Illustrate that coordinates satisfy equation of the ellipse
Assume ellipse has has foci (±c, 0) and sum of distances from any point P(x,y) on ellipse to foci is 2a. Illustrate that coordinates of P satisfy equation of the ellipse.
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The objects having masses of 155 kg and 455 kg are separated through 0.420 m. (i) Determine total gravitational force applied by these objects on a 54.0 kg object positioned midway between them.
Find height of water in cylinder when volume of water in cylinder is 8.3 cubic centimeter. Illustrate calculation using both formulas.
Supposing a spherical shape, determine the mass of the comet? (The escape speed for an object at the surface of Earth is 11.2 km/s).
The initial velocity of a car, Vi, is 45 km/h in the positive x-direction. The final velocity of the car, Vf, is 66 km/h in a direction which points 75 degrees over the positive x-axis. Determine the magnitude and direction of the change in veloci
A passenger walks from one side of a ferry to another as it approaches a dock. When the passenger's velocity is 1.5 m/s due north relative to the ferry and 4.5 m/s at an angle of 30 west of north relative to the water, find the direction and magni
A football is thrown horizontally having a initial velocity of 16.6 m/s X. Avoiding air resistance, the average acceleration of football over any period of time is (-9.81m/s^2) Y. Determine the magnitude and direction of the velocity at the time.
Primarily a particle is moving at 4.1 m/s at an angle of 33.5 over the horizontal. Two seconds later, its velocity is around 6.05 m/s at an angle of 59 beneath the horizontal. Determine the average acceleration of particle during these 2 seconds?
Provided the following function, determine (a) vertex, (b) axis of symmetry, (c) intercepts, (d) domain, (e) range,(f) intervals where function is increasing.
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