Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
62201	Solve for L	L+x=5L	$L + x = 5 L$
62202	Solve for k	5k+6=21	$5 k + 6 = 21$
62203	Solve for m	(4m+2)(3m-9)=0	$(4 m + 2) (3 m - 9) = 0$
62204	Solve for m	5m+1<=4	$5 m + 1 \leq 4$
62205	Solve for m	8^(m+1)=30	$8^{m + 1} = 30$
62206	Solve for n	(5n+1)^2+5(5n+1)-6=0	${(5 n + 1)}^{2} + 5 (5 n + 1) - 6 = 0$
62207	Solve for n	limit as n approaches infinity of sum from i=1 to n of (34i)/(n^2)	$lim_{n \to \infty} \sum_{i = 1}^{n} \frac{34 i}{n^{2}}$
62208	Solve for n	limit as n approaches infinity of sum from i=1 to n of ((2i)/n)(2/n)	$lim_{n \to \infty} \sum_{i = 1}^{n} (\frac{2 i}{n}) (\frac{2}{n})$
62209	Solve for n	limit as n approaches infinity of sum from i=1 to N of i/(N^2)	$lim_{n \to \infty} \sum_{i = 1}^{N} \frac{i}{N^{2}}$
62210	Solve for n	square root of 110-n=n	$\sqrt{110 - n} = n$
62211	Solve for n	2/3(1+n)=-1/2n	$\frac{2}{3} (1 + n) = - \frac{1}{2} n$
62212	Solve for n	(44^6(16)/44-( sum from n=1 to 6-1 of 2^n))/(44^6)	$\frac{44^{6} \cdot \frac{1 \cdot 6}{44} - (\sum_{n = 1}^{6 - 1} 2^{n})}{44^{6}}$
62213	Solve for n	sum from k=1 to n of (18k(k-1))/(n^3)	$\sum_{k = 1}^{n} \frac{18 k (k - 1)}{n^{3}}$
62214	Solve for n	sum from n=1 to infinity of 4(0.5)^(n-1)	$\sum_{n = 1}^{\infty} 4 {(0.5)}^{n - 1}$
62215	Solve for n	11^(5n)<=1/14641	$11^{5 n} \leq \frac{1}{14641}$
62216	Solve for c	2(c+1)=10	$2 (c + 1) = 10$
62217	Solve for C	20arctan(1)+C=0	$20 \arctan (1) + C = 0$
62218	Solve for c	10^(6c-7)=d	$10^{6 c - 7} = d$
62219	Solve for C	-5/3*0^3-5e^0+C=-2	$- \frac{5}{3} \cdot 0^{3} - 5 e^{0} + C = - 2$
62220	Solve for C	9.3=3(( square root of 7)^2+3)^(2/3)+C	$9.3 = 3 {({(\sqrt{7})}^{2} + 3)}^{\frac{2}{3}} + C$
62221	Solve for k	(x+k)^2=x^2-2x+k^2	${(x + k)}^{2} = x^{2} - 2 x + k^{2}$
62222	Solve for k	sum from k=1 to infinity of 5(2/3)^(k-1)	$\sum_{k = 1}^{\infty} 5 {(\frac{2}{3})}^{k - 1}$
62223	Solve for k	(5k-1)^2=-27	${(5 k - 1)}^{2} = - 27$
62224	Solve for q	-4q+60=0	$- 4 q + 60 = 0$
62225	Solve for r	12800=200e^(r^4)	$12800 = 200 e^{r^{4}}$
62226	Solve for r	28.64788975/360=18/(pir^2)	$\frac{28.6478}{360} = \frac{18}{π r^{2}}$
62227	Solve for q	6q-22=0	$6 q - 22 = 0$
62228	Solve for q	q^2+14q=960-20q-q^2	$q^{2} + 14 q = 960 - 20 q - q^{2}$
62229	Solve for R	1/R=1/(R^1)+1/(R^2)	$\frac{1}{R} = \frac{1}{R^{1}} + \frac{1}{R^{2}}$
62230	Solve for P	Q=60-4P	$Q = 60 - 4 P$
62231	Solve for p	p(7)=2500e^(0.11(7))	$p (7) = 2500 e^{0.11 (7)}$
62232	Solve for p	p=(4,-pi/3)	$p = (4, - \frac{π}{3})$
62233	Solve for p	2p^2=-6p+1	$2 p^{2} = - 6 p + 1$
62234	Solve for n	a_n=2n-1	$a_{n} = 2 n - 1$
62235	Solve for n	n(7)=10^6e^(0.0127)	$n (7) = 10^{6} \cdot e^{(0.012 \cdot 7)}$
62236	Solve for n	7(4-5n)+7n=-38-6n	$7 (4 - 5 n) + 7 n = - 38 - 6 n$
62237	Solve for n	4096^(2n)<512^(n+9)	$4096^{2 n} < 512^{n + 9}$
62238	Solve for r	r^2+4=0	$r^{2} + 4 = 0$
62239	Solve for s	2s-170368/(s^2)=0	$2 s - \frac{170368}{s^{2}} = 0$
62240	Solve for t	-9/15(dtheta)/(dt)=1/15(18)	$- \frac{9}{15} \frac{d θ}{d t} = \frac{1}{15} (18)$
62241	Solve for t	(dA)/(dt)=-3A	$\frac{d A}{d t} = - 3 A$
62242	Solve for t	log base 3 of t=2	$\log_{3} (t) = 2$
62243	Solve for t	128t-16t^2=0	$128 t - 16 t^{2} = 0$
62244	Solve for t	10t^2-13t=3	$10 t^{2} - 13 t = 3$
62245	Solve for t	0=-9.8t+32	$0 = - 9.8 t + 32$
62246	Solve for t	10=4+21t-16t^2	$10 = 4 + 21 t - 16 t^{2}$
62247	Solve for t	0=-16t^2+96t+432	$0 = - 16 t^{2} + 96 t + 432$
62248	Solve for t	1936-16t^2=0	$1936 - 16 t^{2} = 0$
62249	Solve for t	144=16t^2	$144 = 16 t^{2}$
62250	Solve for t	2304-16t^2=0	$2304 - 16 t^{2} = 0$
62251	Solve for t	2t=0	$2 t = 0$
62252	Solve for t	3=e^(0.08t)	$3 = e^{0.08 t}$
62253	Solve for t	-32t+50=0	$- 32 t + 50 = 0$
62254	Solve for t	3400000e^(-0.05(t))+200000=100	$3400000 e^{- 0.05 (t)} + 200000 = 100$
62255	Solve for t	35=10^t	$35 = 10^{t}$
62256	Solve for t	-3cos(t)=0	$- 3 \cos (t) = 0$
62257	Identify the Polar Equation	r=4csc(theta)	$r = 4 \csc (θ)$
62258	Identify the Polar Equation	r=-4theta	$r = - 4 θ$
62259	Identify the Polar Equation	r=1/(1-cos(theta))	$r = \frac{1}{1 - \cos (θ)}$
62260	Find the Roots (Zeros)	x^2-4x-12	$x^{2} - 4 x - 12$
62261	Find the Roots (Zeros)	x^2-3x-10	$x^{2} - 3 x - 10$
62262	Find the Roots (Zeros)	x^2-8x-9	$x^{2} - 8 x - 9$
62263	Find the Roots (Zeros)	x^3-13x^2+59x-87	$x^{3} - 13 x^{2} + 59 x - 87$
62264	Find the Roots (Zeros)	x^3-4x^2+3x	$x^{3} - 4 x^{2} + 3 x$
62265	Find the Roots (Zeros)	x^4+5x^3-4x^2-20x	$x^{4} + 5 x^{3} - 4 x^{2} - 20 x$
62266	Find the Roots (Zeros)	12x^2-24x	$12 x^{2} - 24 x$
62267	Find the Roots (Zeros)	10x^3-33x^2+8x+3	$10 x^{3} - 33 x^{2} + 8 x + 3$
62268	Find the Roots (Zeros)	6x-6	$6 x - 6$
62269	Find the Roots (Zeros)	3x^2+1	$3 x^{2} + 1$
62270	Find the Roots (Zeros)	3x^2-12x+8	$3 x^{2} - 12 x + 8$
62271	Find the Domain	f(x)=(x+9)/(x-9)	$f (x) = \frac{x + 9}{x - 9}$
62272	Find the Domain	f(x)=3x(x-3)^3	$f (x) = 3 x {(x - 3)}^{3}$
62273	Reduce the Fraction	(32^6)/(4^6)	$\frac{32^{6}}{4^{6}}$
62274	Find the Domain	f(x)=( square root of x+1)/( square root of 7-x)	$f (x) = \frac{\sqrt{x + 1}}{\sqrt{7 - x}}$
62275	Find the Domain	f(x)=1/(x^2-9)	$f (x) = \frac{1}{x^{2} - 9}$
62276	Find the Domain	g(x)=1/( square root of 3-x)	$g (x) = \frac{1}{\sqrt{3 - x}}$
62277	Find the Function	p'(x)=-9000/((3x+50)^2)	$p' (x) = \frac{- 9000}{{(3 x + 50)}^{2}}$
62278	Find the Function	s'(t)=-40t^(2/3)	$s' (t) = - 40 t^{\frac{2}{3}}$
62279	Find the Volume	x=(y^2)/2 , x=0 , y=-2 , y=2	$x = \frac{y^{2}}{2}$ , $x = 0$ , $y = - 2$ , $y = 2$
62280	Find the Function	f'(x)=8x-3	$f' (x) = 8 x - 3$
62281	Find the Function	f'(x)=8x-7	$f' (x) = 8 x - 7$
62282	Find the x and y Intercepts	x^3-9x	$x^{3} - 9 x$
62283	Find the x and y Intercepts	x^4+16x^3	$x^{4} + 16 x^{3}$
62284	Find the Function	D'(x)=-3000/(x^2)	$D' (x) = - \frac{3000}{x^{2}}$
62285	Find the x and y Intercepts	x^4-6x^2-3	$x^{4} - 6 x^{2} - 3$
62286	Find the Volume	y = square root of 36-x^2 , y=0	$y = \sqrt{36 - x^{2}}$ , $y = 0$
62287	Find the Volume	y=-x^2+4 , y=0	$y = - x^{2} + 4$ , $y = 0$
62288	Find the Volume	y=8x^3 , y=0 , x=1	$y = 8 x^{3}$ , $y = 0$ , $x = 1$
62289	Find the Volume	y=x^2 , y=4	$y = x^{2}$ , $y = 4$
62290	Find the Volume	y=2x^2+1 , y=2x+9	$y = 2 x^{2} + 1$ , $y = 2 x + 9$
62291	Find the x and y Intercepts	2x^6-3x^5	$2 x^{6} - 3 x^{5}$
62292	Find the x and y Intercepts	4x^6-5x^5	$4 x^{6} - 5 x^{5}$
62293	Find the x and y Intercepts	x^2-5x+6	$x^{2} - 5 x + 6$
62294	Find the x and y Intercepts	2x^3+2x^2-24x	$2 x^{3} + 2 x^{2} - 24 x$
62295	Find the x and y Intercepts	(x^2-7x+26)/(x-5)	$\frac{x^{2} - 7 x + 26}{x - 5}$
62296	Find @FORMULA	f(x)=x^2+x	$f (x) = x^{2} + x$
62297	Find the Focus	y^2=2x	$y^{2} = 2 x$
62298	Find @FORMULA	f(x)=1/2x^2	$f (x) = \frac{1}{2} x^{2}$
62299	Evaluate the Derivative at x=3	f(x)=1/3x^3-x+2 ; x=3	$f (x) = \frac{1}{3} x^{3} - x + 2$ ; $x = 3$
62300	Find the Antiderivative	(dy)/(dx)=2x-y	$\frac{d y}{d x} = 2 x - y$