Limit	limit as x approaches 0 of (f(x))/(f(x)+2)	$lim_{x \to 0} \frac{f (x)}{f (x) + 2}$
29307	Find the Exact Value	sin(2*pi/4)	$\sin (2 \cdot \frac{π}{4})$
29308	Simplify	((x^2-14x+48)/(x^2-x-2)*(16-4x^2)/(x^2-4x-12))÷((x^2+x-72)/(x^2+10x+9))	$\frac{x^{2} - 14 x + 48}{x^{2} - x - 2} \cdot \frac{16 - 4 x^{2}}{x^{2} - 4 x - 12} \div \frac{x^{2} + x - 72}{x^{2} + 10 x + 9}$
29309	Find Amplitude, Period, and Phase Shift	y=sin(x-pi)-1	$y = \sin (x - π) - 1$
29310	Simplify	(25/(4x))/((10x^2)/(8x^4))	$\frac{\frac{25}{4 x}}{\frac{10 x^{2}}{8 x^{4}}}$
29311	Simplify	cube root of square root of 9^3	$\sqrt[3]{\sqrt{9^{3}}}$
29312	Evaluate	fourth root of 2* square root of 3	$\sqrt[4]{2} \cdot \sqrt{3}$
29313	Simplify	(4x^3-3x^2)/(2x)	$\frac{4 x^{3} - 3 x^{2}}{2 x}$
29314	Find the Asymptotes	f(x)=(2x^3+x^2-3)/(x^2+1)	$f (x) = \frac{2 x^{3} + x^{2} - 3}{x^{2} + 1}$
29315	Simplify	( cube root of 81 cube root of 27)/( cube root of 3)	$\frac{\sqrt[3]{81} \sqrt[3]{27}}{\sqrt[3]{3}}$
29316	Simplify	3x^2y^2(x-y)	$3 x^{2} y^{2} (x - y)$
29317	Evaluate	5!2!	$5! 2!$
29318	Find the Degree, Leading Term, and Leading Coefficient	g(x)=8x^3+4x^2+7x^4-9x	$g (x) = 8 x^{3} + 4 x^{2} + 7 x^{4} - 9 x$
29319	Evaluate	pi÷(1/2)	$π \div \frac{1}{2}$
29320	Integrate Using u-Substitution	integral from 0 to 1 of x^2 square root of 3x^3+6 with respect to x	$\int_{0}^{1} x^{2} \sqrt{3 x^{3} + 6} d x$
29321	Factor	x^4+x^3-x^2-x-18	$x^{4} + x^{3} - x^{2} - x - 18$
29322	Multiply	3x^4(4x^4-x^5+2)	$3 x^{4} (4 x^{4} - x^{5} + 2)$
29323	Solve the Function Operation	f(x)=4x+2 ; find f(x+3)	$f (x) = 4 x + 2$ ; find $f (x + 3)$
29324	Simplify	(x+2)/(x^2-9)*(x+3)/(x^2-4)	$\frac{x + 2}{x^{2} - 9} \cdot \frac{x + 3}{x^{2} - 4}$
29325	Solve for z	square root of 2z+6 = square root of 3z+93	$\sqrt{2 z + 6} = \sqrt{3 z + 93}$
29326	Graph	negative infinity<=x<=infinity	$- \infty \leq x \leq \infty$
29327	Find the Derivative - d/dt	1/3t^3-t	$\frac{1}{3} t^{3} - t$
29328	Find dy/dx	y=x^2(x-1)	$y = x^{2} (x - 1)$
29329	Subtract	(4x-x^3+3)-(2x^2-3x^3+1)	$(4 x - x^{3} + 3) - (2 x^{2} - 3 x^{3} + 1)$
29330	Graph	x<-2 or x>4	$x < - 2$ or $x > 4$
29331	Solve the System of Equations	2x+2y-z=4 4x-2y-2z=2 3x+3y-4z=-4	$2 x + 2 y - z = 4$ $4 x - 2 y - 2 z = 2$ $3 x + 3 y - 4 z = - 4$
29332	Evaluate the Limit	limit as x approaches infinity of (1+1/x)^(4x+7)	$lim_{x \to \infty} {(1 + \frac{1}{x})}^{4 x + 7}$
29333	Solve for h	0.9h=h-0.6	$0.9 h = h - 0.6$
29334	Evaluate	10^x=5	$10^{x} = 5$
29335	Simplify	-(4(m^-3z^4)^2)/(12m^-4z^-1)	$- \frac{4 {(m^{- 3} z^{4})}^{2}}{12 m^{- 4} z^{- 1}}$
29336	Evaluate the Function	3x+y=0 , x>=0	$3 x + y = 0$ , $x \geq 0$
29337	Solve for x	1/(6x)=4/15	$\frac{1}{6 x} = \frac{4}{15}$
29338	Find dy/dx	y=-(-8x^2-1)^4	$y = - {(- 8 x^{2} - 1)}^{4}$
29339	Simplify	((2x^3-12x^2)/(x^2-4x-12))÷((8x^3+24x^2)/(x^2+9x+18))	$\frac{2 x^{3} - 12 x^{2}}{x^{2} - 4 x - 12} \div \frac{8 x^{3} + 24 x^{2}}{x^{2} + 9 x + 18}$
29340	Divide	((x^2-16)/(x+5))÷((x^2-8x+16)/(2x+10))	$\frac{x^{2} - 16}{x + 5} \div \frac{x^{2} - 8 x + 16}{2 x + 10}$
29341	Simplify	fourth root of r^11 cube root of r^5	$\sqrt[4]{r^{11}} \sqrt[3]{r^{5}}$
29342	Solve the System of Equations	-8x-6y=-58 and x-y=9	$- 8 x - 6 y = - 58$ and $x - y = 9$
29343	Simplify	(1+2x)-(6x+2-5x^4)	$(1 + 2 x) - (6 x + 2 - 5 x^{4})$
29344	Simplify	3xx^4+3xx^3-5x^2x^3-5x^2x	$3 x \cdot x^{4} + 3 x \cdot x^{3} - 5 x^{2} x^{3} - 5 x^{2} x$
29345	Solve the Function Operation	f(x)=2x-6 if 0<=x<5; -1 if x=5; -(x-6)^2 if x>5 Find f(5)	$f (x) = {\begin{cases} 2 x - 6 & 0 \leq x < 5 \\ - 1 & x = 5 \\ - {(x - 6)}^{2} & x > 5 \end{cases}$ Find $f (5)$
29346	Solve for p	e=5s+3p	$e = 5 s + 3 p$
29347	Solve for y	-8/(2y+6)+2=-4/(y+3)	$- \frac{8}{2 y + 6} + 2 = - \frac{4}{y + 3}$
29348	Add	(-30i)+(52-30i)	$(- 30 i) + (52 - 30 i)$
29349	Solve the System of Equations	9r+q=13 3r+2q=-4	$9 r + q = 13$ $3 r + 2 q = - 4$
29350	Divide Using Long Polynomial Division	6x^3+11x^2+9x+2 divided by 3x+1	$6 x^{3} + 11 x^{2} + 9 x + 2$ divided by $3 x + 1$
29351	Solve for x	42/x+9=11	$\frac{42}{x} + 9 = 11$
29352	Evaluate the Integral	integral from 0 to pi/2 of (sin(x))/(1-cos(x)) with respect to x	$\int_{0}^{\frac{π}{2}} \frac{\sin (x)}{1 - \cos (x)} d x$
29353	Find Amplitude, Period, and Phase Shift	y=2/3cos((x-3)/4)+1	$y = \frac{2}{3} \cos (\frac{x - 3}{4}) + 1$
29354	Solve the Inequality for x	1+ square root of 5x-2>4	$1 + \sqrt{5 x - 2} > 4$
29355	Solve for x	log base 20 of x=1+ log base 20 of 10	$\log_{20} (x) = 1 + \log_{20} (10)$
29356	Solve for s	\|2s-3\|-6>-5	$\| 2 s - 3 \| - 6 > - 5$
29357	Simplify	(y^3x^34^-1m^-2+2x^54)	$(y^{3} x^{3} \cdot 4^{- 1} m^{- 2} + 2 x^{5} \cdot 4)$
29358	Solve the Inequality for g	9.1g+4.5<10.1g	$9.1 g + 4.5 < 10.1 g$
29359	Evaluate	5/8+(3/4)÷(-2/3)-5/6	$\frac{5}{8} + \frac{3}{4} \div (- \frac{2}{3}) - \frac{5}{6}$
29360	Find the Derivative - d/dx	y=(2x+cot(x))/(5+e^x)	$y = \frac{2 x + \cot (x)}{5 + e^{x}}$
29361	Find the Reference Angle	tan(pi/2)	$\tan (\frac{π}{2})$
29362	Add	-x^2+-x^2	$- x^{2} + - x^{2}$
29363	Simplify the Radical Expression	-4 square root of 28x* square root of 7x^3	$- 4 \sqrt{28 x} \cdot \sqrt{7 x^{3}}$
29364	Simplify	7 square root of 2* square root of 5* square root of 10	$7 \sqrt{2} \cdot \sqrt{5} \cdot \sqrt{10}$
29365	Simplify	8m^(1/3)(m^(1/3)+2)	$8 m^{\frac{1}{3}} (m^{\frac{1}{3}} + 2)$
29366	Evaluate the Limit	limit as x approaches 2/3 of (4-9x^2)/(2-3x)	$lim_{x \to \frac{2}{3}} \frac{4 - 9 x^{2}}{2 - 3 x}$
29367	Evaluate Using L'Hospital's Rule	limit as x approaches 3 of (x^2-3x)/(3e^(2x-6)-x)	$lim_{x \to 3} \frac{x^{2} - 3 x}{3 e^{2 x - 6} - x}$
29368	Solve for x	(x+11)/7=(2x+1)/-8	$\frac{x + 11}{7} = \frac{2 x + 1}{- 8}$
29369	Graph	f(x)=(x^2+x)/(4x+4)	$f (x) = \frac{x^{2} + x}{4 x + 4}$
29370	Solve the Inequality for a	a = log base 3 of 40- log base 3 of 5+ log base 3 of 2	$a = \log_{3} (40) - \log_{3} (5) + \log_{3} (2)$
29371	Graph	x+4y=8 y=3/4x+6	$x + 4 y = 8$ $y = \frac{3}{4} x + 6$
29372	Simplify	((3xy^2)/(x^4y))^-2	${(\frac{3 x y^{2}}{x^{4} y})}^{- 2}$
29373	Graph	f(x)=0.04(8x-x^2)	$f (x) = 0.04 (8 x - x^{2})$
29374	Simplify	2i^4-2i^3+1^2-i+2	$2 i^{4} - 2 i^{3} + 1^{2} - i + 2$
29375	Simplify	-9x^2y^2+5x^2y-11xy+1-4xy-13x^2y+7	$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 - 4 x y - 13 x^{2} y + 7$
29376	Solve the Inequality for P	Q=12-3P	$Q = 12 - 3 P$
29377	Simplify	(x+4)(7x^3+x^2-2x+2)	$(x + 4) (7 x^{3} + x^{2} - 2 x + 2)$
29378	Simplify	-4(2(x-7)+3)+20	$- 4 (2 (x - 7) + 3) + 20$
29379	Simplify	(-1)^3(5x^2y)^3	${(- 1)}^{3} {(5 x^{2} y)}^{3}$
29380	Solve for q	3q^2-5q-6=-3q^2	$3 q^{2} - 5 q - 6 = - 3 q^{2}$
29381	Evaluate the Function	y=3^x , x=5	$y = 3^{x}$ , $x = 5$
29382	Solve the Inequality for x	3(4-6x)>6x	$3 (4 - 6 x) > 6 x$
29383	Simplify	(xy)^-2(30x^5)(xy^-3)	${(x y)}^{- 2} (30 x^{5}) (x y^{- 3})$
29384	Divide	((x+8)/(x^2-64))÷((x-4)/(x^2+x-72))	$\frac{x + 8}{x^{2} - 64} \div \frac{x - 4}{x^{2} + x - 72}$
29385	Graph	f(x)=x(2x+3)	$f (x) = x (2 x + 3)$
29386	Evaluate	log base seventh root of 4 of 64	$\log_{\sqrt[7]{4}} (64)$
29387	Solve the Inequality for y	-2.5<=(1-3y)/2<=1.5	$- 2.5 \leq \frac{1 - 3 y}{2} \leq 1.5$
29388	Evaluate the Integral	integral from -b/2 to b/2 of (h-(4h)/(b^2)x^2) with respect to x	$\int_{- \frac{b}{2}}^{\frac{b}{2}} (h - \frac{4 h}{b^{2}} x^{2}) d x$
29389	Evaluate	-2(4)^-1	$- 2 {(4)}^{- 1}$
29390	Find the Domain	( square root of x^2-81)/((x+12)(x-4))	$\frac{\sqrt{x^{2} - 81}}{(x + 12) (x - 4)}$
29391	Divide	((x^2-5x-6)/(2x+6))÷((x^2-3x-4)/(4x+12))	$\frac{x^{2} - 5 x - 6}{2 x + 6} \div \frac{x^{2} - 3 x - 4}{4 x + 12}$
29392	Solve the Absolute Value Inequality for x	\|x\|=-x	$\| x \| = - x$
29393	Evaluate the Limit	limit as x approaches c of -4*3/4	$lim_{x \to c} - 4 \cdot \frac{3}{4}$
29394	Graph	y>xy	$y > x y$
29395	Find the Derivative - d/dθ	theta+cos(theta)	$θ + \cos (θ)$
29396	Simplify	square root of 3-x* square root of x^2-1	$\sqrt{3 - x} \cdot \sqrt{x^{2} - 1}$
29397	Solve the Inequality for x	tan(x)>=1	$\tan (x) \geq 1$
29398	Integrate Using u-Substitution	integral of (x^3+2x)^5(6x^2+4) with respect to x	$\int {(x^{3} + 2 x)}^{5} (6 x^{2} + 4) d x$
29399	Solve the System of Equations	7x+2y=4 and -5x-3y=5	$7 x + 2 y = 4$ and $- 5 x - 3 y = 5$
29400	Simplify	square root of 8* square root of 16	$\sqrt{8} \cdot \sqrt{16}$