Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
45501	Expand Using Sum/Difference Formulas	sin(7x)cos(3x)	$\sin (7 x) \cos (3 x)$
45502	Expand Using Sum/Difference Formulas	cos(165 degrees )	$\cos (165 °)$
45503	Evaluate the Function	f(t)=t^4-14 , 641	$f (t) = t^{4} - 14$ , $641$
45504	Evaluate the Function	f(x)=[2.7]	$f (x) = [2.7]$
45505	Evaluate the Function	f(1)=x^2	$f (1) = x^{2}$
45506	Evaluate the Function	f(7) = square root of x-21	$f (7) = \sqrt{x - 21}$
45507	Evaluate the Function	q(3)=1/(x^2-9)	$q (3) = \frac{1}{x^{2} - 9}$
45508	Evaluate the Function	q(y+3)=1/(x^2-9)	$q (y + 3) = \frac{1}{x^{2} - 9}$
45509	Evaluate the Function	f(x)=6x-5	$f (x) = 6 x - 5$
45510	Evaluate the Function	f(x)=x^2+2	$f (x) = x^{2} + 2$
45511	Find the Trig Value	cos(theta)=5/7	$\cos (θ) = \frac{5}{7}$
45512	Find the Trig Value	(csc(x))/(cot(x)) = square root of 2	$\frac{\csc (x)}{\cot (x)} = \sqrt{2}$
45513	Find the Trig Value	(tan(theta)^3-1)/(tan(theta)-1)-sec(theta)^2+1=0	$\frac{\tan^{3} (θ) - 1}{\tan (θ) - 1} - \sec^{2} (θ) + 1 = 0$
45514	Find the Trig Value	sin(theta)=(2 square root of 2)/3 , cos(theta)=1/3	$\sin (θ) = \frac{2 \sqrt{2}}{3}$ , $\cos (θ) = \frac{1}{3}$
45515	Find the Trig Value	sec(theta)=1	$\sec (θ) = 1$
45516	Find the Trig Value	tan(theta)=7/24	$\tan (θ) = \frac{7}{24}$
45517	Find the Trig Value	tan(theta)=-5/12	$\tan (θ) = - \frac{5}{12}$
45518	Find the Trig Value	tan(theta)=24/7	$\tan (θ) = \frac{24}{7}$
45519	Find the Domain and Range	cube root of x-6	$\sqrt[3]{x - 6}$
45520	Find the Domain and Range	log base 5 of x-4	$\log_{5} (x - 4)$
45521	Find the Domain and Range	tan(x)	$\tan (x)$
45522	Find the Domain and Range	6/x	$\frac{6}{x}$
45523	Find the Domain and Range	(x^3-3x^2-4x)/(x-4)	$\frac{x^{3} - 3 x^{2} - 4 x}{x - 4}$
45524	Find the Domain and Range	1/( square root of x-9)	$\frac{1}{\sqrt{x - 9}}$
45525	Find the Domain and Range	(x-7)^2	${(x - 7)}^{2}$
45526	Find the Domain and Range	x^2-2x+2	$x^{2} - 2 x + 2$
45527	Find the Domain and Range	-x^2+6x-8	$- x^{2} + 6 x - 8$
45528	Find the Domain and Range	x^2+4x+4	$x^{2} + 4 x + 4$
45529	Find the Domain and Range	x^2+4x-2	$x^{2} + 4 x - 2$
45530	Find the Domain and Range	-x^2+4	$- x^{2} + 4$
45531	Find the Domain and Range	2x	$2 x$
45532	Find the Domain and Range	-2x^2+2x-5	$- 2 x^{2} + 2 x - 5$
45533	Find the Domain and Range	2x^2-5x	$2 x^{2} - 5 x$
45534	Find the Domain and Range	3x+2	$3 x + 2$
45535	Find the Domain and Range	-3x^2+6x-1	$- 3 x^{2} + 6 x - 1$
45536	Find the Domain and Range	x^2-8x+15	$x^{2} - 8 x + 15$
45537	Find the Domain and Range	x-3	$x - 3$
45538	Find the Slope of a Perpendicular Line	y=2x	$y = 2 x$
45539	Find the Third Term	a_1=-7 , a_n=2*a_n-1	$a_{1} = - 7$ , $a_{n} = 2 \cdot a_{n - 1}$
45540	Solve by Graphing	3x-y=0.6x-2y=-1.3	$3 x - y = 0.6 x - 2 y = - 1.3$
45541	Find Where Undefined/Discontinuous	(2x^2-6x)/(x^2-4x+3)	$\frac{2 x^{2} - 6 x}{x^{2} - 4 x + 3}$
45542	Identify the Polar Equation	r=-12cos(theta)	$r = - 12 \cos (θ)$
45543	Identify the Polar Equation	r=14cos(theta)	$r = 14 \cos (θ)$
45544	Identify the Polar Equation	r=-14sin(theta)	$r = - 14 \sin (θ)$
45545	Identify the Polar Equation	r=-16cos(theta)	$r = - 16 \cos (θ)$
45546	Identify the Polar Equation	r=18sin(theta)	$r = 18 \sin (θ)$
45547	Identify the Polar Equation	r=2+4cos(theta)	$r = 2 + 4 \cos (θ)$
45548	Identify the Polar Equation	r=2theta	$r = 2 θ$
45549	Identify the Polar Equation	r=2-cos(theta)	$r = 2 - \cos (θ)$
45550	Identify the Polar Equation	r=3-2sin(theta)	$r = 3 - 2 \sin (θ)$
45551	Identify the Polar Equation	r=2cos(5theta)	$r = 2 \cos (5 θ)$
45552	Identify the Polar Equation	r=-6	$r = - 6$
45553	Identify the Polar Equation	r=4cos(theta)+2sin(theta)	$r = 4 \cos (θ) + 2 \sin (θ)$
45554	Identify the Polar Equation	r=4-4sin(theta)	$r = 4 - 4 \sin (θ)$
45555	Find the Equation Given the Roots	-36+36 square root of 3i	$- 36 + 36 \sqrt{3 i}$
45556	Find the Equation Given the Roots	-1 , 6-7i	$- 1$ , $6 - 7 i$
45557	Identify the Polar Equation	r=-sec(theta)	$r = - \sec (θ)$
45558	Identify the Polar Equation	r=-8cos(theta)	$r = - 8 \cos (θ)$
45559	Identify the Polar Equation	r=8sec(theta)	$r = 8 \sec (θ)$
45560	Identify the Polar Equation	r=8csc(theta)	$r = 8 \csc (θ)$
45561	Identify the Polar Equation	r=tan(theta)sec(theta)	$r = \tan (θ) \sec (θ)$
45562	Identify the Polar Equation	z=r(cos(theta)+isin(theta))	$z = r (\cos (θ) + i \sin (θ))$
45563	Identify the Polar Equation	r=3/(1-sin(theta))	$r = \frac{3}{1 - \sin (θ)}$
45564	Identify the Polar Equation	r^2=25sin(2theta)	$r^{2} = 25 \sin (2 θ)$
45565	Identify the Polar Equation	r=3/(2+3sin(theta))	$r = \frac{3}{2 + 3 \sin (θ)}$
45566	Identify the Polar Equation	r=4/(2cos(theta)-3sin(theta))	$r = \frac{4}{2 \cos (θ) - 3 \sin (θ)}$
45567	Identify the Polar Equation	r=5/(5cos(theta)+6sin(theta))	$r = \frac{5}{5 \cos (θ) + 6 \sin (θ)}$
45568	Identify the Polar Equation	r=9/(5+6cos(theta))	$r = \frac{9}{5 + 6 \cos (θ)}$
45569	Find the Slope and y-intercept	theta=(7pi)/4	$θ = \frac{7 π}{4}$
45570	Write as a Set of Linear Factors	f(x)=x^3-6x^2+5x+6	$f (x) = x^{3} - 6 x^{2} + 5 x + 6$
45571	Find the Slope and y-intercept	-3x+5y-8=0	$- 3 x + 5 y - 8 = 0$
45572	Find the Slope and y-intercept	-5x+7y-1=0	$- 5 x + 7 y - 1 = 0$
45573	Convert to Interval Notation	1/x<4	$\frac{1}{x} < 4$
45574	Convert to Interval Notation	((x+5)^2)/(x^2-4)>=0	$\frac{{(x + 5)}^{2}}{(x^{2} - 4)} \geq 0$
45575	Convert to Interval Notation	((x+5)^2)/(x^2-36)>=0	$\frac{{(x + 5)}^{2}}{x^{2} - 36} \geq 0$
45576	Convert to Interval Notation	((x^2+1)(x-5))/(x^2-25)>=0	$\frac{(x^{2} + 1) (x - 5)}{x^{2} - 25} \geq 0$
45577	Convert to Interval Notation	(2x+1)(3x-4)>0	$(2 x + 1) (3 x - 4) > 0$
45578	Convert to Interval Notation	(2x-3)(x+2)(x-3)<=0	$(2 x - 3) (x + 2) (x - 3) \leq 0$
45579	Convert to Interval Notation	(2x-7)/(3x+2)>=1	$\frac{2 x - 7}{3 x + 2} \geq 1$
45580	Convert to Interval Notation	(x^2-49)/(x-9)<=0	$\frac{x^{2} - 49}{x - 9} \leq 0$
45581	Convert to Interval Notation	(x^2-81)/(x^4-81)<0	$\frac{x^{2} - 81}{x^{4} - 81} < 0$
45582	Convert to Interval Notation	(x^2-9x+18)/(4x^2-25)<=0	$\frac{x^{2} - 9 x + 18}{4 x^{2} - 25} \leq 0$
45583	Convert to Interval Notation	-5/(x-7)<=-5	$\frac{- 5}{x - 7} \leq - 5$
45584	Convert to Interval Notation	(5x-5)/(x+1)<=4	$\frac{5 x - 5}{x + 1} \leq 4$
45585	Convert to Interval Notation	(5x-7)/(x^2-1)>=0	$\frac{5 x - 7}{x^{2} - 1} \geq 0$
45586	Convert to Interval Notation	(4+x)/(4-x)>=1	$\frac{4 + x}{4 - x} \geq 1$
45587	Convert to Interval Notation	(x+6)/(x-2)<0	$\frac{x + 6}{x - 2} < 0$
45588	Convert to Interval Notation	(x-3)/(x+1)<1	$\frac{x - 3}{x + 1} < 1$
45589	Convert to Interval Notation	(x-1)/(x+6)<=0	$\frac{x - 1}{x + 6} \leq 0$
45590	Convert to Interval Notation	(x-4)/(x+2)>=2	$\frac{x - 4}{x + 2} \geq 2$
45591	Convert to Interval Notation	(x-4)/(x-3)<=0	$\frac{x - 4}{x - 3} \leq 0$
45592	Convert to Interval Notation	(x-4)/(x-7)>0	$\frac{x - 4}{x - 7} > 0$
45593	Convert to Interval Notation	(y+6)/(y-4)>=0	$\frac{y + 6}{y - 4} \geq 0$
45594	Convert to Interval Notation	(x+6)(x^2-16)(1-x)<=0	$(x + 6) (x^{2} - 16) (1 - x) \leq 0$
45595	Convert to Interval Notation	(x+6)/(x^2-6x+8)>2/(x-4)	$\frac{x + 6}{x^{2} - 6 x + 8} > \frac{2}{x - 4}$
45596	Convert to Interval Notation	(x+9)^2(x-6)<0	${(x + 9)}^{2} (x - 6) < 0$
45597	Convert to Interval Notation	(x-1)(x-2)(x-4)>=0	$(x - 1) (x - 2) (x - 4) \geq 0$
45598	Convert to Interval Notation	(x-1)(x-6)(x-7)<=0	$(x - 1) (x - 6) (x - 7) \leq 0$
45599	Convert to Interval Notation	x/(x^2+2x-6)<=0	$\frac{x}{x^{2} + 2 x - 6} \leq 0$
45600	Convert to Interval Notation	(x+4)/(2x-1)>3	$\frac{x + 4}{2 x - 1} > 3$