If there is some scalar function

such that

then we want to find

such that



So the vector field

is conservative, which means the fundamental theorem applies; the line integral of

along any path

parameterized by some vector-valued function

over

is given by

In this case,
Answer:
15 thirds divided by 3 = 1.66666667
Step-by-step explanation:
Answer:
d + 6
Step-by-step explanation:
Given that :
Number of dogs = d
The sum of the number of the number of dogs and 6 cats is :
This is a straightforward question :
We take the sum of d and 6
Hence, we have
d + 6
Answer: 
Step-by-step explanation:
Given
If the temperature falls by
in 3 hours
Present temperature is 
The difference in temperature i.e.

Temperature 3 hours ago is 
Answer:
1/5 or 0.2
Step-by-step explanation:
Answer:
The common difference is or 0.2
Step-by-step explanation:
Given:
Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,
First term = a₁ = -2
Second term = a₂ =
Third term = a₃ =
Fourth term = a₄ =
To Find:
Common Difference = d = ?
Solution:
Formula for Common Difference d ,
∴
The common difference is or 0.2