The composite function of the paintings Jenny completes in a year is
<h3>What is a composite function?</h3>
A composite function is a function made of other functions, where the output of one function is the input to the other function.
An example of the composite functions 2x+3 and together make the composite function
We have
Here, P(w) represents the number of paintings Jenny completes in some w weeks. and
J(y) represents the number of weeks per year.
As J(y) is the number of weeks spent per year in painting, we can calculate the paintings completed in a year by substituting
w as J(y) in the equation we have
Then the equation becomes:
Hence this is the composite function that would represent the number of paintings Jenny completes in a year.
Learn more about composite functions here:
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Add: 2/9 + 3/5 = 2 · 5/9 · 5 + 3 · 9/5 ·9 = 10/45 + 27/45 = 10 + 27/45 = 37/45
The line integral is the path of the function along a line having a continuous value.
The integral solved gives the value 111.
The given question is
where C is the line from (1, 0, 0) to (4, 1, 3)
Here
x→ 1⇒ 4
y→ 0⇒1
z→ 0⇒ 3
Let t be defined be the range 0≤ t ≤ 1
Then x= 4t+1 : dx= 4dt
y= t ": dy= dt
z= 3t : dz= 3dt
Putting the values
= [36(1)²- 36(0)²]+ 3 [16(1)² +1+8(1)] - 3 [16(0)² +1+8(0)] + [3(1)²- 3(0)² ]
= 36 +75-3+3
= 111
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Answer:
There needs to be more information
Step-by-step explanation: