Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
6501	Use the Rational Roots Test to Find All Possible Roots	x^3-4x^2-5x+18	$x^{3} - 4 x^{2} - 5 x + 18$
6502	Use the Rational Roots Test to Find All Possible Roots	x^4-32x-144	$x^{4} - 32 x - 144$
6503	Use the Rational Roots Test to Find All Possible Roots	x^4-45x^2-196	$x^{4} - 45 x^{2} - 196$
6504	Use the Rational Roots Test to Find All Possible Roots	x^4-7x^3-7x+6	$x^{4} - 7 x^{3} - 7 x + 6$
6505	Use the Rational Roots Test to Find All Possible Roots	y^4-625	$y^{4} - 625$
6506	Use the Rational Roots Test to Find All Possible Roots	sec(xx)^2	$\sec^{2} (x x)$
6507	Graph	y = log of x-2	$y = \log (x) - 2$
6508	Use the Rational Roots Test to Find All Possible Roots	x^4-3x^3+7x-21	$x^{4} - 3 x^{3} + 7 x - 21$
6509	Use the Rational Roots Test to Find All Possible Roots	x^3-8x^2+13x-2	$x^{3} - 8 x^{2} + 13 x - 2$
6510	Use the Rational Roots Test to Find All Possible Roots	24x^3-40x^2+2x+6	$24 x^{3} - 40 x^{2} + 2 x + 6$
6511	Use the Rational Roots Test to Find All Possible Roots	3x^3+39x^2+39x+27	$3 x^{3} + 39 x^{2} + 39 x + 27$
6512	Use the Rational Roots Test to Find All Possible Roots	D(x)=x^3-6x^2+16x-96	$D (x) = x^{3} - 6 x^{2} + 16 x - 96$
6513	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+x^2-37x+35	$f (x) = x^{3} + x^{2} - 37 x + 35$
6514	Use the Rational Roots Test to Find All Possible Roots	3x^4+5x^3+25x^2+45x-18	$3 x^{4} + 5 x^{3} + 25 x^{2} + 45 x - 18$
6515	Use the Rational Roots Test to Find All Possible Roots	16x^10-20x^9-16x^8+57x^7-369x^6+405x^5+641x^4-1612x^3+358x^2+1440x-360	$16 x^{10} - 20 x^{9} - 16 x^{8} + 57 x^{7} - 369 x^{6} + 405 x^{5} + 641 x^{4} - 1612 x^{3} + 358 x^{2} + 1440 x - 360$
6516	Use the Rational Roots Test to Find All Possible Roots	2x^3+5x^2-6x-9	$2 x^{3} + 5 x^{2} - 6 x - 9$
6517	Use the Rational Roots Test to Find All Possible Roots	2x^3-13x^2+22x-8	$2 x^{3} - 13 x^{2} + 22 x - 8$
6518	Use the Rational Roots Test to Find All Possible Roots	(1+cos(x))(1-cos(x))	$(1 + \cos (x)) (1 - \cos (x))$
6519	Use the Rational Roots Test to Find All Possible Roots	f(x)=2x^3+8x^2+7x-8	$f (x) = 2 x^{3} + 8 x^{2} + 7 x - 8$
6520	Use the Rational Roots Test to Find All Possible Roots	9x^5-27x^4-10x^3+30x^2+x-3	$9 x^{5} - 27 x^{4} - 10 x^{3} + 30 x^{2} + x - 3$
6521	Use the Rational Roots Test to Find All Possible Roots	f(x)=-2x^4+4x^3+3x^2+18	$f (x) = - 2 x^{4} + 4 x^{3} + 3 x^{2} + 18$
6522	Use the Rational Roots Test to Find All Possible Roots	(csc(x))/(cot(x))	$\frac{\csc (x)}{\cot (x)}$
6523	Use the Rational Roots Test to Find All Possible Roots	x^3+6x^2-9x-54	$x^{3} + 6 x^{2} - 9 x - 54$
6524	Solve for x	log base 3 of 2x+5-1 = log base 3 of x	$\log_{3} (2 x + 5) - 1 = \log_{3} (x)$
6525	Use the Rational Roots Test to Find All Possible Roots	(sin(x))/(cos(x)*tan(x))	$\frac{\sin (x)}{\cos (x) \cdot \tan (x)}$
6526	Evaluate the Function	f(x)=\|x\|+4 , f(2)	$f (x) = \| x \| + 4$ , $f (2)$
6527	Evaluate the Function	f(t)=100/(1+9e^(-0.1t)) , t=0	$f (t) = \frac{100}{1 + 9 e^{- 0.1 t}}$ , $t = 0$
6528	Simplify	((2a^-1b)/(a^3b^-2))^-2	${(\frac{2 a^{- 1} b}{a^{3} b^{- 2}})}^{- 2}$
6529	Evaluate the Function	f(-7)=(x^2+x-6)/(x^2+3x-10)	$f (- 7) = \frac{x^{2} + x - 6}{x^{2} + 3 x - 10}$
6530	Evaluate the Function	f(-2)=x^4-16	$f (- 2) = x^{4} - 16$
6531	Convert to Interval Notation	y>3x-7	$y > 3 x - 7$
6532	Evaluate the Function	f(2)=2x^2-3	$f (2) = 2 x^{2} - 3$
6533	Evaluate the Function	f(2)=2x+1	$f (2) = 2 x + 1$
6534	Evaluate the Function	f(20)=(11x^2+40x+1040)/(12x^2+230x+2190)	$f (20) = \frac{11 x^{2} + 40 x + 1040}{12 x^{2} + 230 x + 2190}$
6535	Evaluate the Function	f(2)=2(x-2)	$f (2) = 2 (x - 2)$
6536	Evaluate the Function	f(3)=(10x-3)	$f (3) = (10 x - 3)$
6537	Evaluate the Function	f(-3)=(4x-8)/(x^2-3x-4)	$f (- 3) = \frac{4 x - 8}{x^{2} - 3 x - 4}$
6538	Evaluate the Function	f(-3)=x^2+5x	$f (- 3) = x^{2} + 5 x$
6539	Evaluate the Function	f(3)=-4x^3-2	$f (3) = - 4 x^{3} - 2$
6540	Evaluate the Function	f(3)=2x^4-11x^3+11x^2+15x-9	$f (3) = 2 x^{4} - 11 x^{3} + 11 x^{2} + 15 x - 9$
6541	Evaluate the Function	f(3)=2x^4-8x^2+5x-7	$f (3) = 2 x^{4} - 8 x^{2} + 5 x - 7$
6542	Evaluate the Function	f(100)=-0.4x^2+54x-12	$f (100) = - 0.4 x^{2} + 54 x - 12$
6543	Evaluate the Function	f(1250)=12x^2+230x+2190	$f (1250) = 12 x^{2} + 230 x + 2190$
6544	Evaluate the Function	f(1)=4x-6	$f (1) = 4 x - 6$
6545	Evaluate the Function	f(-1.8)=(x^3+x^2)/(x^2-4)	$f (- 1.8) = \frac{x^{3} + x^{2}}{x^{2} - 4}$
6546	Evaluate the Function	f(1)=(x-1)^2	$f (1) = {(x - 1)}^{2}$
6547	Evaluate the Function	f(-5/2)=20x^3+44x^2-17x-5	$f (- \frac{5}{2}) = 20 x^{3} + 44 x^{2} - 17 x - 5$
6548	Evaluate the Function	f(1)=6/(x^2-5x-6)	$f (1) = \frac{6}{x^{2} - 5 x - 6}$
6549	Evaluate the Function	f(1)=-2x^2+x-4	$f (1) = - 2 x^{2} + x - 4$
6550	Evaluate the Function	f(1)=2x^3-3x^2-18x+8	$f (1) = 2 x^{3} - 3 x^{2} - 18 x + 8$
6551	Evaluate the Function	f(1)=2x^4-8x^2+5x-7	$f (1) = 2 x^{4} - 8 x^{2} + 5 x - 7$
6552	Evaluate the Function	f(-1)=2x^2-6	$f (- 1) = 2 x^{2} - 6$
6553	Evaluate the Function	f(-1)=3x^2+2x-4	$f (- 1) = 3 x^{2} + 2 x - 4$
6554	Graph	theta=-(4pi)/3	$θ = - \frac{4 π}{3}$
6555	Graph	2 log base 1/3 of x-1+3	$2 \log_{\frac{1}{3}} (x - 1) + 3$
6556	Convert to Interval Notation	x-1<5	$x - 1 < 5$
6557	Convert to Interval Notation	xy<0	$x y < 0$
6558	Convert to Interval Notation	y>4x-2	$y > 4 x - 2$
6559	Evaluate the Function	f(x^2)=\|x\|+4	$f (x^{2}) = \| x \| + 4$
6560	Evaluate the Function	f(x^2)=\|x^2\|+4	$f (x^{2}) = \| x^{2} \| + 4$
6561	Evaluate the Function	f(x)=x^2-11 , x=0	$f (x) = x^{2} - 11$ , $x = 0$
6562	Evaluate the Function	f(x)=x^2-3 , x=0	$f (x) = x^{2} - 3$ , $x = 0$
6563	Evaluate the Function	f(x)=x^2-1 , x=0	$f (x) = x^{2} - 1$ , $x = 0$
6564	Evaluate the Function	f(x)=16x^4-7x^2+8x-1 , [0.1]	$f (x) = 16 x^{4} - 7 x^{2} + 8 x - 1$ , $[0.1]$
6565	Evaluate the Function	f(x)=x/( square root of 1-x^2) , f(3)	$f (x) = \frac{x}{\sqrt{1 - x^{2}}}$ , $f (3)$
6566	Evaluate the Function	f(x)=x^2-x-12 , x^2-7x+10	$f (x) = x^{2} - x - 12$ , $x^{2} - 7 x + 10$
6567	Evaluate the Function	f(x)=2x^2-x-3 , (f(x+h)-f(x))/h	$f (x) = 2 x^{2} - x - 3$ , $\frac{f (x + h) - f (x)}{h}$
6568	Evaluate the Function	f(r^2)=x/(\|x\|)	$f (r^{2}) = \frac{x}{\| x \|}$
6569	Evaluate the Function	f(x)=5 , -1i-i , 4+i	$f (x) = 5$ , $- 1 i - i$ , $4 + i$
6570	Evaluate the Function	f(x)=50(1-x/20)^2 , f(0)	$f (x) = 50 {(1 - \frac{x}{20})}^{2}$ , $f (0)$
6571	Evaluate the Function	g(-4)=x^2+5	$g (- 4) = x^{2} + 5$
6572	Evaluate the Function	f(x)=9-x , a=2	$f (x) = 9 - x$ , $a = 2$
6573	Evaluate the Function	f(x)=x , x<0	$f (x) = x$ , $x < 0$
6574	Evaluate the Function	h(x)=e^x , h(0.23)	$h (x) = e^{x}$ , $h (0.23)$
6575	Evaluate the Function	w(x)=4x^2-5x+4 , w(3+x)	$w (x) = 4 x^{2} - 5 x + 4$ , $w (3 + x)$
6576	Find the Inverse	f(x)=(x-1)/(x-2)	$f (x) = \frac{x - 1}{x - 2}$
6577	Find the Inverse	f(x)=(x-9)^2	$f (x) = {(x - 9)}^{2}$
6578	Find the Inverse	f(x)=(x+8)^2	$f (x) = {(x + 8)}^{2}$
6579	Find the Inverse	f(x)=(x^2-6)/(7x^2)	$f (x) = \frac{x^{2} - 6}{7 x^{2}}$
6580	Find the Inverse	f(x)=(x^5+1)^3	$f (x) = {(x^{5} + 1)}^{3}$
6581	Find the Inverse	f(x)=(2x+5)^3	$f (x) = {(2 x + 5)}^{3}$
6582	Find the Inverse	f(x)=(8x)/(x-4)	$f (x) = \frac{8 x}{x - 4}$
6583	Find the Inverse	f(x)=(2x-1)/(x+2)	$f (x) = \frac{2 x - 1}{x + 2}$
6584	Evaluate the Difference Quotient	f(x)=x^2-4x+7 , (f(x+h)-f(x))/h	$f (x) = x^{2} - 4 x + 7$ , $\frac{f (x + h) - f (x)}{h}$
6585	Evaluate the Function	h(1)=e^x	$h (1) = e^{x}$
6586	Evaluate the Function	f(x)=-2x+5 , f(y)	$f (x) = - 2 x + 5$ , $f (y)$
6587	Evaluate the Function	f(x)=x(x-8) , f(x-3)	$f (x) = x (x - 8)$ , $f (x - 3)$
6588	Evaluate the Difference Quotient	(f(x+h)-f(x))/h , f(x)=3/(x^2)	$\frac{f (x + h) - f (x)}{h}$ , $f (x) = \frac{3}{x^{2}}$
6589	Find the Inverse	f(n)=2(n-2)^3	$f (n) = 2 {(n - 2)}^{3}$
6590	Find the Inverse	f(t)=26*e^(0.5t)	$f (t) = 26 \cdot e^{0.5 t}$
6591	Evaluate the Function	f(5)=x^6-35x^4+259x^2-225	$f (5) = x^{6} - 35 x^{4} + 259 x^{2} - 225$
6592	Evaluate the Function	h(300)=(-32x^2)/(140^2)+300	$h (300) = \frac{- 32 x^{2}}{140^{2}} + 300$
6593	Evaluate the Function	h(1.5)=t^2-2t	$h (1.5) = t^{2} - 2 t$
6594	Find the Exact Value	cot(arccos(-20/29))	$\cot (\arccos (- \frac{20}{29}))$
6595	Convert to Interval Notation	\|u-2\|>9	$\| u - 2 \| > 9$
6596	Convert to Interval Notation	\|9-2x\|-2<-1	$\| 9 - 2 x \| - 2 < - 1$
6597	Solve for ?	theta=pi/3	$θ = \frac{π}{3}$
6598	Convert to Interval Notation	\|x-1/15\|<1/5	$\| x - \frac{1}{15} \| < \frac{1}{5}$
6599	Convert to Interval Notation	\|7x+2\|>-2	$\| 7 x + 2 \| > - 2$
6600	Solve for x	sec(x)(2cos(x)- square root of 2)=0	$\sec (x) (2 \cos (x) - \sqrt{2}) = 0$