Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
44301	Convert to Trigonometric Form	-8 square root of 3+8i	$- 8 \sqrt{3} + 8 i$
44302	Find the Vertices	((x-1)^2)/(8^2)-((y-11)^2)/(7^2)=1	$\frac{{(x - 1)}^{2}}{8^{2}} - \frac{{(y - 11)}^{2}}{7^{2}} = 1$
44303	Find the Vertices	24x^2+25y^2=600	$24 x^{2} + 25 y^{2} = 600$
44304	Find the Vertices	9x^2-y^2-36x-6y+18=0	$9 x^{2} - y^{2} - 36 x - 6 y + 18 = 0$
44305	Find the Vertices	x^2+y^2=49	$x^{2} + y^{2} = 49$
44306	Convert to Polar Coordinates	(4,120 degrees )	$(4, 120 °)$
44307	Identify the Polar Equation	r=-3theta	$r = - 3 θ$
44308	Identify the Polar Equation	r^2=2sin(2theta)	$r^{2} = 2 \sin (2 θ)$
44309	Find the Slope of a Perpendicular Line	y=3x-4	$y = 3 x - 4$
44310	Find the Center and Radius	4x^2+4y^2+40x-32y=5	$4 x^{2} + 4 y^{2} + 40 x - 32 y = 5$
44311	Find the Center and Radius	4x^2+4y^2=25	$4 x^{2} + 4 y^{2} = 25$
44312	Find the Center and Radius	9x^2+9y^2-6x+24y=19	$9 x^{2} + 9 y^{2} - 6 x + 24 y = 19$
44313	Find the Directrix	((x-5)^2)/625+((y-4)^2)/225=1	$\frac{{(x - 5)}^{2}}{625} + \frac{{(y - 4)}^{2}}{225} = 1$
44314	Find the Directrix	(y+4)^2=-12(x+2)	${(y + 4)}^{2} = - 12 (x + 2)$
44315	Find the Roots (Zeros)	y=x^4-2x^3-11x^2+12x+36	$y = x^{4} - 2 x^{3} - 11 x^{2} + 12 x + 36$
44316	Find the Domain and Range	f(x)=(1/6)^x+2	$f (x) = {(\frac{1}{6})}^{x} + 2$
44317	Find the Domain and Range	f(x)=2(x-5)^2-5	$f (x) = 2 {(x - 5)}^{2} - 5$
44318	Expand Using the Binomial Theorem	(4x+3y)^7	${(4 x + 3 y)}^{7}$
44319	Expand Using the Binomial Theorem	(s-3v)^5	${(s - 3 v)}^{5}$
44320	Expand Using the Binomial Theorem	(7v+s)^5	${(7 v + s)}^{5}$
44321	Find the Focus	y=-1/32x^2	$y = - \frac{1}{32} x^{2}$
44322	Find the Focus	x^2=56y	$x^{2} = 56 y$
44323	Find the Focus	x^2=44y	$x^{2} = 44 y$
44324	Convert Degrees, Minutes, Seconds to Decimal Degrees	79 degrees 15'	$79 ° 15'$
44325	Expand Using Sum/Difference Formulas	sin(2x)sin(6x)	$\sin (2 x) \sin (6 x)$
44326	Find the Asymptotes	25x^2-4y^2=100	$25 x^{2} - 4 y^{2} = 100$
44327	Find the Asymptotes	(x^2)/36-(y^2)/49=1	$\frac{x^{2}}{36} - \frac{y^{2}}{49} = 1$
44328	Find the Asymptotes	y=cot(x)	$y = \cot (x)$
44329	Convert to Polar Coordinates	p=(5,-pi/6)	$p = (5, - \frac{π}{6})$
44330	Convert to Polar Coordinates	(-7,(2pi)/3)	$(- 7, \frac{2 π}{3})$
44331	Convert to Polar Coordinates	(5,30 degrees )	$(5, 30 °)$
44332	Convert to Polar Coordinates	(-5,-6)	$(- 5, - 6)$
44333	Convert to Polar Coordinates	(2 square root of 3,-6)	$(2 \sqrt{3}, - 6)$
44334	Verify the Identity	1+tan(-theta)^2=sec(theta)^2	$1 + \tan^{2} (- θ) = \sec^{2} (θ)$
44335	Convert to Trigonometric Form	-6-8i	$- 6 - 8 i$
44336	Expand the Logarithmic Expression	log base 5 of 100x+125y	$\log_{5} (100 x + 125 y)$
44337	Expand the Logarithmic Expression	natural log of 1/(9^k)	$\ln (\frac{1}{9^{k}})$
44338	Add	square root of 3x+7+ square root of 3x-7	$\sqrt{3 x + 7} + \sqrt{3 x - 7}$
44339	Convert from Degrees to Radians	197 degrees	$197 °$
44340	Convert from Degrees to Radians	133 degrees	$133 °$
44341	Find the Domain and Range	((y-7)^2)/36-((x-3)^2)/64=1	$\frac{{(y - 7)}^{2}}{36} - \frac{{(x - 3)}^{2}}{64} = 1$
44342	Find the Domain and Range	y=-24/(x^2+8)	$y = \frac{- 24}{x^{2} + 8}$
44343	Split Using Partial Fraction Decomposition	(3x-7)/(x^2-7x+12)	$\frac{3 x - 7}{x^{2} - 7 x + 12}$
44344	Find the Domain and Range	f(x)=7x-5	$f (x) = 7 x - 5$
44345	Find the Center and Radius	x^2+y^2-5x+4y=46	$x^{2} + y^{2} - 5 x + 4 y = 46$
44346	Expand Using the Binomial Theorem	(7a+b)^3	${(7 a + b)}^{3}$
44347	Expand Using the Binomial Theorem	(3x+ square root of 2)^7	${(3 x + \sqrt{2})}^{7}$
44348	Find the Focus	(x-2)^2=24(y-1)	${(x - 2)}^{2} = 24 (y - 1)$
44349	Find the Focus	(y+5)^2=-12(x-2)	${(y + 5)}^{2} = - 12 (x - 2)$
44350	Find the Focus	x^2-2x+8y+9=0	$x^{2} - 2 x + 8 y + 9 = 0$
44351	Find a,b,c	x^2-x-6=9	$x^{2} - x - 6 = 9$
44352	Find the Asymptotes	y=(1/3)^x	$y = {(\frac{1}{3})}^{x}$
44353	Find the Asymptotes	y=x/(x-3)	$y = \frac{x}{x - 3}$
44354	Find the Asymptotes	4x^2-25y^2=100	$4 x^{2} - 25 y^{2} = 100$
44355	Convert to Interval Notation	(3x-5)/(x+3)<=2	$\frac{3 x - 5}{x + 3} \leq 2$
44356	Convert to Trigonometric Form	3 square root of 3-9i	$3 \sqrt{3} - 9 i$
44357	Convert to Trigonometric Form	-2 square root of 3-2i	$- 2 \sqrt{3} - 2 i$
44358	Convert to Polar Coordinates	(1,150 degrees )	$(1, 150 °)$
44359	Convert to Polar Coordinates	(7,10)	$(7, 10)$
44360	Find the Vertex Form	x^2+y^2-9x-9y=9	$x^{2} + y^{2} - 9 x - 9 y = 9$
44361	Find the Domain and Range	x^2-6x-7	$x^{2} - 6 x - 7$
44362	Expand the Logarithmic Expression	log base 4 of fifth root of (x^6y)/16	$\log_{4} (\sqrt[5]{\frac{x^{6} y}{16}})$
44363	Expand the Logarithmic Expression	log base 3 of fifth root of (x^4y)/9	$\log_{3} (\sqrt[5]{\frac{x^{4} y}{9}})$
44364	Expand the Logarithmic Expression	log base 2 of x^4 square root of y^5	$\log_{2} (x^{4} \sqrt{y^{5}})$
44365	Convert from Degrees to Radians	arctan(1)	$\arctan (1)$
44366	Convert from Degrees to Radians	arccos(1/2)	$\cos^{-1} (\frac{1}{2})$
44367	Graph	f(x)=cot(3x)	$f (x) = \cot (3 x)$
44368	Find the Quadrant of the Angle	-250 degrees	$- 250 °$
44369	Find the Domain and Range	y=sin(theta)	$y = \sin (θ)$
44370	Find the Domain and Range	x^2-3y^2-8x+12y+16=0	$x^{2} - 3 y^{2} - 8 x + 12 y + 16 = 0$
44371	Find the Domain and Range	y=-3sin(x)-4	$y = - 3 \sin (x) - 4$
44372	Find the Domain and Range	x^2+y^2=121	$x^{2} + y^{2} = 121$
44373	Solve the Function Operation	(fog)(0) , f(x)=x^3+2x^3+5x , g(x)=-4x^2-3x+7	$(f o g) (0)$ , $f (x) = x^{3} + 2 x^{3} + 5 x$ , $g (x) = - 4 x^{2} - 3 x + 7$
44374	Convert to Polar Coordinates	(-7,7 square root of 3)	$(- 7, 7 \sqrt{3})$
44375	Convert to Polar Coordinates	(5,1)	$(5, 1)$
44376	Convert to Polar Coordinates	(-(7 square root of 2)/2,(7 square root of 2)/2)	$(- \frac{7 \sqrt{2}}{2}, \frac{7 \sqrt{2}}{2})$
44377	Convert to Polar Coordinates	(-1,(3pi)/2)	$(- 1, \frac{3 π}{2})$
44378	Find the Domain and Range	f(x)=(1/4)^(x+60)-600	$f (x) = {(\frac{1}{4})}^{x + 60} - 600$
44379	Find the Domain and Range	f(x)=-3x^2-30x-74	$f (x) = - 3 x^{2} - 30 x - 74$
44380	Find the Center and Radius	x^2+y^2+14x-12y+4=0	$x^{2} + y^{2} + 14 x - 12 y + 4 = 0$
44381	Find the Center and Radius	x^2+y^2-6x=56-8y	$x^{2} + y^{2} - 6 x = 56 - 8 y$
44382	Find the Center and Radius	x^2-4x+y^2-4y-8=0	$x^{2} - 4 x + y^{2} - 4 y - 8 = 0$
44383	Find the Inverse	y=8x+4	$y = 8 x + 4$
44384	Expand Using the Binomial Theorem	(m-12)^4	${(m - 12)}^{4}$
44385	Expand Using the Binomial Theorem	(x-1)^11	${(x - 1)}^{11}$
44386	Convert to Interval Notation	2x^3+3x^2-17x-30<0	$2 x^{3} + 3 x^{2} - 17 x - 30 < 0$
44387	Convert to Trigonometric Form	7	$7$
44388	Verify the Identity	sin(theta)^4=3/8-1/2cos(2theta)+1/8cos(4theta)	$\sin^{4} (θ) = \frac{3}{8} - \frac{1}{2} \cos (2 θ) + \frac{1}{8} \cos (4 θ)$
44389	Convert to Trigonometric Form	16i	$16 i$
44390	Convert to Trigonometric Form	-10 square root of 3-10i	$- 10 \sqrt{3} - 10 i$
44391	Find the Focus	y^2-24x=0	$y^{2} - 24 x = 0$
44392	Find the Focus	y^2=9x	$y^{2} = 9 x$
44393	Find the Focus	y=-8x^2-2	$y = - 8 x^{2} - 2$
44394	Find the Focus	5y^2=16x	$5 y^{2} = 16 x$
44395	Find the Focus	x^2=48y	$x^{2} = 48 y$
44396	Find the Focus	(x+2)^2=4(y-4)	${(x + 2)}^{2} = 4 (y - 4)$
44397	Find the Asymptotes	(x^3-8)/(x^2+3x-10)	$\frac{x^{3} - 8}{x^{2} + 3 x - 10}$
44398	Find the Asymptotes	(x^2)/49-(y^2)/4=1	$\frac{x^{2}}{49} - \frac{y^{2}}{4} = 1$
44399	Find the Asymptotes	y = log of x-3	$y = \log (x - 3)$
44400	Solve for n	8 square root of n-2=-16	$8 \sqrt{n - 2} = - 16$