Question

Round your answers to the nearest hundredth. Using the function f(x)=−5cos⁡(5π8x+π2)f(x)=−5cos(85π​x+2π​), find the displacement of the swing at 5 seconds and 10 seconds.

a) f(5)=4.16,f(10)=−5
b) f(5)=−4.16,f(10)=5
c) f(5)=5,f(10)=−4.16
d) f(5)=−5,f(10)=4.16

Answer 1

To find the displacement of the swing at 5 seconds and 10 seconds using the function f(x) = -5cos(5π/8x+π/2), substitute the given values of x into the function and evaluate.

Step-by-step explanation:

To find the displacement of the swing at 5 seconds and 10 seconds using the function f(x) = -5cos(5π/8x+π/2), we need to substitute the given values of x into the function and evaluate.

a) f(5) = -5cos(5π/8 * 5 + π/2) = 4.16

b) f(10) = -5cos(5π/8 * 10 + π/2) = -5

Therefore, the correct answers are a) f(5) = 4.16 and f(10) = -5.