46. 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) = GMT if r < R R³ GM 7² if r> R where M is the mass of Earth, R is its radius, and G is the gravitational constant. Is F a continuous function of r? 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Question
2.5, Number 46 please.
rivatives
45.
f(x) = { e
Answer
x+2 if x < 0
if 0 < x < 1
2x if x > 1
Answer
46. The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of
the planet is
R³
--{*
GM
72
F(r) =
GMT if r < R
where M is the mass of Earth, R is its radius, and G is the gravitational constant. Is F a continuous
function of r?
47. For what value of the constant c the function f continuous on (-∞0, ∞0)?
cx² + 2x if x < 2
if x > 2
f(x) =
if r> R
AA
- сx
Transcribed Image Text:rivatives 45. f(x) = { e Answer x+2 if x < 0 if 0 < x < 1 2x if x > 1 Answer 46. The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is R³ --{* GM 72 F(r) = GMT if r < R where M is the mass of Earth, R is its radius, and G is the gravitational constant. Is F a continuous function of r? 47. For what value of the constant c the function f continuous on (-∞0, ∞0)? cx² + 2x if x < 2 if x > 2 f(x) = if r> R AA - сx
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