Question

To help restore a beach sand is being added to the beach at a rate of s(t) = 65+24sin(.3t) tons per hour, where t is measured in hourse since 5:00
a.m. how many tons of sand are added to the beach over the 3-hour period from 7:00
a.m. to 10:00
a.m.?

Answer 1

65.38 tons are added.

Using the equation, and substituting 3 for 5, we have
s(3) = 65+24sin(0.3*3) = 65.38

Answer 2

There are 67.4 tones to the beach over the 3-hour period from 7:00 a.m. to 10:00 a.m.

Given that

To help restore the beach sand is being added to the beach at a rate of s(t) = 65+24sin(.3t) tons per hour, where t is measured in hours since 5:00 a.m.

We have to determine

How many tons of sand are added to the beach over the 3-hour period from 7:00 a.m. to 10:00 a.m.?

According to the question

The beach sand is being added to the beach at a rate.

$\rm s(t) = 65+24sin(.3t)$

Where t is measured in hours since 5:00 a.m.

The number of tons to the beach over the 3-hour period from 7:00 a.m. to 10:00 a.m. is calculated by substituting the t = 3 in the equation.

Therefore,

the number of tons to the beach over the 3-hour period from 7:00 a.m. to 10:00 a.m. is

$\rm s(t) = 65+24sin(.3t)\\ \\ \rm s(t) = 65+24sin(.3 \times 3)\\ \\ \rm s(t) = 65+24sin(0.9)\\ \\ s(t) = 65 + 24(0.1)\\ \\ s(t)= 65+2.4\\ \\ s(t)=67.4$

Hence, there are 67.4 tones to the beach over the 3-hour period from 7:00 a.m. to 10:00 a.m.

To know more about Trigonometric Function click the link given below.

https://brainly.com/question/11617415