44. The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is

F(r)={GMr/R^3 if r⋖R, GM/r^2 if r≥R

Where M is the mass of the Earth, R is its radius, and G is the gravitational constant. Is F a continuous function of r?

Calculus: Early Transcendentals
Chapter 2: Limits and Derivatives
Section 2.5: Continuity
Problem 44

7/4/2024 - 3,447 Subscribers - 778,333 Views

свернуть