A. Sketch the Graph of each function in the interval from 0 to 2m. Determine the amplitude, period, phase shift and vertical shift jcos 1. y = 2. y= sin 3x 3. у 3D 2taпх
A. Sketch the Graph of each function in the interval from 0 to 2m. Determine the amplitude, period, phase shift and vertical shift jcos 1. y = 2. y= sin 3x 3. у 3D 2taпх
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:ACTIVITY 1. SKETCH ME!
A. Sketch the Graph of each function in the interval from 0 to 2n.
Determine the amplitude, period, phase shift and vertical shift
cos
1. у 3
2. y = sin 3x
3. y = 2tanx
4. y = secX
5. y = cos (x-)
6. Y = 2 sin 3x
7. Y= 5 sin (x --) + 2
![Examples
1. Find the domain of the equation.
a. Vx + 2- Vx = 2x
b. sin3x = sin x +1
c.tan x + cot x = sin x
x+1
d.
x2-1
+ cos x = CSC X
Solution:
a. As we observe in the equation it mut not have a negative number on the
left side since it has rational in the equation hence our domain for the
equation, is all real numbers greater than 0 have the expression as:
{x]x > 0}
b. based on the function we can use the even and odd identity of the
function and the power of the sin is odd, so it says it is continuous for all
values of x. Hence the domain is all real numbers having the expression of
R](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F007601b2-545f-4f73-85b8-f54a80272ac5%2F7f081119-6d7d-40d0-8c07-215375e3d07c%2Fz0cblg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Examples
1. Find the domain of the equation.
a. Vx + 2- Vx = 2x
b. sin3x = sin x +1
c.tan x + cot x = sin x
x+1
d.
x2-1
+ cos x = CSC X
Solution:
a. As we observe in the equation it mut not have a negative number on the
left side since it has rational in the equation hence our domain for the
equation, is all real numbers greater than 0 have the expression as:
{x]x > 0}
b. based on the function we can use the even and odd identity of the
function and the power of the sin is odd, so it says it is continuous for all
values of x. Hence the domain is all real numbers having the expression of
R
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