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can somebody prove (1 - E^(-2/x))/(1 - E^(-1/x)) equals to E^(-1/x)+1 where E is exponential?

2x^2 - 20x + c ≡ a(x - b)^2 + 3b Work out the value of c.?

What is an equation in standard form of an ellipse centered at the origin with vertices (+/- 6,0) and (+/- 5,0)?

How to Solve algebraically Log₂x-Log₂(1-2x)= -3?

Prove Plane is perpendicular to a parameter line ?

Can someone show me a step by step process of how to solve these?

-x^3+2x^2-x-2=0 How to solve it ??

What polygon's interior angles add up to 180 degrees?

What straight line best fits the data.....?

What is the domain of x=b^y?

Determine the regions of convergence and divergence of the following power series?

Express 4 sin 2x – 3cos 2x in the form of Rcos(2x+a), α>=0^0 .?

solve the compound inequality?

if arg [(z-2)/(z-6i)]=π /2, show that x^2+y^2-2x-6y=0 2. z=2-√3i, find the real value of q such as arg(z^2+qz)=-π /3?

find the complex numbers z and w in form of x +yi which satisfy the equation system (1+i)z-iw+i= iz+(1-i)w-3i =6?

How to calculate this maths problem?

Lim/x-->3 x^2 + 4x - 12 / x-2 How do I find the limit ?

Find the average rate of change of f(x) = 3x + 2 from -1 to 0.?

Elementary linear algebra?

Prove for x?

What is the time rate of change of air pressure?

The force on an object is F = -10j. For the vector v = -i + j, find...?

How do you find the df/du AND df/dv of sin(xy)+xsiny (when x=(u^2+v^2), y=(uv))?