The data provided is that for the depth of water in Cokato Creek, as measured during a day-long rains differentiable function of time t. t (hour) 0 4 8 12 16 20 24 D(t) (in) 32 36 38 37 35 33 32 Find the approximate value of D '(16). Indicate units of measure and explain its meaning in co problem.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 41A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN A slot 812.00...
icon
Related questions
Question

Solve number 5 on the paper!

 

5. The data provided is that for the depth of water in Cokato Creek, as measured during a day-long rainstorm. D(t) is a
differentiable function of time t.
t (hour) 0 4 8 12 16 20 24
D(t) (in) 32 36 38 37 35 33 32
a. Find the approximate value of D '(16). Indicate units of measure and explain its meaning in context of the
problem.
b. Cokato High School math students have determined that the function D(t) = 35 - 3cos (+³) models the
depth of the water during such rain events. D(t) represents the depth of the creek, in inches, after t hours.
Use your graphing calculator to find D '(16) and explain the meaning of your answer, with appropriate units,
in context of the problem.
Transcribed Image Text:5. The data provided is that for the depth of water in Cokato Creek, as measured during a day-long rainstorm. D(t) is a differentiable function of time t. t (hour) 0 4 8 12 16 20 24 D(t) (in) 32 36 38 37 35 33 32 a. Find the approximate value of D '(16). Indicate units of measure and explain its meaning in context of the problem. b. Cokato High School math students have determined that the function D(t) = 35 - 3cos (+³) models the depth of the water during such rain events. D(t) represents the depth of the creek, in inches, after t hours. Use your graphing calculator to find D '(16) and explain the meaning of your answer, with appropriate units, in context of the problem.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning