7.A spring is suspended from the ceiling. It is pulled down and released, and then oscillates up and down. Its length, I centimeters, is modeled by the function / = 33 + 5cos((720t)°), where t is the time in seconds after release. (a) Find the length of the spring after 1 second. (b) Find the minimum length of the spring (c) Find the first time at which the length is 33 cm. (d) What is the period of the motion?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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7. A spring is suspended from the ceiling. It is pulled down and released, and then oscillates up
and down. Its length, I centimeters, is modeled by the function l = 33 + 5cos((720t)°), where t
is the time in seconds after release.
(a) Find the length of the spring after 1 second.
(b) Find the minimum length of the spring.
(c) Find the first time at which the length is 33 cm.
(d) What is the period of the motion?
Transcribed Image Text:7. A spring is suspended from the ceiling. It is pulled down and released, and then oscillates up and down. Its length, I centimeters, is modeled by the function l = 33 + 5cos((720t)°), where t is the time in seconds after release. (a) Find the length of the spring after 1 second. (b) Find the minimum length of the spring. (c) Find the first time at which the length is 33 cm. (d) What is the period of the motion?
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