← → < E B Exp. X VSEPR Molec X CO + HW 2.7 -15 mbsdirect.vitalsource.com/reader/books/1111808643/pageid/222 -9 X Type here to search 6 12 18 24 t is the number of hours from 6 A.M. 72. TEMPERATURE During a summer day, the ground tempera- ture at a desert location was recorded and graphed as a function of time, as shown in the following figure. The graph can be approximated by f(t) = A cos (bt + c) + d. Find the equation and approximate the temperature (to the nearest degree) at 1:00 P.M. HW 6.1 f(0) 120- 80 40- -3 3 9 t is the number of hours from 6 A.M. O 15 t 81 13-VSEPR molecula X 21 MBS Direct: College X 79. y = x sin (-7x) 81. y = sin(57x) sin(- ►▸ (2) YouTube ABEATS When two sound waves have approximately the same frequency, the sound waves interfere with one another and produce phenomena called beats, which are heard as variations in the loudness of the sound. A piano tuner can use these phenomena to tune a piano. By striking a tuning fork and then tapping the corresponding key on a piano, the piano tuner listens for beats and adjusts the ten- sion in the string until the beats disappear. Use a graphing utility to graph the functions in Exercises 81 and 82, which are based on beats. 82. y sin(17mx) sin sin(- -— - x) 2 80. y = cos X Q < 35°F =S AA 223 A 0 x 11:58 PM 11/26/2022 /647 > : ...

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

can someone help me with problem #72?

**Temperature**

During a summer day, the ground temperature at a desert location was recorded and graphed as a function of time, as shown in the figure below. The graph can be approximated by the function \( f(t) = A \cos(bt + c) + d \). Find the equation and approximate the temperature (to the nearest degree) at 1:00 P.M.

![Graph of Temperature](graph-placeholder)

- **Graph Description:** 
  - The x-axis represents time \( t \) in hours from 6 A.M.
  - The y-axis represents the temperature \( f(t) \).
  - The graph shows a cosine curve ranging from approximately 40 to 120 on the temperature scale.
  - The graph starts below the mean temperature, peaks above it, and returns again, indicating a cyclical pattern typical of temperature changes over a day.

---

**Beats**

When two sound waves have approximately the same frequency, they interfere with one another and produce phenomena called *beats*, which are heard as variations in the loudness of the sound. A piano tuner can use these phenomena to tune a piano. By striking a tuning fork and then tapping the corresponding key on a piano, the piano tuner listens for beats and adjusts the tension in the string until the beats disappear. Use a graphing utility to graph the functions in Exercises 81 and 82, which are based on beats.

\[
81. \quad y = \sin(5\pi x) \cdot \sin\left(-\frac{\pi}{2}x\right)
\]

\[
82. \quad y = \sin(17\pi x) \cdot \sin\left(-\frac{\pi}{2}x\right)
\]
Transcribed Image Text:**Temperature** During a summer day, the ground temperature at a desert location was recorded and graphed as a function of time, as shown in the figure below. The graph can be approximated by the function \( f(t) = A \cos(bt + c) + d \). Find the equation and approximate the temperature (to the nearest degree) at 1:00 P.M. ![Graph of Temperature](graph-placeholder) - **Graph Description:** - The x-axis represents time \( t \) in hours from 6 A.M. - The y-axis represents the temperature \( f(t) \). - The graph shows a cosine curve ranging from approximately 40 to 120 on the temperature scale. - The graph starts below the mean temperature, peaks above it, and returns again, indicating a cyclical pattern typical of temperature changes over a day. --- **Beats** When two sound waves have approximately the same frequency, they interfere with one another and produce phenomena called *beats*, which are heard as variations in the loudness of the sound. A piano tuner can use these phenomena to tune a piano. By striking a tuning fork and then tapping the corresponding key on a piano, the piano tuner listens for beats and adjusts the tension in the string until the beats disappear. Use a graphing utility to graph the functions in Exercises 81 and 82, which are based on beats. \[ 81. \quad y = \sin(5\pi x) \cdot \sin\left(-\frac{\pi}{2}x\right) \] \[ 82. \quad y = \sin(17\pi x) \cdot \sin\left(-\frac{\pi}{2}x\right) \]
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,