Can u help me with this? The speed of sound in ocean water is 1448.94 meters per second, provided that the ocean water has a salinity of 35 parts per thousand, the temperature is 0 degrees Celsius, and the measurement is taken at the surface. If any one of these three factors varies, the speed of sound also changes. Different oceans often differ in salinity. In the North Atlantic Central Water (the main body of water for the northern half of the Atlantic Ocean), the salinity can be determined from the temperature, so the speed of sound depends only on temperature and depth. A simplified polynomial formula for velocity in this body of water is found below.\[V = 1447.733 + 4.7713T - 0.05435T^2 + 0.00023747T^3 + 0.0163D + 1.675 \times 10^{-7}D^2 - 7.139 \times 10^{-13}TD^3\]Here \( V \) is the speed of sound in meters per second, \( T \) is water temperature in degrees Celsius, and \( D \) is depth in meters. This formula is valid for depths up to 8000 meters and for temperatures between 0 and 30 degrees Celsius.**(a)** What type of polynomial is \( V \) as a function of \( T \) alone?- ☐ exponential- ☐ quadratic- ☐ cubic- ☑ quarticWhat type of polynomial is \( V \) as a function of \( D \) alone?- ☐ exponential- ☐ quadratic- ☑ cubic- ☐ quartic**(b)** For a fixed depth of 1500 meters, write the formula for \( V \) in terms of \( T \) alone. (Round your coefficients to four decimal places.)\( V = \) [Note: The space for writing the formula under (b) is left intentionally blank here as it requires computation based on the provided depth.] The image contains the following components:- **Title and Instructions**: "(c) Graph V as a function of T for the fixed depth of 1500 meters."- **Graphs**: There are four line graphs with axes labeled V (on the vertical axis) and T (on the horizontal axis). The range for T goes from 0 to 60, while V ranges from 1300 to 1800. Each graph displays a different trend concerning the relationship between V and T. - **Top Left Graph**: Shows a downward-sloping line, indicating a negative correlation between V and T. - **Top Right Graph**: Shows an upward-sloping line, indicating a positive correlation between V and T. - **Bottom Left Graph**: Displays a line that starts to curve upwards, suggesting an increasing rate of V as T increases. - **Bottom Right Graph**: Shows a line that curves slightly upwards, indicating a positive correlation with a possible increasing rate of change.- **Question (d)**: "What is the concavity of the graph from part (c)? What does this imply about the speed of sound at that depth as temperature increases?" There are drop-down menus to select options for: - The graph's concavity (whether it is "concave up" or "concave down"). - The interpretation of the function’s behavior as T increases (implies whether V "increases" or "decreases").This layout suggests an inquiry-based learning task where students assess which graph best represents the behavior of the speed of sound at a given depth with varying temperatures. They then infer the implications of the graph’s concavity on the speed of sound.

As per the company guidelines we can solve first three parts. I hope that the given solution will…

The speed of sound in ocean water is 1448.94 meters per second, provided that the ocean water has a salinity of 35 parts per thousand, the temperature is 0 degrees Celsius, and the measurement is taken at the surface. If any one of these three factors varies, the speed of sound also changes. Different oceans often differ in salinity. In the North Atlantic Central Water (the main body of water for the northern half of the Atlantic Ocean), the salinity can be determined from the temperature, so the speed of sound depends only on temperature and depth. A simplified polynomial formula for velocity in this body of water is found below.t V = 1447.733 + 4.77137 - 0.054357² + 0.000237473 + 0.0163D + 1.675 x 10 -7D2 - 7.139 x 10-137D3 Here V is the speed of sound in meters per second, T is water temperature in degrees Celsius, and D is depth in meters. This formula is valid for depths up to 8000 meters and for temperatures between 0 and 30 degrees Celsius. (a) What type of polynomial is V as a function of T alone? O exponential O quadratic O cubic quartic What type of polynomial is V as a function of D alone? O exponential O quadratic O cubic quartic (b) For a fixed depth of 1500 meters, write the formula for V in terms of T alone. (Round your coefficients to four decimal places.) V =

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...