Search results

Alternative approach: Satellite (circular orbit) moves in the gravitational field of the planet, a = g (v^2)/r = GM/(r^2) v^2 = GM/r v =...

Alternative parabola: y^2 = 12x :) :) :wave:

Kepler's second law is about elliptical orbit. :) :) :wave:

You have used Kepler's third law instead of the second law! Also you have assumed a circular orbit instead of an elliptical orbit. :) :) :wave:

d(cotx)/dx = -cosec^2 x = -1/(sin^2 x), integral of 1/sin^2 x = -cot x + c :) :) :wave:

Required volume =volume of cylinder (r=1+e, h=1) - definite integral(0,1) pi(x+e^x)^2 =pi(1+e)^2 - definite integral(0,1) pi(x^2+e^(2x)+2xe^x) etc. :) :) :wave:

e/pi is irrational. Another example q =sqrt3, p = 1, q/p = sqrt3 is irrational. :santa: :santa: :santa:

The above discussions beg for an answer to the following question: Are students deriving real benefits from this forum? :santa: :santa: :santa:

2. Try and try again (without looking at someone else's solutions) until YOU solve it, assuming that ultimate success will eventuate. I feel good when I solve a problem without help. :santa: :santa: :santa:

For Q1, for all rational values of p, q, NOT for all real values of p, q. For Q4, 4r > or = s^3, NOT 4r >s^3 :santa: :santa: :santa:

Learning the solution to a problem is just that, the solution to that particular problem. It does not really help you to solve problems. The only way to learn is by trying. 5. Try and try again. If you are unsuccessful after a few trials, find out why from the worked solutions. :santa...

Don't forget y = 2r, P = pr + 2x + 2r =4, r = (4 -2x)/(p + 2), A = 0.5pr^2 + 2rx = etc :santa: :santa: :santa:

Applications of differentiation 1) dP/dx = 2 - 8000/x^2 = 0 etc 2) dA/dr = 4(pi)r - 108(pi)/r^2 = 0 etc 11) Similar to 2), find r and then the minimum A. :santa: :santa: :santa:

I think you are confused, or am I? If an object appears to be at rest to an observer, its mass will be at its minimum (i.e. rest mass). If it appears to be moving to a different observer, its mass will be greater than its rest mass. The two observers have different measures of the object's...

The following explanation is a simplified version without using complete relativistic consideration. As you travel faster the time required to travel from point A to point B will be longer than the time d/v due to time dilation. This time dilation offsets the increase in your speed and stops...

Hold a brick in your hand while you stand on a chair. You feel the weight of the brick because you are an inertial frame (approx) and Newton's Laws of motion are applicable. Now jump off the chair. While you are in the air you do not feel the weight of the brick because you are no longer an...

Affinity has shown the solution. I was pointing out that you have made an incorrect statement to justify that the given solution was wrong. :santa: :santa: :santa:

Why not? Try to sketch {z: |z| = arg(z)}. :santa: :santa: :santa:

Absolute error is 3, 40 +/- 3 Relative error is 3/40 %error is (3/40)x100% = 7.5%, 40 +/- 7.5% :santa: :santa: :santa:

Because x^2 > 0 for positive x. :santa: :santa: :santa: