Given the function:
Let's find the amplitude and period of the function.
Apply the general cosine function:
Where A is the amplitude.
Comparing both functions, we have:
A = 1
b = 4
Hence, we have:
Amplitude, A = 1
To find the period, we have:
Therefore, the period is = π/2
The graph of the function is shown below:
The parent function of the given function is:
Let's describe the transformation..
Apply the transformation rules for function.
We have:
The transformation that occured from f(x) = cosx to g(x) = cos4x using the rules of transformation can be said to be a horizontal compression.
ANSWER:
Amplitude = 1
Period = π/2
Transformation = horizontal compression.
Answer:
The angle that the line makes with x-axis of of 64.3º.
Step-by-step explanation:
Equation of a line, and angle with the x axis:
The equation of a line has the following format:
In which m is the slope.
The angle that the line makes with the x axis is given by the angle which has tangent m, that is, .
In this question:
We have that . So
The angle that the line makes with x-axis of of 64.3º.
It should be A. 46 because 46-16=30 which means 3•10+16=46. So it is A
Given:
Two jugs are similar. The smaller jug has radius 4 cm and the bigger jug has radius 6 cm and surface area 125 cm².
To find:
The area of the smaller jug.
Solution:
If two figures are similar, then the ratio of their areas is proportional to the square of the corresponding sides of the figures.
Two jugs are similar. So,
Therefore, the area of the smaller jug is about 55.56 cm².