Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
4201	Convert to Trigonometric Form	7-2i	$7 - 2 i$
4202	Convert to Trigonometric Form	-6+7i	$- 6 + 7 i$
4203	Convert to Trigonometric Form	-2 square root of 2+2i square root of 2	$- 2 \sqrt{2} + 2 i \sqrt{2}$
4204	Convert to Trigonometric Form	-2+8i	$- 2 + 8 i$
4205	Convert to Trigonometric Form	2-5i	$2 - 5 i$
4206	Evaluate	cos(67.5)	$\cos (67.5)$
4207	Simplify	cube root of -250	$\sqrt[3]{- 250}$
4208	Solve for ?	2sin(theta)^2-3sin(theta)+1=0	$2 \sin^{2} (θ) - 3 \sin (θ) + 1 = 0$
4209	Find the Domain	f(x) = square root of x^2-36	$f (x) = \sqrt{x^{2} - 36}$
4210	Evaluate	5+ square root of -36	$5 + \sqrt{- 36}$
4211	Evaluate	49*5/2	$49 \cdot \frac{5}{2}$
4212	Evaluate	cos(195)	$\cos (195)$
4213	Evaluate	cos(pi/8)	$\cos (\frac{π}{8})$
4214	Evaluate	p*30^2	$p \cdot 30^{2}$
4215	Evaluate	p(4)^2	$p {(4)}^{2}$
4216	Evaluate	cos(24/25)	$\cos (\frac{24}{25})$
4217	Evaluate	arcsin(sin((-2pi)/3))	$\arcsin (\sin (\frac{- 2 π}{3}))$
4218	Evaluate	arccos(2/3)	$\arccos (\frac{2}{3})$
4219	Evaluate	arccos(0.36)	$\arccos (0.36)$
4220	Find the Domain and Range	f(x)=(3+x^2)/(4-x^2)	$f (x) = \frac{3 + x^{2}}{4 - x^{2}}$
4221	Find the Domain and Range	f(x) = log base 3 of x+9	$f (x) = \log_{3} (x + 9)$
4222	Find the Domain and Range	f(x)=e^(x+2)	$f (x) = e^{x + 2}$
4223	Find the Domain and Range	f(x)=-e^(x-1)-5	$f (x) = - e^{x - 1} - 5$
4224	Find the Domain and Range	f(x)=(x-2)^2+2	$f (x) = {(x - 2)}^{2} + 2$
4225	Find the Domain and Range	f(x)=( square root of x+6)/(6+x)	$f (x) = \frac{\sqrt{x + 6}}{6 + x}$
4226	Find the Domain and Range	f(x)=1/2* cube root of x-2	$f (x) = \frac{1}{2} \cdot \sqrt[3]{x - 2}$
4227	Find the Domain and Range	f(x)=0.25^x+2	$f (x) = {0.25}^{x} + 2$
4228	Find the Domain and Range	f(x)=1/(x^4)	$f (x) = \frac{1}{x^{4}}$
4229	Find the Domain and Range	f(x)=(x+5)/(x^2-3x-10)	$f (x) = \frac{x + 5}{x^{2} - 3 x - 10}$
4230	Find the Domain and Range	f(x)=(x-3)/(x+2)	$f (x) = \frac{x - 3}{x + 2}$
4231	Find the Domain and Range	f(x) = square root of x^4-16x^2	$f (x) = \sqrt{x^{4} - 16 x^{2}}$
4232	Find the Domain and Range	f(x) = square root of x^2-64	$f (x) = \sqrt{x^{2} - 64}$
4233	Find the Domain and Range	f(x) = square root of 12-x	$f (x) = \sqrt{12 - x}$
4234	Find the Domain and Range	f(x) = square root of 14-x	$f (x) = \sqrt{14 - x}$
4235	Find the Domain and Range	f(x) = square root of 13-x	$f (x) = \sqrt{13 - x}$
4236	Find the Domain and Range	f(x)=- log base 6 of x+2	$f (x) = - \log_{6} (x + 2)$
4237	Find the Domain	h(x)=( square root of 4-x)/((x+1)(x^2+1))	$h (x) = \frac{\sqrt{4 - x}}{(x + 1) (x^{2} + 1)}$
4238	Find the Domain and Range	f(x) = square root of 3x-12	$f (x) = \sqrt{3 x - 12}$
4239	Find the Domain and Range	sec(x)	$\sec (x)$
4240	Find the Domain and Range	y=1/x+8	$y = \frac{1}{x} + 8$
4241	Find the Domain and Range	y=2/x+4	$y = \frac{2}{x} + 4$
4242	Find the Domain and Range	g(x)=2e^x-3	$g (x) = 2 e^{x} - 3$
4243	Find the Domain and Range	h(x)=(x-2)^2+5	$h (x) = {(x - 2)}^{2} + 5$
4244	Find the Domain and Range	h(x) = square root of x-2- log base 5 of 10-x	$h (x) = \sqrt{x - 2} - \log_{5} (10 - x)$
4245	Find the Domain and Range	f(x)=4+(1/2)^x	$f (x) = 4 + {(\frac{1}{2})}^{x}$
4246	Find the Domain and Range	f(x)=2x^2-12x-8	$f (x) = 2 x^{2} - 12 x - 8$
4247	Find the Domain and Range	f(x) = log of x^2-1	$f (x) = \log (x^{2} - 1)$
4248	Find the Domain and Range	f(x) = log of x-2	$f (x) = \log (x - 2)$
4249	Find the Domain and Range	g(x)=e^x+1	$g (x) = e^{x} + 1$
4250	Graph	f(x)=e^(x-2)+3	$f (x) = e^{x - 2} + 3$
4251	Write the Absolute Value as Piecewise	\|x^2+4x+4\|	$\| x^{2} + 4 x + 4 \|$
4252	Write the Absolute Value as Piecewise	f(x)=\|2x-3\|	$f (x) = \| 2 x - 3 \|$
4253	Write the Absolute Value as Piecewise	f(x)=\|x\|	$f (x) = \| x \|$
4254	Graph	f(x)=(x^2+x-2)/(x^2-3x-4)	$f (x) = \frac{x^{2} + x - 2}{x^{2} - 3 x - 4}$
4255	Graph	f(x)=sec(2x)	$f (x) = \sec (2 x)$
4256	Find the Vertex	y=2x^2-5x+1	$y = 2 x^{2} - 5 x + 1$
4257	Find the Vertex	y=2x^2+5x-7	$y = 2 x^{2} + 5 x - 7$
4258	Find the Vertex	y=2x^2	$y = 2 x^{2}$
4259	Find the Vertex	y=-x^2-6x-9	$y = - x^{2} - 6 x - 9$
4260	Find the Vertex	y=x^2-4x-5	$y = x^{2} - 4 x - 5$
4261	Find the Vertex	y=x^2-4	$y = x^{2} - 4$
4262	Find the Vertex	y=x^2+4x+6	$y = x^{2} + 4 x + 6$
4263	Find the Vertex	y=x^2+4	$y = x^{2} + 4$
4264	Find the Vertex	y=x^2+4x-1	$y = x^{2} + 4 x - 1$
4265	Find the Vertex	y=1/2x^2	$y = \frac{1}{2} x^{2}$
4266	Find the Vertex	y=(x+3)^2-2	$y = {(x + 3)}^{2} - 2$
4267	Find the Domain and Range	f(x)=(x+3)^2-4	$f (x) = {(x + 3)}^{2} - 4$
4268	Solve for x	square root of x+1-3x=1	$\sqrt{x + 1} - 3 x = 1$
4269	Find the Domain and Range	f(t)=t^2-8t+15	$f (t) = t^{2} - 8 t + 15$
4270	Find the Vertex	y-1=(x-3)^2	$y - 1 = {(x - 3)}^{2}$
4271	Find the Vertex	y=3x^2+6x-7	$y = 3 x^{2} + 6 x - 7$
4272	Find the Vertex	y=-3x^2	$y = - 3 x^{2}$
4273	Find the Quadrant of the Angle	558	$558$
4274	Find the Quadrant of the Angle	sin(15)	$\sin (15)$
4275	Find the Circle Using the Diameter End Points	(-1,2) , (3,4)	$(- 1, 2) (3, 4)$
4276	Find the Sine Given the Point	(pi/2,pi)	$(\frac{π}{2}, π)$
4277	Find the Cosine Given the Point	(13,-13)	$(13, - 13)$
4278	Evaluate	(2(x-y))/( square root of x- square root of y)	$\frac{2 (x - y)}{\sqrt{x} - \sqrt{y}}$
4279	Evaluate	2/(9- square root of 7)	$\frac{2}{9 - \sqrt{7}}$
4280	Evaluate	4/(1- square root of 5)	$\frac{4}{1 - \sqrt{5}}$
4281	Evaluate	cube root of 5/2	$\sqrt[3]{\frac{5}{2}}$
4282	Expand Using the Binomial Theorem	(a-b)^5	${(a - b)}^{5}$
4283	Expand Using the Binomial Theorem	(w-s)^6	${(w - s)}^{6}$
4284	Expand Using the Binomial Theorem	(5a+2)^3	${(5 a + 2)}^{3}$
4285	Expand Using the Binomial Theorem	(6x+5)^3	${(6 x + 5)}^{3}$
4286	Find Amplitude, Period, and Phase Shift	y=5sin(1/2)x	$y = 5 \sin (\frac{1}{2}) x$
4287	Find the Cardinality	(1/2,-( square root of 3)/2)	$(\frac{1}{2}, - \frac{\sqrt{3}}{2})$
4288	Graph	theta=pi/3	$θ = \frac{π}{3}$
4289	Graph	f(x)=x^3-3x^2-10x	$f (x) = x^{3} - 3 x^{2} - 10 x$
4290	Graph	f(x)=x^3-6x^2+9x+4	$f (x) = x^{3} - 6 x^{2} + 9 x + 4$
4291	Graph	f(x)=x^3+4x^2-9x-36	$f (x) = x^{3} + 4 x^{2} - 9 x - 36$
4292	Graph	f(x)=x^3+2x^2-4x-8	$f (x) = x^{3} + 2 x^{2} - 4 x - 8$
4293	Simplify	tan(theta)^2csc(theta)^2	$\tan^{2} (θ) \csc^{2} (θ)$
4294	Graph	f(x)=-x^4+25x^2	$f (x) = - x^{4} + 25 x^{2}$
4295	Graph	f(x)=x^4-8x^3+16x^2	$f (x) = x^{4} - 8 x^{3} + 16 x^{2}$
4296	Graph	f(x)=3(x+5)(x-2)^3	$f (x) = 3 (x + 5) {(x - 2)}^{3}$
4297	Find the Focus	y^2=8x	$y^{2} = 8 x$
4298	Graph	f(x)=2cos(x)	$f (x) = 2 \cos (x)$
4299	Graph	f(x)=2+ log base 5 of x	$f (x) = 2 + \log_{5} (x)$
4300	Graph	f(x)=-2x^2-5x-4	$f (x) = - 2 x^{2} - 5 x - 4$