Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
36201	Find the Derivative - d/dy	6tan(3y+1)	$6 \tan (3 y + 1)$
36202	Find f(g(x))	f(x)=6x-15 and g(x)=1/6x+5/2	$f (x) = 6 x - 15$ and $g (x) = \frac{1}{6} x + \frac{5}{2}$
36203	Solve the System of Equations	-x-2y=6 y=-1/2x-3	$- x - 2 y = 6$ $y = - \frac{1}{2} x - 3$
36204	Solve for x	x/(x-3)=-6/(x-3)-1/2	$\frac{x}{x - 3} = \frac{- 6}{x - 3} - \frac{1}{2}$
36205	Solve the Function Operation	A new car is purchased for 23200dollar The value of the car depreciates at 13.25% per yr What will the value of the car be, to the nearest cent , after 7yr ?	A new car is purchased for $23200$ dollars. The value of the car depreciates at $13.25 %$ per $year$ What will the value of the car be, to the nearest cent, after $7 years$ ?
36206	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of (5-5x^2)/(4tan(3x-3))	$lim_{x \to 1} \frac{5 - 5 x^{2}}{4 \tan (3 x - 3)}$
36207	Multiply	(x+7)/(x+8)*(x^2+x-56)/(x^2-49)	$\frac{x + 7}{x + 8} \cdot \frac{x^{2} + x - 56}{x^{2} - 49}$
36208	Factor by Grouping	18xy+6y^2	$18 x y + 6 y^{2}$
36209	Subtract	(-2x^2-8x+3)+(-9x^2+x+3)	$(- 2 x^{2} - 8 x + 3) + (- 9 x^{2} + x + 3)$
36210	Add	(-4x^2+3x+3)-(4x^2+9)	$(- 4 x^{2} + 3 x + 3) - (4 x^{2} + 9)$
36211	Convert to a Decimal	51 correct : 9 incorrect	$51$ correct : $9$ incorrect
36212	Divide Using Long Polynomial Division	(x^4+6x^2-5)/(x^4)	$\frac{x^{4} + 6 x^{2} - 5}{x^{4}}$
36213	Solve the System of Equations	3x+9y+z=-2 x+9y+z=4 9x-9y+5z=8	$3 x + 9 y + z = - 2$ $x + 9 y + z = 4$ $9 x - 9 y + 5 z = 8$
36214	Divide	(-16/25)÷(8/5)	$- \frac{16}{25} \div \frac{8}{5}$
36215	Graph Using a Table of Values	f(x)=2 square root of x+1	$f (x) = 2 \sqrt{x + 1}$
36216	Graph	tan(theta)<0 , cos(theta)<0	$\tan (θ) < 0$ , $\cos (θ) < 0$
36217	Solve for x	6/(2x-6)=3	$\frac{6}{2 x - 6} = 3$
36218	Write in Standard Form	7+x^5	$7 + x^{5}$
36219	Solve for x	2 square root of x+1+2 square root of x=1	$2 \sqrt{x + 1} + 2 \sqrt{x} = 1$
36220	Find the Domain	2/(x^2-6x+y)	$\frac{2}{x^{2} - 6 x + y}$
36221	Solve for θ in Degrees	-270=1900sin(theta)	$- 270 = 1900 \sin (θ)$
36222	Simplify	f(5/2)	$f (\frac{5}{2})$
36223	Simplify	(4(-12+6))÷3	$4 (- 12 + 6) \div 3$
36224	Find the Domain and Range	y=-3x^5+4x^3-x-1	$y = - 3 x^{5} + 4 x^{3} - x - 1$
36225	Multiply	square root of 9x^2* square root of 9y^5	$\sqrt{9 x^{2}} \cdot \sqrt{9 y^{5}}$
36226	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,2) and has a slope of -2/5 ?	What is the equation of the line that passes through the point $(- 5, 2)$ and has a slope of $- \frac{2}{5}$ ?
36227	Simplify	5/(12k^2-40k)	$\frac{5}{12 k^{2} - 40 k}$
36228	Graph	graph y=1/2x+3	graph $y = \frac{1}{2} x + 3$
36229	Divide	-x/-2	$- \frac{x}{- 2}$
36230	Arrange in Order	3 4/9 , 3.6 , 3 4/5	$3 \frac{4}{9}$ , $3.6$ , $3 \frac{4}{5}$
36231	Find dy/dx	y=x^2e^x-xe^x	$y = x^{2} e^{x} - x e^{x}$
36232	Find the Exact Value	-34+-7	$- 34 + - 7$
36233	Convert from Radians to Degrees	arcsin(-3/5)	$\arcsin (- \frac{3}{5})$
36234	Subtract	16-(2-3i)-i	$16 - (2 - 3 i) - i$
36235	Subtract	(2x^2-3x+2)-(-4x^2-2+2x)	$(2 x^{2} - 3 x + 2) - (- 4 x^{2} - 2 + 2 x)$
36236	Subtract	(x^2-3x+4)-(3x+x^3-4)	$(x^{2} - 3 x + 4) - (3 x + x^{3} - 4)$
36237	Simplify	((4vw^-3x^2)^2)/((2v^3w^2x^-2)^4)*(-v^3w^2x^-4)^-3	$\frac{{(4 v w^{- 3} x^{2})}^{2}}{{(2 v^{3} w^{2} x^{- 2})}^{4}} \cdot {(- v^{3} w^{2} x^{- 4})}^{- 3}$
36238	Find Trig Functions Using Identities	sec(x)=-5/2 , tan(x)<0	$\sec (x) = - \frac{5}{2}$ , $\tan (x) < 0$
36239	Find the Exact Value	(5+3i)+(2-8i)	$(5 + 3 i) + (2 - 8 i)$
36240	Solve for b	ab=-5	$a b = - 5$
36241	Solve the Inequality for p	\|-3p-7\|>5	$\| - 3 p - 7 \| > 5$
36242	Simplify	2 3/4c+3 1/8c+7	$2 \frac{3}{4} c + 3 \frac{1}{8} c + 7$
36243	Find the Derivative - d/dx	1/2tan(x)^2	$\frac{1}{2} \tan^{2} (x)$
36244	Expand the Logarithmic Expression	natural log of (3e^4)/(x^2)	$\ln (\frac{3 e^{4}}{x^{2}})$
36245	Simplify	(2x- square root of 3)(1+ square root of 3x^3)	$(2 x - \sqrt{3}) (1 + \sqrt{3 x^{3}})$
36246	Solve for y	-9/y=-6	$- \frac{9}{y} = - 6$
36247	Evaluate the Function	2x-y for x=17 and y=12	$2 x - y$ for $x = 17$ and $y = 12$
36248	Simplify	-3x^2(2x+7)+4x(3x^2-x+5)+2(x^2-4)	$- 3 x^{2} (2 x + 7) + 4 x (3 x^{2} - x + 5) + 2 (x^{2} - 4)$
36249	Find the Slope and y-intercept	f(x)=5x+8/7	$f (x) = 5 x + \frac{8}{7}$
36250	Solve for t	s=20.05 square root of t+273.15	$s = 20.05 \sqrt{t + 273.15}$
36251	Find the GCF	18 and 30	$18$ and $30$
36252	Rationalize the Denominator	( square root of 32c^5d^3)/( square root of 2ab)	$\frac{\sqrt{32 c^{5} d^{3}}}{\sqrt{2 a b}}$
36253	Write in Slope-Intercept Form	(1,8) and (-2,-1)	$(1, 8)$ and $(- 2, - 1)$
36254	Simplify	(8/9)^(-3/2)	${(\frac{8}{9})}^{- \frac{3}{2}}$
36255	Solve for a	4(2a-9)=5(3a-7)-1	$4 (2 a - 9) = 5 (3 a - 7) - 1$
36256	Find the Domain and Range	y=1/2x^3+x^2-3x+1	$y = \frac{1}{2} x^{3} + x^{2} - 3 x + 1$
36257	Solve the System of Equations	y+1=-2x^2+4 2x-y=5	$y + 1 = - 2 x^{2} + 4$ $2 x - y = 5$
36258	Multiply	1*2/1	$1 \cdot \frac{2}{1}$
36259	Find Trig Functions Using Identities	tan(theta)=3/4 , sin(theta)>0	$\tan (θ) = \frac{3}{4}$ , $\sin (θ) > 0$
36260	Find the Asymptotes	f(x)=-3 log base 4 of -x+3-4	$f (x) = - 3 \log_{4} (- x + 3) - 4$
36261	Solve the System of Inequalities	y>1/2x+8 y<-x-1	$y > \frac{1}{2} x + 8$ $y < - x - 1$
36262	Find the Domain and Range	x/( square root of x-4)	$\frac{x}{\sqrt{x - 4}}$
36263	Simplify	cube root of 3+ cube root of 24+16	$\sqrt[3]{3} + \sqrt[3]{24} + 16$
36264	Simplify	square root of a^2b* square root of a^2b^2x	$\sqrt{a^{2} b} \cdot \sqrt{a^{2} b^{2} x}$
36265	Find All Complex Solutions	square root of x+2=5	$\sqrt{x + 2} = 5$
36266	Find Amplitude, Period, and Phase Shift	y=sin((3pix)/2-3/5)	$y = \sin (\frac{3 π x}{2} - \frac{3}{5})$
36267	Integrate Using u-Substitution	integral from 0 to 3 of square root of y+1 with respect to y	$\int_{0}^{3} \sqrt{y + 1} d y$
36268	Find the Cosine of the Angle	225 degrees	$225 °$
36269	Convert to Logarithmic Form	3=e^(4y)	$3 = e^{4 y}$
36270	Find the Exact Value	(8!)/(5!)	$\frac{8!}{5!}$
36271	Solve for x	square root of 9(x-1)=21	$\sqrt{9 (x - 1)} = 21$
36272	Find the Antiderivative	5/((2-8x)^3)	$\frac{5}{{(2 - 8 x)}^{3}}$
36273	Simplify	(2^3)(3)^2(2^-3)	$(2^{3}) {(3)}^{2} (2^{- 3})$
36274	Find the Equation Using Two Points	f(-2)=6 and f(0)=-4	$f (- 2) = 6$ and $f (0) = - 4$
36275	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+4x^3-21x^2-23x-15 is divided by x+3	Use synthetic division to find the result when $3 x^{4} + 4 x^{3} - 21 x^{2} - 23 x - 15$ is divided by $x + 3$
36276	Multiply	(5 square root of x- square root of 2)^2	${(5 \sqrt{x} - \sqrt{2})}^{2}$
36277	Find the Antiderivative	f(x)=1/(cos(3x)^2)	$f (x) = \frac{1}{\cos^{2} (3 x)}$
36278	Evaluate the Integral	integral of x/((1+4x)^2) with respect to x	$\int \frac{x}{{(1 + 4 x)}^{2}} d x$
36279	Evaluate the Integral	integral of (-6-4x^5+x^4) with respect to x	$\int (- 6 - 4 x^{5} + x^{4}) d x$
36280	Write in Standard Form	y=(2x+3)(x-1)(x-4)	$y = (2 x + 3) (x - 1) (x - 4)$
36281	Find the Derivative - d/dx	y=2x^10-x^6+5x^2	$y = 2 x^{10} - x^{6} + 5 x^{2}$
36282	Graph	y=2f(1/2x)	$y = 2 f (\frac{1}{2} x)$
36283	Solve the Function Operation	g(a)=2a+5 h(a)=4a+3 Find g(-3)-h(-3)	$g (a) = 2 a + 5$ $h (a) = 4 a + 3$ Find $g (- 3) - h (- 3)$
36284	Evaluate	3^(4x)=3^12	$3^{4 x} = 3^{12}$
36285	Solve for x	3^x=3/2x+4	$3^{x} = \frac{3}{2} x + 4$
36286	Solve by Substitution	8x=12 2y+10=22	$8 x = 12$ $2 y + 10 = 22$
36287	Find the Asymptotes	f(x)=(-3x^7)/(4x^4)	$f (x) = \frac{- 3 x^{7}}{4 x^{4}}$
36288	Solve for r	r^3+1=0	$r^{3} + 1 = 0$
36289	Divide	(99w^3x^4-81x^2+63w)/(-9wx)	$\frac{99 w^{3} x^{4} - 81 x^{2} + 63 w}{- 9 w x}$
36290	Evaluate the Limit	limit as x approaches 0 of (2x^2+7x+6)/((x-4)^2)	$lim_{x \to 0} \frac{2 x^{2} + 7 x + 6}{{(x - 4)}^{2}}$
36291	Write in Standard Form	(-7a^4-a+4a^2)-(-8a^2+a-7a^4)	$(- 7 a^{4} - a + 4 a^{2}) - (- 8 a^{2} + a - 7 a^{4})$
36292	Rationalize the Denominator	(5x)/( cube root of 3x^2)	$\frac{5 x}{\sqrt[3]{3 x^{2}}}$
36293	Solve the Rational Equation for x	x/(x+8)+5=-8/(x+8)	$\frac{x}{x + 8} + 5 = - \frac{8}{x + 8}$
36294	Write in Standard Form	f(x)=x^4-8x^2+x/2+4x^3+1/2	$f (x) = x^{4} - 8 x^{2} + \frac{x}{2} + 4 x^{3} + \frac{1}{2}$
36295	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3+8x^2+12x-15 is divided by x+5	Use the long division method to find the result when $x^{3} + 8 x^{2} + 12 x - 15$ is divided by $x + 5$
36296	Simplify	(6+4÷2)/(4÷6-1)	$\frac{6 + 4 \div 2}{4 \div 6 - 1}$
36297	Write in Standard Form	(x^2-10x+24)-(x-6)	$(x^{2} - 10 x + 24) - (x - 6)$
36298	Simplify	( square root of x+3)/(2 square root of x-1)	$\frac{\sqrt{x} + 3}{2 \sqrt{x} - 1}$
36299	Evaluate the Integral	integral of (3e^x-5x) with respect to x	$\int (3 e^{x} - 5 x) d x$
36300	Factor by Grouping	m^3-m^2n+m-n	$m^{3} - m^{2} n + m - n$