Boiling point. The temperature at which water starts to boil is also linearly related to barometric pressure. Water boils at 212 ° F at a pressure of 29.9 inHg (inches of mercury) and at 191 ° F at a pressure of 28.4 inHg. (A) Find a relationship of the form T = m x + b , where T is degrees Fahrenheit and x is pressure in inches of mercury. (B) Find the boiling point at a pressure of 31 inHg. (C) Find the pressure if the boiling point is 199 ° F . (D) Graph T and illustrate the answers to (B) and (C) on the graph.
Boiling point. The temperature at which water starts to boil is also linearly related to barometric pressure. Water boils at 212 ° F at a pressure of 29.9 inHg (inches of mercury) and at 191 ° F at a pressure of 28.4 inHg. (A) Find a relationship of the form T = m x + b , where T is degrees Fahrenheit and x is pressure in inches of mercury. (B) Find the boiling point at a pressure of 31 inHg. (C) Find the pressure if the boiling point is 199 ° F . (D) Graph T and illustrate the answers to (B) and (C) on the graph.
Boiling point. The temperature at which water starts to boil is also linearly related to barometric pressure. Water boils at
212
°
F
at a pressure of 29.9 inHg (inches of mercury) and at
191
°
F
at a pressure of 28.4 inHg.
(A) Find a relationship of the form
T
=
m
x
+
b
,
where
T
is degrees Fahrenheit and
x
is
pressure in inches of mercury.
(B) Find the boiling point at a pressure of 31 inHg.
(C) Find the pressure if the boiling point is
199
°
F
.
(D) Graph
T
and illustrate the answers to (B) and (C) on the graph.
1. Show that the vector field
F(x, y, z)
=
(2x sin ye³)ix² cos yj + (3xe³ +5)k
satisfies the necessary conditions for a conservative vector field, and find a potential function for
F.
1. Newton's Law of Gravitation (an example of an inverse square law) states that the magnitude
of the gravitational force between two objects with masses m and M is
|F|
mMG
|r|2
where r is the distance between the objects, and G is the gravitational constant. Assume that the
object with mass M is located at the origin in R³. Then, the gravitational force field acting on
the object at the point r = (x, y, z) is given by
F(x, y, z) =
mMG
r3
r.
mMG
mMG
Show that the scalar vector field f(x, y, z) =
=
is a potential function for
r
√√x² + y² .
Fi.e. show that F = Vf.
Remark: f is the negative of the physical potential energy, because F = -V(-ƒ).
show your answer in
pen and paper
Don't use any Al tool
show ur answer in pe
n and paper then take
-2-i
Evaluate f² (3xy + iy²)dz
a) along the straight line joining from z = i to z = 2 - i
Inspiring Excellence
b) along the parabola from x = 2t - 2 and y = 1+t-t²
Chapter 1 Solutions
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY