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Given a fair 12sided dice: If the dice is rolled ten times, what is the probability of rolling exactly two 6s?

How do you find the inflection points of #f(x)= 12x^5+45x^480x^3+6#?

What is the arc length of #f(x)=cosx# on #x in [0,pi]#?

How to I solve homogeneous equation of #y dy/dx +x=2y# ?

Find the solution to the system of equations
Log (2000xy) minus log(x).log y=4
Log(2yz)minus log y.logz=1
Log(zx) minus log(z).logx=0
Base of log is 10 everywhere?

What's the square root of 8100?

Use the instantaneous rate of change of #f(x) = e^(5x)# to find the equation of the tangent line to f(x) at x = 0?

Lim x^alfa* (cosx/x)^2, at infinity. Alfa can take any value we want . Who can demonstrate that this integral is convergent?

On ground the gravitational force on satalite is W what is the gravitational force when the satellite is at the height of R/50 (R is radius of Earth)?

How do you determine if the series the converges conditionally, absolutely or diverges given #Sigma ((1)^(n))/((2n+1)!)# from #[1,oo)#?

An angle exceeds the measure of its supplement by 40degree .what is the measure of the supplement?

How to solve the values of t?

Thoughts on the recent announcement made about the future of the Socratic website? Share them here!

Let #a,b,c# be positive real numbers such that #a+b+c=1#.Prove the following inequality: #(a+1/a)^2+(b+1/b)^2+(c+1/c)^2>=100/3#?

Why do you factor quadratic equations?

How do you factor #8a^3+27#?

Prove that the volume of any paraboloid is always half the volume of the circumscribed cylinder?

1) What is the arc length of C?
2) The surface of revolution on the x axis?

How do you integrate #int x^3/sqrt(x^22x+10)dx# using trigonometric substitution?

What are the local extrema, if any, of #f(x)= (4x3)^2(x4)/x #?

How do you factor #y=2x^36x^2+8x+24
#?

How do you factor #f(x) = x^4 + 4x^3  3x^2 +40x + 208#?

How to solve? ln(x)=2/x2

Please solve q 16?

What is the slope of the line normal to the tangent line of #f(x) = secx+cos^2(2xpi) # at # x= (11pi)/8 #?

Suppose a person weighs 100 pounds. If he travels to a planet with 5 times the mass of Earth and 10 times the radius of Earth, what will his new weight be?

How do you factor #x^312x^2+41x42#?

How do you integrate #int 1/sqrt(4x^2+16x+8) # using trigonometric substitution?

How do you solve #(x + 4) ^ { 3}  8= x ( x + 5) ( x + 7)  5#?

How do you find an expression for #sin(x)# in terms of #e^(ix)# and #e^(ix)#?

How do you differentiate #y = (ln(x^2))^(2x+3)#?

What is the domain and range of #f(x) = (x+3)/(x^2+4)#?

How do you simplify #sqrt(32*sqrt(2))#?

Who's interested in a new Socratic on a different website?

What are the points of inflection of #f(x)=1/(5x^2+3)
#?

What are the asymptote(s) and hole(s), if any, of # f(x) =(x^22x+1)/(x*(x2))#?