Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
2101	Evaluate the Summation	sum from i=1 to 4 of 4n+1	$\sum_{i = 1}^{4} 4 n + 1$
2102	Evaluate the Summation	sum from i=1 to 5 of 5i+3	$\sum_{i = 1}^{5} 5 i + 3$
2103	Evaluate the Summation	sum from i=1 to 6 of 4i-2	$\sum_{i = 1}^{6} 4 i - 2$
2104	Evaluate the Summation	sum from i=1 to 8 of 0.8^i	$\sum_{i = 1}^{8} {(0.8)}^{i}$
2105	Evaluate the Summation	sum from i=1 to 8 of 3i	$\sum_{i = 1}^{8} 3 i$
2106	Evaluate the Summation	sum from i=3 to 8 of -5i+2	$\sum_{i = 3}^{8} - 5 i + 2$
2107	Find g(f(x))	f(x) = square root of 2x+4 , g(x) = square root of 9x-16	$f (x) = \sqrt{2 x + 4}$ , $g (x) = \sqrt{9 x - 16}$
2108	Find f(h(x))	f(x)=x+1 , h(x)=5	$f (x) = x + 1$ , $h (x) = 5$
2109	Find g(f(x))	f(x)=2x-3 , g(x)=x+1	$f (x) = 2 x - 3$ , $g (x) = x + 1$
2110	Find p(D(x))	p(x)=3x^2+5x-4 , D(x)=x+3	$p (x) = 3 x^{2} + 5 x - 4$ , $D (x) = x + 3$
2111	Find q(r(x))	q(x)=x^2+6 , r(x) = square root of x+1	$q (x) = x^{2} + 6$ , $r (x) = \sqrt{x + 1}$
2112	Multiply the Matrices	[[-2,0,4],[6,-5,7]]*[[2,9],[-8,0],[10,-11]]	$[\begin{array}{c} - 2 & 0 & 4 \\ 6 & - 5 & 7 \end{array}] \cdot [\begin{array}{c} 2 & 9 \\ - 8 & 0 \\ 10 & - 11 \end{array}]$
2113	Multiply the Matrices	[[5,-1,4,0],[8,5,2,1],[9,8,3,0]]*[[6,8,10],[1,2,7]]	$[\begin{array}{c} 5 & - 1 & 4 & 0 \\ 8 & 5 & 2 & 1 \\ 9 & 8 & 3 & 0 \end{array}] \cdot [\begin{array}{c} 6 & 8 & 10 \\ 1 & 2 & 7 \end{array}]$
2114	Find the Variables	[[16,4,16,4],[-3,13,15,16],[0,2,22,0]]=[[16,4,7x+2,4],[-3,13,15,8x],[0,2,3y-5,0]]	$[\begin{array}{c} 16 & 4 & 16 & 4 \\ - 3 & 13 & 15 & 16 \\ 0 & 2 & 22 & 0 \end{array}] = [\begin{array}{c} 16 & 4 & 7 x + 2 & 4 \\ - 3 & 13 & 15 & 8 x \\ 0 & 2 & 3 y - 5 & 0 \end{array}]$
2115	Evaluate the Limit	limit as x approaches 5 of (x^2-25)/(x^2+x-30)	$lim_{x \to 5} \frac{x^{2} - 25}{x^{2} + x - 30}$
2116	Evaluate the Limit	( limit as x approaches 1 of x^4-1)/(x^6-1)	$\frac{lim_{x \to 1} x^{4} - 1}{x^{6} - 1}$
2117	Find the Inverse	[[5,4],[3,5]]	$[\begin{array}{c} 5 & 4 \\ 3 & 5 \end{array}]$
2118	Find the Inverse	[[6,5],[2,2]]	$[\begin{array}{c} 6 & 5 \\ 2 & 2 \end{array}]$
2119	Solve Using an Augmented Matrix	2x+3y=11 , 3x+3y=9 , x+y+3z=1	$2 x + 3 y = 11$ , $3 x + 3 y = 9$ , $x + y + 3 z = 1$
2120	Solve Using an Augmented Matrix	-8x-3y=-8 , -6x-y=-4	$- 8 x - 3 y = - 8$ , $- 6 x - y = - 4$
2121	Solve Using an Augmented Matrix	x+7y=z+6 , x=2+y-z , x+y-3z=-4	$x + 7 y = z + 6$ , $x = 2 + y - z$ , $x + y - 3 z = - 4$
2122	Solve Using a Matrix by Row Operations	4x+3y+z=7 , x-3y+2z=5 , 11x-2y+3z=10	$4 x + 3 y + z = 7$ , $x - 3 y + 2 z = 5$ , $11 x - 2 y + 3 z = 10$
2123	Solve Using an Augmented Matrix	7x-7y=-7 , -3x+3y=3	$7 x - 7 y = - 7$ , $- 3 x + 3 y = 3$
2124	Find f(g(x))	f(x)=x^2-5x-10 , g(x)=-7x+14	$f (x) = x^{2} - 5 x - 10$ , $g (x) = - 7 x + 14$
2125	Evaluate	log of log of 100^(50x)	$\log (\log (100^{50 x}))$
2126	Evaluate	log base 8 of 1/4	$\log_{8} (\frac{1}{4})$
2127	Evaluate	log base 8 of 1/( square root of 8)	$\log_{8} (\frac{1}{\sqrt{8}})$
2128	Evaluate	log base 7 of 2506	$\log_{7} (2506)$
2129	Evaluate	log base 9 of 15/7	$\log_{9} (\frac{15}{7})$
2130	Evaluate	log base 9 of (19 square root of x)/y	$\log_{9} (\frac{19 \sqrt{x}}{y})$
2131	Evaluate	log base 8 of 8^17	$\log_{8} (8^{17})$
2132	Evaluate	log base 8 of cube root of 64	$\log_{8} (\sqrt[3]{64})$
2133	Evaluate	log base 7 of fifth root of 49	$\log_{7} (\sqrt[5]{49})$
2134	Evaluate	log base 6 of 97	$\log_{6} (97)$
2135	Evaluate	log base 6 of 11*13	$\log_{6} (11 \cdot 13)$
2136	Evaluate	log base 6 of cube root of 1296	$\log_{6} (\sqrt[3]{1296})$
2137	Evaluate	log base 6 of -36	$\log_{6} (- 36)$
2138	Evaluate	log base a of (x^2)/(yz^7)	$\log_{a} (\frac{x^{2}}{y z^{7}})$
2139	Evaluate	log base b of 10	$\log_{b} (10)$
2140	Evaluate	log base b of x^4	$\log_{b} (x^{4})$
2141	Evaluate	10 log of (10^-2)/(10^-12)	$10 \log (\frac{10^{- 2}}{10^{- 12}})$
2142	Evaluate	log base p of 64	$\log_{p} (64)$
2143	Evaluate	natural log of 1/(e^4)	$\ln (\frac{1}{e^{4}})$
2144	Evaluate	log base p of 21	$\log_{p} (21)$
2145	Evaluate	log base p of 48	$\log_{p} (48)$
2146	Evaluate	5 log base 5 of 7	$5 \log_{5} (7)$
2147	Evaluate	3 log of 1/(10^2)	$3 \log (\frac{1}{10^{2}})$
2148	Evaluate	3 log of 10^2	$3 \log (10^{2})$
2149	Evaluate	3 log base 27 of 3	$3 \log_{27} (3)$
2150	Evaluate	2 natural log of cube root of e	$2 \ln (\sqrt[3]{e})$
2151	Evaluate	3 log base 2 of 3	$3 \log_{2} (3)$
2152	Evaluate	2 log base 2 of 3	$2 \log_{2} (3)$
2153	Evaluate	2 log base 2 of 37	$2 \log_{2} (37)$
2154	Evaluate	-2 log base 8 of 5	$- 2 \log_{8} (5)$
2155	Evaluate	natural log of 1/( cube root of e^2)	$\ln (\frac{1}{\sqrt[3]{e^{2}}})$
2156	Evaluate	natural log of 1/(e^(5x))	$\ln (\frac{1}{e^{5 x}})$
2157	Evaluate	e natural log of 6	eln $(6)$
2158	Evaluate	log of 894.3	$\log (894.3)$
2159	Evaluate	log of 76000000	$\log (76000000)$
2160	Evaluate	log of log of 100000^(200x)	$\log (\log (100000^{200 x}))$
2161	Evaluate	log of 5*8	$\log (5) \cdot 8$
2162	Evaluate	log of 5 cube root of 25	$\log (5) \sqrt[3]{25}$
2163	Evaluate	log of 3 square root of 27	$\log (3) \sqrt{27}$
2164	Evaluate	log of 5/7	$\log (\frac{5}{7})$
2165	Evaluate	log of fifth root of 10^9	$\log (\sqrt[5]{10^{9}})$
2166	Evaluate	log of eighth root of x/z	$\log (\sqrt[8]{\frac{x}{z}})$
2167	Evaluate	log of 1000x	$\log (1000 x)$
2168	Evaluate	log of 3(1/27)	$\log (3) (\frac{1}{27})$
2169	Evaluate	log of 14	$\log (14)$
2170	Evaluate	log of 18	$\log (18)$
2171	Evaluate	natural log of e^4.3	$\ln (e^{4.3})$
2172	Evaluate	natural log of square root of e^3	$\ln (\sqrt{e^{3}})$
2173	Evaluate	natural log of square root of ab	$\ln (\sqrt{a b})$
2174	Evaluate	natural log of e^(2/3)	$\ln (e^{\frac{2}{3}})$
2175	Evaluate	natural log of 4/9	$\ln (\frac{4}{9})$
2176	Evaluate	natural log of 0.733	$\ln (0.733)$
2177	Evaluate	natural log of 110	$\ln (110)$
2178	Evaluate	natural log of natural log of e^(e^400)	$\ln (\ln (e^{e^{400}}))$
2179	Evaluate	natural log of 263	$\ln (263)$
2180	Evaluate	natural log of -6	$\ln (- 6)$
2181	Evaluate	natural log of 7e^4	$\ln (7 e^{4})$
2182	Evaluate	log of 1/7	$\log (\frac{1}{7})$
2183	Find Amplitude, Period, and Phase Shift	y=-5cos(3x)	$y = - 5 \cos (3 x)$
2184	Find Amplitude, Period, and Phase Shift	y=5cos(x+pi/4)	$y = 5 \cos (x + \frac{π}{4})$
2185	Find Amplitude, Period, and Phase Shift	y=-5cos(1/4x+pi/4)	$y = - 5 \cos (\frac{1}{4} x + \frac{π}{4})$
2186	Find Amplitude, Period, and Phase Shift	y=-6tan(x)	$y = - 6 \tan (x)$
2187	Find Amplitude, Period, and Phase Shift	y=6sin(pix-2)	$y = 6 \sin (π x - 2)$
2188	Find Amplitude, Period, and Phase Shift	y=9sin(x)	$y = 9 \sin (x)$
2189	Find Amplitude, Period, and Phase Shift	y=cos(x/80)	$y = \cos (\frac{x}{80})$
2190	Find Amplitude, Period, and Phase Shift	y=cos(-2x)	$y = \cos (- 2 x)$
2191	Find Amplitude, Period, and Phase Shift	y=-tan(3x)	$y = - \tan (3 x)$
2192	Find Amplitude, Period, and Phase Shift	y=tan(2x-pi/2)	$y = \tan (2 x - \frac{π}{2})$
2193	Find Amplitude, Period, and Phase Shift	y=tan((3x)/5)	$y = \tan (\frac{3 x}{5})$
2194	Find Amplitude, Period, and Phase Shift	y=csc(1/2x)	$y = \csc (\frac{1}{2} x)$
2195	Find Amplitude, Period, and Phase Shift	y=csc(x/2)	$y = \csc (\frac{x}{2})$
2196	Find Amplitude, Period, and Phase Shift	y=-cot(x)	$y = - \cot (x)$
2197	Find the Reference Angle	-230 degrees	$- 230 °$
2198	Find the Reference Angle	(3pi)/7	$\frac{3 π}{7}$
2199	Find the Reference Angle	(3pi)/8	$\frac{3 π}{8}$
2200	Find the Reference Angle	(11pi)/18	$\frac{11 π}{18}$