Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
19901	Solve for ?	1+csc(x)^2=cot(x)^2	$1 + \csc^{2} (x) = \cot^{2} (x)$
19902	Solve for ?	5cos(x)-4=0	$5 \cos (x) - 4 = 0$
19903	Solve for ?	2sin(x)^2-cos(x)=1	$2 \sin^{2} (x) - \cos (x) = 1$
19904	Solve for ?	8sec(x)^2-6sec(x)-20=0	$8 \sec^{2} (x) - 6 \sec (x) - 20 = 0$
19905	Solve for c	12=1/3*(1)^3+c	$12 = \frac{1}{3} \cdot {(1)}^{3} + c$
19906	Solve for c	5=2(1)^2+c	$5 = 2 {(1)}^{2} + c$
19907	Solve for c	c(4)=17(4)^2e^(-(4))	$c (4) = 17 {(4)}^{2} e^{- (4)}$
19908	Solve for c	4c^3+16c^2+13c-33=0	$4 c^{3} + 16 c^{2} + 13 c - 33 = 0$
19909	Solve for a	a=100e^(0.06(8))	$a = 100 e^{0.06 (8)}$
19910	Solve for b	6=1/12*(36)+b	$6 = \frac{1}{12} \cdot (36) + b$
19911	Solve for b	b=(12sin(76))/(sin(61))	$b = \frac{12 \sin (76)}{\sin (61)}$
19912	Solve for b	-35=-8b-3b	$- 35 = - 8 b - 3 b$
19913	Solve for C	(3(4)^2)/2-6*4+C=5	$\frac{3 {(4)}^{2}}{2} - 6 \cdot 4 + C = 5$
19914	Solve for C	6/pi = natural log of (sec(5pie^(- natural log of 4)))+tan(5pie^(- natural log of 4))+C	$\frac{6}{π} = \ln ((\sec (5 π e^{- \ln (4)})) + \tan (5 π e^{- \ln (4)})) + C$
19915	Solve for C	12=1/3+4+C	$12 = \frac{1}{3} + 4 + C$
19916	Solve for d	(dy)/(dx)=9 square root of xy	$\frac{d y}{d x} = 9 \sqrt{x y}$
19917	Solve for h	156=h+2pr	$156 = h + 2 p r$
19918	Solve for h	48-2pr=h	$48 - 2 p r = h$
19919	Solve for h	A=-h^2+20h	$A = - h^{2} + 20 h$
19920	Solve for h	84=h+2pr	$84 = h + 2 p r$
19921	Solve for g	g(-4b)=6x+8	$g (- 4 b) = 6 x + 8$
19922	Solve for h	h=6-5.5	$h = 6 - 5.5$
19923	Solve for h	h=19.2t-0.5*(9.8t^2)	$h = 19.2 t - 0.5 \cdot (9.8 t^{2})$
19924	Solve for K	(x-k)^2=K^2+2x+x^2	${(x - k)}^{2} = K^{2} + 2 x + x^{2}$
19925	Solve for k	e^(2k)=4	$e^{2 k} = 4$
19926	Solve for k	8=4.6k	$8 = 4.6 k$
19927	Solve for d	(dy)/(dx)=(3x^2-2)/(2y-1)	$\frac{d y}{d x} = \frac{3 x^{2} - 2}{2 y - 1}$
19928	Find the Derivative - d/d@VAR	f(x)=csc(tan(3^(x^2)))	$f (x) = \csc (\tan (3^{x^{2}}))$
19929	Solve for d	(dy)/(dx)=x square root of 1-y^2	$\frac{d y}{d x} = x \sqrt{1 - y^{2}}$
19930	Find the Derivative - d/d@VAR	f(x)=8-x^2	$f (x) = 8 - x^{2}$
19931	Solve for C	C=4x+(8y(45000))/x	$C = 4 x + \frac{8 y (45000)}{x}$
19932	Solve for d	d/(dx)*y=4x^7+x^(-1/5)	$\frac{d}{d x} \cdot y = 4 x^{7} + x^{- \frac{1}{5}}$
19933	Solve for d	(dv)/(dt)=-g-k/m*v^2	$\frac{d v}{d t} = - g - \frac{k}{m} \cdot v^{2}$
19934	Solve for d	(dy)/(dt)=21t^6	$\frac{d y}{d t} = 21 t^{6}$
19935	Find the Area Between the Curves	4x+y^2=32 , x=y	$4 x + y^{2} = 32$ , $x = y$
19936	Find the Area Between the Curves	2x-y=4 , -2x+y=4	$2 x - y = 4$ , $- 2 x + y = 4$
19937	Find the Area Between the Curves	4x-y=-9 , x-y=-3	$4 x - y = - 9$ , $x - y = - 3$
19938	Find the Area Between the Curves	x=0 , x=4 , y=2e^(3x) , y=e^(3x)+e^9	$x = 0$ , $x = 4$ , $y = 2 e^{3 x}$ , $y = e^{3 x} + e^{9}$
19939	Find the Area Between the Curves	x=0 , x=3 , y=2e^(4x) , y=e^(4x)+e^8	$x = 0$ , $x = 3$ , $y = 2 e^{4 x}$ , $y = e^{4 x} + e^{8}$
19940	Find the Area Between the Curves	x=1-y^2 , x=y^2-1	$x = 1 - y^{2}$ , $x = y^{2} - 1$
19941	Find the Area Between the Curves	v=cos(pi/2t) , s(0)=1	$v = \cos (\frac{π}{2} t)$ , $s (0) = 1$
19942	Solve the Function Operation	V(r)=(4/3)pr^3 , V(r+3)	$V (r) = (\frac{4}{3}) p r^{3}$ , $V (r + 3)$
19943	Find the Area Between the Curves	x=-2 , x=3 , y=2x^2+10 , y=0	$x = - 2$ , $x = 3$ , $y = 2 x^{2} + 10$ , $y = 0$
19944	Find the Area Between the Curves	x=24y^2-8y^3 , x=6y^2-18y	$x = 24 y^{2} - 8 y^{3}$ , $x = 6 y^{2} - 18 y$
19945	Find the Area Between the Curves	x=-2 , x=1 , y=10x , y=x^2-11	$x = - 2$ , $x = 1$ , $y = 10 x$ , $y = x^{2} - 11$
19946	Find the Area Between the Curves	x=-3 , x=2 , y=5e^(5x) , y=4e^(5x)+1	$x = - 3$ , $x = 2$ , $y = 5 e^{5 x}$ , $y = 4 e^{5 x} + 1$
19947	Find the Area Between the Curves	x=3-y^2 , x=y+1	$x = 3 - y^{2}$ , $x = y + 1$
19948	Find the Area Between the Curves	x=3t , y=1-t , t=3	$x = 3 t$ , $y = 1 - t$ , $t = 3$
19949	Find the Area Between the Curves	x=3t , y=4-t , t=3	$x = 3 t$ , $y = 4 - t$ , $t = 3$
19950	Find the Area Between the Curves	x=3t , y=5-t	$x = 3 t$ , $y = 5 - t$
19951	Find the Area Between the Curves	x=-5 , x=1 , y=x , y=x^2-2	$x = - 5$ , $x = 1$ , $y = x$ , $y = x^{2} - 2$
19952	Find the Area Between the Curves	x=4t , y=4-t , t=2	$x = 4 t$ , $y = 4 - t$ , $t = 2$
19953	Find the Area Between the Curves	xy=1 , (dy)/(dt)=-4 , x=2	$x y = 1$ , $\frac{d y}{d t} = - 4$ , $x = 2$
19954	Find the Area Between the Curves	y=(x-1)^3 , y=x-1	$y = {(x - 1)}^{3}$ , $y = x - 1$
19955	Solve the Function Operation	f(x)=3x^2 , (f(x+h)-f(x))/h	$f (x) = 3 x^{2}$ , $\frac{f (x + h) - f (x)}{h}$
19956	Solve the Function Operation	g(x)=ax^2+bx+c , f(x)=e^x , x=0	$g (x) = a x^{2} + b x + c$ , $f (x) = e^{x}$ , $x = 0$
19957	Solve the Function Operation	f(x)=3^xg(x)x^2+2 , gof+(x)
19958	Solve the Function Operation	f(x)=e^x , f'(16)	$f (x) = e^{x}$ , $f' (16)$
19959	Solve the Function Operation	f(x)=-x^2+8x-6 , f''(x)	$f (x) = - x^{2} + 8 x - 6$ , $f'' (x)$
19960	Solve the Function Operation	f(x)=4- cube root of 6x+5 , f(20)	$f (x) = 4 - \sqrt[3]{6 x + 5}$ , $f (20)$
19961	Solve the Function Operation	(f(x+h)-f(x))/h , f(x)=x^2-x+4	$\frac{f (x + h) - f (x)}{h}$ , $f (x) = x^{2} - x + 4$
19962	Solve the Function Operation	f(x)=970+15x-4x^2 , f(17)	$f (x) = 970 + 15 x - 4 x^{2}$ , $f (17)$
19963	Solve the Function Operation	y(t)=-5cos(t) , t=0	$y (t) = - 5 \cos (t)$ , $t = 0$
19964	Find the 3rd Derivative	y=(4x-1)^(1/2)	$y = {(4 x - 1)}^{\frac{1}{2}}$
19965	Solve the Function Operation	f(x)=-3x , g(x)=-5-(5x)/2 , gof
19966	Find the Area Between the Curves	x^2+y^2=49 , x+y=-9	$x^{2} + y^{2} = 49$ , $x + y = - 9$
19967	Solve the Function Operation	f(x)=3x , g(x)=4x^2 , (f-g)(x)	$f (x) = 3 x$ , $g (x) = 4 x^{2}$ , $(f - g) (x)$
19968	Solve the Function Operation	f(x) = square root of 3x-5 , h(x)=x/(1+x^2) , foh
19969	Solve the Function Operation	f(x) = square root of x+2 , g(x)=x^2-1 , (f-g)(x)	$f (x) = \sqrt{x + 2}$ , $g (x) = x^{2} - 1$ , $(f - g) (x)$
19970	Expand the Logarithmic Expression	log of 56	$\log (56)$
19971	Solve the Function Operation	f(x)=x^3+3 , g(x) = cube root of x , (g*f)(x)	$f (x) = x^{3} + 3$ , $g (x) = \sqrt[3]{x}$ , $(g \cdot f) (x)$
19972	Solve the Function Operation	f(x)=10x^2+4x+2 , g(x)=x+10 , fog
19973	Solve the Function Operation	f(x)=2x+1 , g(x)=2x^2-1 , g(f(m+2))	$f (x) = 2 x + 1$ , $g (x) = 2 x^{2} - 1$ , $g (f (m + 2))$
19974	Find the Derivative - d/d@VAR	V(r)=4/3*(pir^3)	$V (r) = \frac{4}{3} \cdot (π r^{3})$
19975	Expand the Logarithmic Expression	log of fifth root of 10	$\log (\sqrt[5]{10})$
19976	Expand the Logarithmic Expression	log base 7 of 1/343	$\log_{7} (\frac{1}{343})$
19977	Find the Derivative - d/d@VAR	f(x)=(2x-1)^3	$f (x) = {(2 x - 1)}^{3}$
19978	Expand the Logarithmic Expression	2 log of 8	$2 \log (8)$
19979	Expand the Logarithmic Expression	-9.8/2+3200((2900-160)/160* natural log of (29000-160)/29000-(29000-160)/160+29000/160)	$- \frac{9.8}{2} + 3200 (\frac{2900 - 160}{160} \cdot \ln (\frac{29000 - 160}{29000}) - \frac{29000 - 160}{160} + \frac{29000}{160})$
19980	Find the Derivative - d/d@VAR	f(x)=12e^x	$f (x) = 12 e^{x}$
19981	Expand the Logarithmic Expression	10^8 log of 10^8	$10^{8} \log (10^{8})$
19982	Expand the Logarithmic Expression	log base 20 of 410/1234	$\log_{20} (\frac{410}{1234})$
19983	Expand the Logarithmic Expression	log base 3 of 1/9=x	$\log_{3} (\frac{1}{9}) = x$
19984	Evaluate	p(-1/(6e^(6( natural log of 2))))	$p (- \frac{1}{6 e^{6 (\ln (2))}})$
19985	Evaluate	log of 367	$\log (367)$
19986	Evaluate	log of 3.8	$\log (3.8)$
19987	Evaluate	log of 3*1	$\log (3) \cdot 1$
19988	Evaluate	log of 16.7	$\log (16.7)$
19989	Evaluate	log of 64000000	$\log (64000000)$
19990	Evaluate	natural log of a+b+ natural log of a-b-8 natural log of c	$\ln (a + b) + \ln (a - b) - 8 \ln (c)$
19991	Evaluate	natural log of cos(2pi)	$\ln (\cos (2 π))$
19992	Evaluate	natural log of 7x	$\ln (7 x)$
19993	Evaluate	natural log of natural log of e^(e^3)	$\ln (\ln (e^{e^{3}}))$
19994	Evaluate	natural log of 4e	$\ln (4 e)$
19995	Evaluate	natural log of 53	$\ln (53)$
19996	Evaluate	natural log of 6-(3e^(- natural log of 6)-17 natural log of 6)/(-3e^(- natural log of 6)-17)	$\ln (6) - \frac{3 e^{- \ln (6)} - 17 \ln (6)}{- 3 e^{- \ln (6)} - 17}$
19997	Evaluate	natural log of 96	$\ln (96)$
19998	Evaluate	natural log of 2x-1/2* natural log of x^2+1+2 natural log of x+1	$\ln (2 x) - \frac{1}{2} \cdot \ln (x^{2} + 1) + 2 \ln (x + 1)$
19999	Evaluate	natural log of 3+3i	$\ln (3 + 3 i)$
20000	Evaluate	natural log of 2e^(2x)	$\ln (2 e^{2 x})$