Question

For the function f(t)=5cos( 2t ), what are the maximum and minimum values?

A) Maximum: 5, Minimum: -5
B) Maximum: 5, Minimum: 0
C) Maximum: 10, Minimum: -10
D) Maximum: 0, Minimum: -5

Answer 1

The maximum and minimum values for the function f(t)=5cos(2t) are 5 and -5, respectively, corresponding to option (A).

Step-by-step explanation:

For the function f(t)=5cos(2t), we are looking to find the maximum and minimum values. We know that the cosine function oscillates between -1 and +1. Therefore, by multiplying these values by 5 (the amplitude of the function), we can determine that the maximum value of the function is 5, and the minimum value is -5.

Thus, the correct answer to the question is:

• Maximum: 5
• Minimum: -5

Which corresponds to option (A).