Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
45901	Multiply	-32(3.5)	$- 32 (3.5)$
45902	Multiply	(4-z^2)(z^3-3z+4)	$(4 - z^{2}) (z^{3} - 3 z + 4)$
45903	Multiply	cos(x)*cos(x)	$\cos (x) \cdot \cos (x)$
45904	Multiply	-16*4	$- 16 \cdot 4$
45905	Multiply	infinity*0	$\infty \cdot 0$
45906	Multiply	2x*2y	$2 x \cdot 2 y$
45907	Multiply	(3x+3)^2	${(3 x + 3)}^{2}$
45908	Multiply	25*6	$25 \cdot 6$
45909	Multiply	16*25	$16 \cdot 25$
45910	Multiply	(x-5)(x+1)	$(x - 5) (x + 1)$
45911	Evaluate the Summation	sum from k=1 to 30 of k(k+1)	$\sum_{k = 1}^{30} k (k + 1)$
45912	Evaluate the Summation	sum from n=2 to 6 of ((n-1)!)/2	$\sum_{n = 2}^{6} \frac{(n - 1)!}{2}$
45913	Evaluate the Summation	sum from k=5 to 9 of cos(kpi)	$\sum_{k = 5}^{9} \cos (k π)$
45914	Evaluate the Summation	sum from n=1 to 5 of (1/6)^(n-1)	$\sum_{n = 1}^{5} {(\frac{1}{6})}^{n - 1}$
45915	Evaluate the Summation	sum from n=1 to 90 of 3n-5	$\sum_{n = 1}^{90} 3 n - 5$
45916	Find the x and y Intercepts	f(x)=(x^2+16)/x	$f (x) = \frac{x^{2} + 16}{x}$
45917	Find the x and y Intercepts	r(x)=(x^3+64)/(x^2+16)	$r (x) = \frac{x^{3} + 64}{x^{2} + 16}$
45918	Find the Value Using the Unit Circle	(8pi)/3	$\frac{8 π}{3}$
45919	Find the x and y Intercepts	f(x) = natural log of x+2	$f (x) = \ln (x) + 2$
45920	Evaluate the Summation	sum from j=1 to 5 of 3j-6	$\sum_{j = 1}^{5} 3 j - 6$
45921	Evaluate the Summation	sum from n=0 to 4 of sin((npi)/2)	$\sum_{n = 0}^{4} \sin (\frac{n π}{2})$
45922	Evaluate the Summation	sum from k=2 to 5 of 3k-1	$\sum_{k = 2}^{5} 3 k - 1$
45923	Evaluate the Summation	10+ sum from n=1 to 5 of n^3-1	$10 + \sum_{n = 1}^{5} n^{3} - 1$
45924	Evaluate the Summation	sum from x=1 to 100 of x	$\sum_{x = 1}^{100} x$
45925	Evaluate the Summation	sum from i=1 to 31 of -3-4i	$\sum_{i = 1}^{31} - 3 - 4 i$
45926	Evaluate the Summation	sum from i=0 to 3 of 3i-7j	$\sum_{i = 0}^{3} 3 i - 7 j$
45927	Evaluate the Summation	sum from i=1 to 24 of 6i	$\sum_{i = 1}^{24} 6 i$
45928	Evaluate the Summation	sum from i=5 to 24 of 2i^2-i+3+8	$\sum_{i = 5}^{24} (2 i^{2} - i + 3) + 8$
45929	Evaluate the Summation	sum from i=1 to 4 of 3i	$\sum_{i = 1}^{4} 3 i$
45930	Find the Maximum/Minimum Value	f(x)=x^2-6x+11	$f (x) = x^{2} - 6 x + 11$
45931	Find the Maximum/Minimum Value	f(x)=x^3-6x^2-15x+11	$f (x) = x^{3} - 6 x^{2} - 15 x + 11$
45932	Find the Maximum/Minimum Value	f(x)=-x^2+8x-7	$f (x) = - x^{2} + 8 x - 7$
45933	Find the Maximum/Minimum Value	T(t)=-0.1t^2+1.4t+98.6	$T (t) = - 0.1 t^{2} + 1.4 t + 98.6$
45934	Find the Maximum/Minimum Value	f(x)=-3x^2+6x-4	$f (x) = - 3 x^{2} + 6 x - 4$
45935	Find the Maximum/Minimum Value	f(x)=sin(x)+cos(x)	$f (x) = \sin (x) + \cos (x)$
45936	Find the Maximum/Minimum Value	f(x)=x^2-12x+32	$f (x) = x^{2} - 12 x + 32$
45937	Find the Tangent Line at x=2	f(x)=x^4-5x^2+4 ; x=2	$f (x) = x^{4} - 5 x^{2} + 4$ ; $x = 2$
45938	Find the Tangent Line at x=1	f(x)=x^4-25x^2+144 ; x=1	$f (x) = x^{4} - 25 x^{2} + 144$ ; $x = 1$
45939	Find the Tangent Line at a=0	f(x)=2x^2-7x+5 , a=0	$f (x) = 2 x^{2} - 7 x + 5$ , $a = 0$
45940	Find the Tangent Line at x=1	f(x)=(10x-6)^(1/2) , x=1	$f (x) = {(10 x - 6)}^{\frac{1}{2}}$ , $x = 1$
45941	Find the Critical Points	(x^3)/3+(x^2)/2-2x+1	$\frac{x^{3}}{3} + \frac{x^{2}}{2} - 2 x + 1$
45942	Find the Critical Points	(x^2-2x+1)/x	$\frac{x^{2} - 2 x + 1}{x}$
45943	Find the Critical Points	(p-1)/(p^2+4)	$\frac{p - 1}{p^{2} + 4}$
45944	Find the Critical Points	4x^3-144x	$4 x^{3} - 144 x$
45945	Find the Critical Points	7x^2-8x	$7 x^{2} - 8 x$
45946	Find the Critical Points	x^3-75x	$x^{3} - 75 x$
45947	Find the Critical Points	-x^2+5	$- x^{2} + 5$
45948	Find the Critical Points	x^7-7x^5	$x^{7} - 7 x^{5}$
45949	Find the Critical Points	xe^(-4x)	$x e^{- 4 x}$
45950	Find the Critical Points	x^8(x-3)^7	$x^{8} {(x - 3)}^{7}$
45951	Find the Critical Points	x^4-4x+8	$x^{4} - 4 x + 8$
45952	Find the Critical Points	x^3-8x^2-12x+8	$x^{3} - 8 x^{2} - 12 x + 8$
45953	Find the Critical Points	x^3-12x-5	$x^{3} - 12 x - 5$
45954	Find the Critical Points	x^3-12x-3	$x^{3} - 12 x - 3$
45955	Find the Critical Points	5x^3+15x-6	$5 x^{3} + 15 x - 6$
45956	Find the Critical Points	-5x^3+15x+6	$- 5 x^{3} + 15 x + 6$
45957	Find the Critical Points	4x^4-24x^2	$4 x^{4} - 24 x^{2}$
45958	Find the Critical Points	x^2+128/x	$x^{2} + \frac{128}{x}$
45959	Find the Critical Points	8x^3-12x^2-144x	$8 x^{3} - 12 x^{2} - 144 x$
45960	Convert to a Simplified Fraction	0.143	$0.143$
45961	Solve by Factoring	6x^2+66x+168=0	$6 x^{2} + 66 x + 168 = 0$
45962	Write in Standard Form	(-8+ square root of -12)/40	$\frac{- 8 + \sqrt{- 12}}{40}$
45963	Evaluate from the Right	limit as x approaches (9pi)/2 of e^(tan(x))	$lim_{x \to \frac{9 π}{2}} e^{\tan (x)}$
45964	Evaluate from the Right	limit as x approaches infinity of (1-1/x)^x	$lim_{x \to \infty} {(1 - \frac{1}{x})}^{x}$
45965	Evaluate from the Right	limit as x approaches infinity of ( square root of x+x^2)/(2x-x^2)	$lim_{x \to \infty} \frac{\sqrt{x} + x^{2}}{2 x - x^{2}}$
45966	Evaluate from the Right	limit as x approaches (9pi)/2 from the right of e^(tan(x))	$lim_{x \to \frac{9 π}{2}} e^{\tan (x)}$
45967	Evaluate from the Right	limit as x approaches 0 of (1/x)^x	$lim_{x \to 0} {(\frac{1}{x})}^{x}$
45968	Convert to a Simplified Fraction	0.001	$0.001$
45969	Find the Number of Possibilities	(14 choose 78)(14 choose 78)	$({}_{14}C_{7} \cdot 8) ({}_{14}C_{7} \cdot 8)$
45970	Find the Inverse	square root of x^2-25	$\sqrt{x^{2} - 25}$
45971	Find Where Increasing/Decreasing Using Derivatives	y=-100x^(-1/4)	$y = - 100 x^{- \frac{1}{4}}$
45972	Find Where Increasing/Decreasing Using Derivatives	y=x^7+x^5+3	$y = x^{7} + x^{5} + 3$
45973	Find Where Increasing/Decreasing Using Derivatives	f'(x)=25x^2-9	$f' (x) = 25 x^{2} - 9$
45974	Find the Domain and Range	f(x)=1/5x-1/6	$f (x) = \frac{1}{5} x - \frac{1}{6}$
45975	Find the Domain and Range	f(x)=\|x\|+2	$f (x) = \| x \| + 2$
45976	Find the Domain and Range	h(x) = square root of 4-x^2	$h (x) = \sqrt{4 - x^{2}}$
45977	Find the Domain and Range	f(x)=e^(x-3)	$f (x) = e^{x - 3}$
45978	Find the Domain and Range	f(x)=1/10	$f (x) = \frac{1}{10}$
45979	Find the Derivative Using Product Rule - d/dx	y=x^9*x^4	$y = x^{9} \cdot x^{4}$
45980	Find the Derivative Using Product Rule - d/dx	y=(4x^2+9)(2x-3+7/x)	$y = (4 x^{2} + 9) (2 x - 3 + \frac{7}{x})$
45981	Find the Derivative Using Product Rule - d/dx	y=(5x^2+2)(3x-5)	$y = (5 x^{2} + 2) (3 x - 5)$
45982	Find the Derivative Using Product Rule - d/dx	y=(csc(x)+cot(x))(csc(x)-cot(x))	$y = (\csc (x) + \cot (x)) (\csc (x) - \cot (x))$
45983	Find the Derivative Using Product Rule - d/dx	y=(2x^2+5)(3x-4)	$y = (2 x^{2} + 5) (3 x - 4)$
45984	Find the Derivative Using Product Rule - d/dz	(9z^4+3z^2+1)(3z^3-z)	$(9 z^{4} + 3 z^{2} + 1) (3 z^{3} - z)$
45985	Find the Derivative Using Product Rule - d/dc	z=u^(3/2)(u+ce^u)	$z = u^{\frac{3}{2}} (u + c e^{u})$
45986	Find the Derivative Using Product Rule - d/dd	d/(dx)(2x*d/(dx)(x-2x^2))	$\frac{d}{d x} (2 x \cdot \frac{d}{d x} (x - 2 x^{2}))$
45987	Find the Derivative Using Product Rule - d/d@VAR	h(z)=(5-z^2)(z^3-5z+4)	$h (z) = (5 - z^{2}) (z^{3} - 5 z + 4)$
45988	Find the Concavity	y=-6x^3+8x^2+6x-5	$y = - 6 x^{3} + 8 x^{2} + 6 x - 5$
45989	Find the Slope of a Perpendicular Line	y=1/3x	$y = \frac{1}{3} x$
45990	Find the Trig Value	tan(theta)=- square root of 3	$\tan (θ) = - \sqrt{3}$
45991	Evaluate the Function	f(3)=((x-2)^2-x)^2	$f (3) = {({(x - 2)}^{2} - x)}^{2}$
45992	Evaluate the Function	f(x)=1/27(x^5+2x^3) a=-11	$f (x) = \frac{1}{27} (x^{5} + 2 x^{3})$ $a = - 11$
45993	Evaluate the Function	f(2)=x^2-3	$f (2) = x^{2} - 3$
45994	Evaluate the Function	x=f(p)=30(15-p)	$x = f (p) = 30 (15 - p)$
45995	Evaluate the Function	f(x)=(x+7)/(x-7) ; x=0	$f (x) = \frac{x + 7}{x - 7}$ ; $x = 0$
45996	Evaluate the Function	f(2)=8/x	$f (2) = \frac{8}{x}$
45997	Evaluate the Function	f(x)=2^90	$f (x) = 2^{90}$
45998	Evaluate the Function	f(1)=cos(x)-x^3	$f (1) = \cos (x) - x^{3}$
45999	Find the Concavity	y=-x^3+9x^2-5	$y = - x^{3} + 9 x^{2} - 5$
46000	Find the Tangent at a Given Point Using the Limit Definition	x+2x-2 , (2,7)	$x + 2 x - 2$ , $(2, 7)$