Answer:
Step-by-step explanation: steps explained in attached file
Answer:
It is True.
Step-by-step explanation:
If the statement p^q is true then it mean both have to be true in order for the statement to be true.
Option b is true to match the vector field f with the given plot f(x, y)=x, -y
<h3>What is meant by a function?</h3>
The earliest known attempts at the concept of functions can be traced back to the work of the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Originally, functions were idealized dependencies of one variable on another. For example, planetary positions are functions of time. Historically, this concept was developed in calculus towards the end of his 17th century, and the functions studied were differentiable (i.e. they had a high degree of regularity) until his 19th century ).
Given,
f(x, y) = x, -y
gt; at x⇒∞, y⇒-∞ downwards
at x⇒∞, y⇒+∞ downwards
Therefore, option b is true to match the vector field f with the given plot
f(x, y)=x, -y
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The complete question is as follows:
Match the vector field f with the correct plot. f(x, y) = x, −y
Answer: 3.751*10^18kg
Step-by-step explanation:
δ =619.09−0.000097p....equa1 where p (the distance from the center of the earth) is measured in meters and δ is measured in kilograms per cubic meter.
Calculating the density of air at 5km above earth surface
P = 5000m + 6370000m = 6.375*10^6m
δ = 619.09 -(.000097* 6.375*10^6)
δ = 0.715kg/m^3 = density
Since Mass = density*volume...equ2
To calculate volume of air around the spherical earth at height 5km
V = (4/3 pai R^3) - (4/3pai r^3) ...equation 3 where R =6.375*10^6m, r = 6.37*10^6
Substituting R and r in equation 2 to solve for volume of air
V = 1.085*10^21 - 1.08*10^21
V = 5.25*10^18m^3
Substituting δ and V into equation 2 to solve for mass of air
M = 0.715 * (5.25*10^18)
M = 3.751*10^18kg
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