SECTION 2.5 Continuity 125 x + 2 if x <0 if 01 nake 43. f(x) = e" 44. The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is nction ain. GMr if r R where M is the mass of Earth, R is its radius, and G is the gravitational constant. Is Fa continuous function of r? 45. For what value of the constant c is the functionf continuous on (-o, 0)? cx? + 2x if x < 2 f(x) = しょー cx if x > 2 46. Find the values of a and b that make f continuous everywhere. x² – 4 if x < 2 f (x) = ax? - bx + 3 if 2 < x < 3 2x - a + b if x> 3 47. Suppose f and g are continuous functions such that g(2) = 6 and lim,→2 [3f(x) + f(x)g(x)] = 36. Find f(2). 48. Let f(x) = 1/x and g(x) = 1/x². (a) Find (fo g)(x). %3D bore? Explain
SECTION 2.5 Continuity 125 x + 2 if x <0 if 01 nake 43. f(x) = e" 44. The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is nction ain. GMr if r R where M is the mass of Earth, R is its radius, and G is the gravitational constant. Is Fa continuous function of r? 45. For what value of the constant c is the functionf continuous on (-o, 0)? cx? + 2x if x < 2 f(x) = しょー cx if x > 2 46. Find the values of a and b that make f continuous everywhere. x² – 4 if x < 2 f (x) = ax? - bx + 3 if 2 < x < 3 2x - a + b if x> 3 47. Suppose f and g are continuous functions such that g(2) = 6 and lim,→2 [3f(x) + f(x)g(x)] = 36. Find f(2). 48. Let f(x) = 1/x and g(x) = 1/x². (a) Find (fo g)(x). %3D bore? Explain
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Just 45 please
![SECTION 2.5 Continuity
125
x + 2 if x <0
if 0<x<1
2-x if x >1
nake
43. f(x) =
e"
44. The gravitational force exerted by the planet Earth on a unit
mass at a distance r from the center of the planet is
nction
ain.
GMr
if r<R
R3
F(r) =
GM
if r> R
where M is the mass of Earth, R is its radius, and G is the
gravitational constant. Is Fa continuous function of r?
45. For what value of the constant c is the functionf continuous
on (-o, 0)?
cx? + 2x if x < 2
f(x) =
しょー
cx if x > 2
46. Find the values of a and b that make f continuous everywhere.
x² – 4
if x < 2
f (x) =
ax? -
bx + 3 if 2 < x < 3
2x - a + b
if x> 3
47. Suppose f and g are continuous functions such that g(2) = 6
and lim,→2 [3f(x) + f(x)g(x)] = 36. Find f(2).
48. Let f(x) = 1/x and g(x) = 1/x².
(a) Find (fo g)(x).
%3D
bore? Explain](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe275de4c-32c1-4cb7-bfd7-7f1ecc3cfa02%2F9d651449-8272-4a0c-88db-a6f008ee3d52%2F9t0gzpd.jpeg&w=3840&q=75)
Transcribed Image Text:SECTION 2.5 Continuity
125
x + 2 if x <0
if 0<x<1
2-x if x >1
nake
43. f(x) =
e"
44. The gravitational force exerted by the planet Earth on a unit
mass at a distance r from the center of the planet is
nction
ain.
GMr
if r<R
R3
F(r) =
GM
if r> R
where M is the mass of Earth, R is its radius, and G is the
gravitational constant. Is Fa continuous function of r?
45. For what value of the constant c is the functionf continuous
on (-o, 0)?
cx? + 2x if x < 2
f(x) =
しょー
cx if x > 2
46. Find the values of a and b that make f continuous everywhere.
x² – 4
if x < 2
f (x) =
ax? -
bx + 3 if 2 < x < 3
2x - a + b
if x> 3
47. Suppose f and g are continuous functions such that g(2) = 6
and lim,→2 [3f(x) + f(x)g(x)] = 36. Find f(2).
48. Let f(x) = 1/x and g(x) = 1/x².
(a) Find (fo g)(x).
%3D
bore? Explain
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