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:
1.) 1 1/3 or 4/3
2.) 6
3.) 8
Step-by-step explanation:
Function composition substitutes more than just values or constants. It substitutes functions inside another function. Solve each expression by starting inner most and working to outermost.
1.) f(g(0)) = 1 1/3
Let g(x)=3x+2 and f(x)= x-2/3.
Begin with g(0) = 3(0) + 2 = 2.
Substitute x = 2 into f(x).
f(2) = (2) - 2/3 = 1 1/3
2.) g(f(2)) = 6
Let g(x)=3x+2 and f(x)= x-2/3.
Begin with f(2) = 2 - 2/3 = 1 1/3.
Substitute x = 1 1/3 into g(x).
g(1 1/3) = 3( 1 1/3) + 2 = 3(4/3) + 2 = 4 + 2 = 6
3.) g(g((0))
Let g(x)=3x+2.
Begin with g(0) = 3(0) + 2 = 2.
Substitute x = 2 into g(x).
g(2) = 3(2) + 2 = 8
It's 6.072x10 to the 13th power!
The least common denominator is 1. This is because 13 is a prime number, so 1 and 13 are the only factors. Obviously, 13 is not a factor of 25, so that leaves the answer with 1.
Answer:
Step-by-step explanation:
Given parameters:
Rate of walking by Lin = 13 miles in 5 hours
Rate of walking by Jada = 25 miles in 10 hours
Distance walked = 3.25 miles
Time of take off = 3:00
Solution:
The rate of their walking amounts to their speed;
Speed =
Speed of Lin = = 2.6 miles/hr
Speed of Jada = = 2.5 miles/hr
To find the time; make it the subject of formula and solve for each person;
Time =
Time of Lin = = 1.25hr = 48 minutes
Time of Jada = = 1.3hr = 47 minutes
Time for each to arrive;
Lin = 3.00 + 1.25hr = 4:25
Jada = 3.00 + 1.30hr = 4:30