Problem 24a
Page 51
Section 1.4: Graphing Calculators and Computers
Chapter 1: Functions and Models
Given information
Given :- The equation 
has exactly one solution .
To find :- Use a graph to show that the equation 
has three solution and find their value correct to two decimal places.
Step-by-step explanation
Consider the equation
The solutions of the equation are the x -coordinates of the point of intersection of the curves y=cosx and y=0.3 .
From the below, we see that there are three solutions and it lies between -4 and 2.
In the above graph, there are three point of intersections between two graphs, so we located each point of intersection by the numbering 1 , 2 and 3 .
Now we have to find the values of point of intersections up to two decimal places.
To find the point of intersections of 1 , from the figure(a) we see that it lies between 1 and 2 . Zooming in to the viewing rectangle [1,1.5] by [0.25,0.5] . In figure (b), by moving the cursor to the intersection point of the two curves, we see that the solution of the equation is about 1.2 .
Single Variable Calculus: Early Transcendentals
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 1c
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 2d
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15a
- Problem 15b
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24a
- Problem 24b
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29a
- Problem 29b
- Problem 29c
- Problem 29d
- Problem 30a
- Problem 30b
- Problem 30c
- Problem 30d
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36a
- Problem 36b
- Problem 37
- Problem 38