Answer:
-42
Step-by-step explanation:
The objective is to find the line integral of
around the perimeter of the rectangle with corners (4,0), (4,3), (−3,3), (−3,0), traversed in that order.
We will use <em>the Green's Theorem </em>to evaluate this integral. The rectangle is presented below.
We have that

Therefore,

Let's calculate the needed partial derivatives.

Thus,

Now, by the Green's theorem, we have

Answer: draw them out dude
Explanation: TrY geometry
Answer:
D.
Step-by-step explanation:
This will be D because the beaker already has 0.2 mL of water. If Jovita needs to add more water to the beaker, and<em> then </em>it is 0.8. In D, the diagram shows you 0.2 + x = 0.8, which makes it the right diagram.
Hope that helps!
You have steak Mac water or steak mac water, etc etc...
Answer:
The value of rate of which the base is changing
= - 3 
Step-by-step explanation:
Area = 20 
height = 4 cm


we know that area of the triangle is given by



B = 10 cm
Rate of change of area is given by
![\frac{dA}{dT} = \frac{1}{2} [B\frac{dH}{dt} + H \frac{dB}{dt} ]](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7BdT%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5BB%5Cfrac%7BdH%7D%7Bdt%7D%20%2B%20H%20%5Cfrac%7BdB%7D%7Bdt%7D%20%5D)
4 = 0.5 [10 × 2 + 4
]
= - 3 
This is the value of rate of which the base is changing.