Calculating the height of a paper folded n times.

Pretend the paper is 1/1000 of an inch thick and suppose we could fold the paper 50 times. How many miles tall would it stand?

Rotational symmetry

I need to know about how to put Rotational Symmetry in order

Proving trigonometry identities.

Prove this identity. (cot^2 X) - (cos^2 X) = (cot^2 X)(cos^2 X)

Laplace transforms

Please see the attached problem file

Writing recursion formulas.

an = 1/2n. Write the recursion formula for this series?

Insight into the payback period method in accounting.

What is the payback period method in accounting?

Astronomy problem dealing with revolutions around the sun.

It takes the earth 1.0 year to travel around the sun. It takes Venus 0.615 years to orbit the sun. If the planets are in a straight line with the sun now, how long will it take before this is the case again?

Calculating the departure angles.

For a gun where the departure angle 'Beta' and the distance "D" in meters that the projectile travels are related by D=1250sin2Beta. Find which departure angles can be used to hit a target 800 meters away.

solving identity

verify the identity sin(x + 3pie/2) + cosx =0

Using trigonometric functions without the aid of a calculator.

Without using a calculator, find cot[arcsin(-5/13)].