
Parameterize the line segment (call it
) by


with
. Then

and the line integral is



Alternatively, if we can show that
is conservative, then we can apply the fundamental theorem of calculus. We need to find
such that
, which requires



Integrating both sides of the first equation with respect to
gives

Differentiating both sides wrt
gives


Differentiating wrt
gives


So we have

and
is conservative. By the FTC, we find

Answer:
Encourage diversity
Race
Step-by-step explanation:
Took it on Edge :)
Answer:
y= 2
Step-by-step explanation:
The slope intercept form equation is
y = mx+b where m is the slope and b is the y intercept
m= 0 and b=2
y = 0x +2
y= 2
Answer:
As time increases water decreases
A minimum of 220 backpacks must be produced to obtain the desired benefits.
Since a company making backpacks charges $ 29.99 for each backpack, and it costs $ 6.45 to make each backpack, and the company can make backpacks in multiples of 10 and there is $ 1,000 in fixed costs, and the company wants to make at least $ 4,000 profit each week, to determine how many backpacks should be produced, the following calculation must be performed:
- 29.99 - 6.45 = 23.54
- 500 x 23.54 - 1000 = 10,770
- 250 x 23.54 - 1000 = 4.885
- 220 x 23.54 - 1000 = 4,178.80
- 210 x 23.54 - 1000 = 3,943.40
Therefore, a minimum of 220 backpacks must be produced to obtain the desired benefits.
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