We want to find a scalar function
such that
.
So we need to have
Integrating both sides with respect to
gives
Differentiating with respect to
gives
So we find that
By the fundamental theorem of calculus, we then know the line integral depends only on the values of
at the endpoints of the path. Therefore
Answer:
y= 250( 1-0.21)^x
Step-by-step explanation:
This represents exponential decay
Answer:
it increase and by 16.7
Step-by-step explanation:
What you wanna do here is use a calculator, as "e" in mathematics refers to the "e" on a calculator. The tricky part about this question is that the answer for the equation is the given percentage, NOT the value for "x". From there, plug in the multiple choice answers for "x" and see which one works!
In this case, A is the correct answer. B is absurdly large, so I omitted it immediately in the attached picture.
Answer: The answer is (C) 3 4 × 1 6 = 3 24
Step-by-step explanation: We are given a rectangular picture made of square boxes and we are to find among the given options which is modelled by the given picture.
In the diagram, there are 6 boxes lengthwise and 4 boxes breadthwise. Also, 3 × 4 boxes are painted yellow and 1 × 6 boxes are painted blue. The common boxes will be 3.
Therefore, the correct choice is 3 4 × 1 6 = 3 24
Hence, (C) is the correct option.
