BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 2.2, Problem 5E

a.

To determine

To find: The value of the limt0g(t)

Expert Solution

Answer to Problem 5E

  .limt0g(t)=0.999

Explanation of Solution

Given information:

Given graph is,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  1

Consider the given graph as,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  2

Now, from the given graph limt0g(t)=0.999

b.

To determine

To find: The value of the limt0+g(t)

Expert Solution

Answer to Problem 5E

  .limt0+g(t)=1.999

Explanation of Solution

Given information:

Given graph is,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  3

Consider the given graph as,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  4

Now, from the given graph limt0+g(t)=1.999

c.

To determine

To find: The value of the limt0g(t)

Expert Solution

Answer to Problem 5E

  .limt0g(t) does not exist.

Explanation of Solution

Given information:

Given graph is,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  5

Consider the given graph as,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  6

Since, right hand limit and left hand limit of the function at t=0 are not equal.

Hence, limt0g(t) does not exist.

d.

To determine

To find: The value of the limt2g(t)

Expert Solution

Answer to Problem 5E

  .limt2g(t)=1.999

Explanation of Solution

Given information:

Given graph is,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  7

Consider the given graph as,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  8

From the graph, this is clear that limt2g(t)=1.999

e.

To determine

To find: The value of the limt2+g(t)

Expert Solution

Answer to Problem 5E

  limt2+g(t)=0.111

Explanation of Solution

Given information:

Given graph is,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  9

Consider the given graph as,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  10

Now, from the given graph limt2+g(t)=0.111

f.

To determine

To find: The value of the limt2g(t)

Expert Solution

Answer to Problem 5E

  .limt2g(t) does not exist.

Explanation of Solution

Given information:

Given graph is,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  11

Consider the given graph as,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  12

Since, right hand limit and left hand limit of the function at t=2 are not equal.

Hence, limt2g(t) does not exist.

g.

To determine

To find: The value of the g(2)

Expert Solution

Answer to Problem 5E

  g(2)=1

Explanation of Solution

Given information:

Given graph is,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  13

Consider the given graph as,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  14

From the graph this is clear that g(2)=1

h.

To determine

To find: The value of the limt4g(t)

Expert Solution

Answer to Problem 5E

  limt4g(t)=3

Explanation of Solution

Given information:

Given graph is,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  15

Consider the given graph as,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 5E , additional homework tip  16

From the graph this is clear that limt4g(t)=3

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!