Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
62301	Evaluate the Derivative at x=6	f(x)=7x+9 , x=6	$f (x) = 7 x + 9$ , $x = 6$
62302	Find the Reference Angle	276 degrees	$276 °$
62303	Find the Reference Angle	54 degrees	$54 °$
62304	Find the Reference Angle	78tan(42)	$78 \tan (42)$
62305	Find the Reference Angle	329 degrees	$329 °$
62306	Find the Reference Angle	-(56pi)/9	$- \frac{56 π}{9}$
62307	Subtract	-x^2-x^2	$- x^{2} - x^{2}$
62308	Convert Degrees, Minutes, Seconds to Decimal Degrees	7 degrees 39'	$7 ° 39'$
62309	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (x+x^2)/(9-2x^2)	$lim_{x \to \infty} \frac{x + x^{2}}{9 - 2 x^{2}}$
62310	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of ( natural log of x+1)/(e^(5x)-1)	$lim_{x \to 0} \frac{\ln (x + 1)}{e^{5 x} - 1}$
62311	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of ( natural log of x)/(cot(x))	$lim_{x \to 0} \frac{\ln (x)}{\cot (x)}$
62312	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (cos((3pi)/2+x)-cos((3pi)/2))/x	$lim_{x \to 0} \frac{\cos (\frac{3 π}{2} + x) - \cos (\frac{3 π}{2})}{x}$
62313	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (1+2x)^(7/(2 natural log of x))	$lim_{x \to \infty} {(1 + 2 x)}^{\frac{7}{2 \ln (x)}}$
62314	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (4x^3-2x^2+6)/(pix^3+4)	$lim_{x \to \infty} \frac{4 x^{3} - 2 x^{2} + 6}{π x^{3} + 4}$
62315	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of ( natural log of 3x+5)/( natural log of 7x+3+1)	$lim_{x \to \infty} \frac{\ln (3 x + 5)}{\ln (7 x + 3) + 1}$
62316	Evaluate Using L'Hospital's Rule	limit as t approaches -5 of (t^3-5t+100)/(t^2-t-30)	$lim_{t \to - 5} \frac{t^{3} - 5 t + 100}{t^{2} - t - 30}$
62317	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (1-7x)^(1/x)	$lim_{x \to 0} {(1 - 7 x)}^{\frac{1}{x}}$
62318	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (5x^2)/( natural log of sec(x))	$lim_{x \to 0} \frac{5 x^{2}}{\ln (\sec (x))}$
62319	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (f(x)-20e^x)/(0.5f(x)-10)	$lim_{x \to 0} \frac{f (x) - 20 e^{x}}{0.5 f (x) - 10}$
62320	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of ( natural log of x)/(18x-x^2-17)	$lim_{x \to 1} \frac{\ln (x)}{18 x - x^{2} - 17}$
62321	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (tan(7x))/(sin(5x))	$lim_{x \to 0} \frac{\tan (7 x)}{\sin (5 x)}$
62322	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (x-sin(x))/(x-tan(x))	$lim_{x \to 0} \frac{x - \sin (x)}{x - \tan (x)}$
62323	Evaluate Using L'Hospital's Rule	limit as theta approaches pi/2 of (16theta-8pi)/(cos(2pi-theta))	$lim_{θ \to \frac{π}{2}} \frac{16 θ - 8 π}{\cos (2 π - θ)}$
62324	Find the Critical Points	f(x)=x^6e^(-8x)	$f (x) = x^{6} e^{- 8 x}$
62325	Find the Critical Points	f(x)=x+16/x	$f (x) = x + \frac{16}{x}$
62326	Find the Critical Points	f(x)=x+9/x	$f (x) = x + \frac{9}{x}$
62327	Find the Critical Points	g(y)=(y-3)/(y^2-3y+9)	$g (y) = \frac{(y - 3)}{y^{2} - 3 y + 9}$
62328	Find the Critical Points	f(x)=x^5e^(-6x)	$f (x) = x^{5} e^{- 6 x}$
62329	Find the Critical Points	f(x)=x^4-8x^3+18x^2-27	$f (x) = x^{4} - 8 x^{3} + 18 x^{2} - 27$
62330	Find the Critical Points	f(x)=x^4-6x^3	$f (x) = x^{4} - 6 x^{3}$
62331	Find the Critical Points	f(x)=x^2-14x+1	$f (x) = x^{2} - 14 x + 1$
62332	Find the Critical Points	f(x)=x^3-16x^2+64x	$f (x) = x^{3} - 16 x^{2} + 64 x$
62333	Find the Critical Points	f(x)=x^3-12x+5	$f (x) = x^{3} - 12 x + 5$
62334	Find the Critical Points	f(x)=-x^3+6x^2-16	$f (x) = - x^{3} + 6 x^{2} - 16$
62335	Find the Critical Points	f(x)=7x^3-3x^2+7	$f (x) = 7 x^{3} - 3 x^{2} + 7$
62336	Find the Critical Points	f(x)=5x^3-3x^5	$f (x) = 5 x^{3} - 3 x^{5}$
62337	Find the Critical Points	f(x)=6x^3+27x^2-504x+25	$f (x) = 6 x^{3} + 27 x^{2} - 504 x + 25$
62338	Find the Critical Points	f(x)=x-sin(x) , 0<=x<=pi	$f (x) = x - \sin (x)$ , $0 \leq x \leq π$
62339	Find the Critical Points	f(x)=3x^3-6x^2+4	$f (x) = 3 x^{3} - 6 x^{2} + 4$
62340	Find the Critical Points	f(x)=3x^2-5x-1	$f (x) = 3 x^{2} - 5 x - 1$
62341	Find the Critical Points	f(x)=3x^2-5x-2	$f (x) = 3 x^{2} - 5 x - 2$
62342	Find the Critical Points	f(x)=5x^2+3x-4	$f (x) = 5 x^{2} + 3 x - 4$
62343	Find the Critical Points	f(x)=2x^3+3x^2-120x+9	$f (x) = 2 x^{3} + 3 x^{2} - 120 x + 9$
62344	Find the Critical Points	f(x)=2x^3-3x^2+1	$f (x) = 2 x^{3} - 3 x^{2} + 1$
62345	Find the Critical Points	f(x)=(x-2)^(2/3)	$f (x) = {(x - 2)}^{\frac{2}{3}}$
62346	Find the Critical Points	f(x)=(x+5)^6	$f (x) = {(x + 5)}^{6}$
62347	Find the Critical Points	f(x)=(3x^2)/(x^2-16)	$f (x) = \frac{3 x^{2}}{x^{2} - 16}$
62348	Find the Critical Points	f(x)=2/3x^3+3/2x^2-27x+2	$f (x) = \frac{2}{3} x^{3} + \frac{3}{2} x^{2} - 27 x + 2$
62349	Find the Critical Points	f(x)=1/3x^3+3/2x^2+8x-4	$f (x) = \frac{1}{3} x^{3} + \frac{3}{2} x^{2} + 8 x - 4$
62350	Find the Critical Points	f(x)=5/9(4x-1)(x+2)(x-3)	$f (x) = \frac{5}{9} (4 x - 1) (x + 2) (x - 3)$
62351	Write in y=mx+b Form	2x+3y=11	$2 x + 3 y = 11$
62352	Write in y=mx+b Form	3x+2y=5	$3 x + 2 y = 5$
62353	Find All Complex Number Solutions	z^4=-1+ square root of 3i	$z^{4} = - 1 + \sqrt{3} i$
62354	Find the x and y Intercepts	f(x)=7x^4-42x^2	$f (x) = 7 x^{4} - 42 x^{2}$
62355	Find the x and y Intercepts	f(x) = natural log of x^2+4	$f (x) = \ln (x^{2} + 4)$
62356	Find the x and y Intercepts	f(x)=x^4-8x^2+8	$f (x) = x^{4} - 8 x^{2} + 8$
62357	Find the x and y Intercepts	s(x)=x^2-12x+32	$s (x) = x^{2} - 12 x + 32$
62358	Find the x and y Intercepts	f(x)=x^4-3x^2	$f (x) = x^{4} - 3 x^{2}$
62359	Find the x and y Intercepts	f(x)=(x^2-9x+50)/(x-7)	$f (x) = \frac{x^{2} - 9 x + 50}{x - 7}$
62360	Find the x and y Intercepts	f(x)=(x+8)/(x-8)	$f (x) = \frac{x + 8}{x - 8}$
62361	Find the x and y Intercepts	f(x)=5/(x-7)	$f (x) = \frac{5}{x - 7}$
62362	Find da/dx	0=ax^2+bx+c	$0 = a x^{2} + b x + c$
62363	Find dr/dh	a=pir square root of r^2+h^2	$a = π r \sqrt{r^{2} + h^{2}}$
62364	Find dp/dt	p=12/(1+11e^(-0.08t))	$p = \frac{12}{1 + 11 e^{- 0.08 t}}$
62365	Find ds/dt	s=sin(t)-e^(-t)	$s = \sin (t) - e^{- t}$
62366	Find dS/dA	S=360A-0.20A^3	$S = 360 A - 0.2 A^{3}$
62367	Find dx/dy	x^5y^2-x^4y+2xy^3=0	$x^{5} y^{2} - x^{4} y + 2 x y^{3} = 0$
62368	Find dw/dz	w=10z^2e^z	$w = 10 z^{2} e^{z}$
62369	Find dx/dy	f(x,y)=7x^8y^5+2x^4y^6	$f (x, y) = 7 x^{8} y^{5} + 2 x^{4} y^{6}$
62370	Find dx/dy	3y^2-2x^2=6-2xy	$3 y^{2} - 2 x^{2} = 6 - 2 x y$
62371	Find dx/dy	ysec(x)=2xtan(y)	$y \sec (x) = 2 x \tan (y)$
62372	Find dy/dt	y=40t^(3/2)	$y = 40 t^{\frac{3}{2}}$
62373	Find dy/dt	y=3t(2t^2-5)^4	$y = 3 t {(2 t^{2} - 5)}^{4}$
62374	Find dy/dt	y=(5t-1)(2t-6)^-1	$y = (5 t - 1) {(2 t - 6)}^{- 1}$
62375	Find dz/dx	z=e^(xy)	$z = e^{x y}$
62376	Find dy/dt	y=tsin(t)	$y = t \sin (t)$
62377	Find dy/du	y=u^(3/2)	$y = u^{\frac{3}{2}}$
62378	Find dy/dt	y=t( natural log of 9t)^2	$y = t \ln^{2} (9 t)$
62379	Find the Symmetry	y=1/(x^3)	$y = \frac{1}{x^{3}}$
62380	Eliminate the Parameter	x=4cos(t) , y=4sin(t)	$x = 4 \cos (t)$ , $y = 4 \sin (t)$
62381	Eliminate the Parameter	x=1/2t , y=3t^3-1	$x = \frac{1}{2} t$ , $y = 3 t^{3} - 1$
62382	Eliminate the Parameter	x=4t-1 , y=2t^2+3t-4	$x = 4 t - 1$ , $y = 2 t^{2} + 3 t - 4$
62383	Eliminate the Parameter	x=7t , y=t+4	$x = 7 t$ , $y = t + 4$
62384	Eliminate the Parameter	x=2t-4 , y=t+3	$x = 2 t - 4$ , $y = t + 3$
62385	Evaluate Using Summation Formulas	sum from j=1 to 5 of 4j-16	$\sum_{j = 1}^{5} 4 j - 16$
62386	Find the Area Under the Curve	f(x)=6/(8x-1) , [4,8]	$f (x) = \frac{6}{8 x - 1}$ , $[4, 8]$
62387	Evaluate Using Summation Formulas	sum from n=1 to infinity of 3+na	$\sum_{n = 1}^{\infty} 3 + n a$
62388	Evaluate Using Summation Formulas	sum from i=1 to n of i	$\sum_{i = 1}^{n} i$
62389	Evaluate Using Summation Formulas	sum from i=1 to n of i^3	$\sum_{i = 1}^{n} i^{3}$
62390	Evaluate Using Summation Formulas	sum from k=1 to n of (k^2)/6	$\sum_{k = 1}^{n} \frac{k^{2}}{6}$
62391	Evaluate Using Summation Formulas	sum from k=1 to n of (k^2)/8	$\sum_{k = 1}^{n} \frac{k^{2}}{8}$
62392	Find the Area Under the Curve	f(x)=32-2x^2 ; [0,8]	$f (x) = 32 - 2 x^{2}$ ; $[0, 8]$
62393	Find the Area Under the Curve	f(x)=75-3x^2 ; [0,8]	$f (x) = 75 - 3 x^{2}$ ; $[0, 8]$
62394	Find the Roots (Zeros)	3x^2-12=0	$3 x^{2} - 12 = 0$
62395	Find the Area Under the Curve	f(x)=e^x ; [-1,4]	$f (x) = e^{x}$ ; $[- 1, 4]$
62396	Find the Area Under the Curve	f(x)=e^x ; [-2,4]	$f (x) = e^{x}$ ; $[- 2, 4]$
62397	Find the Area Under the Curve	f(x)=3-3x^2 ; [0,4]	$f (x) = 3 - 3 x^{2}$ ; $[0, 4]$
62398	Find the Area Under the Curve	f(x)=36-x^2 ; [-1,12]	$f (x) = 36 - x^{2}$ ; $[- 1, 12]$
62399	Find the Area Under the Curve	f(x)=48-3x^2 ; [0,7]	$f (x) = 48 - 3 x^{2}$ ; $[0, 7]$
62400	Find the Area Under the Curve	f(x)=4e^x-3 ; [-4,3]	$f (x) = 4 e^{x} - 3$ ; $[- 4, 3]$