I think the correct answer is D
You can parameterize the curve
and compute the integral along each component curve, or you can use the fact that
is the continuous gradient of a function
and observe that the line integral is path independent.
In other words, there is a function
such that
, so the integral along any curve
from the points
to
is simply
You have
, and so
while
where
is an arbitrary constant. So we've found that
which means the line integral has a value of
Answer:
8.34 ×10^4 as in sceintific notation so in normal
8.39×10^4 = 83900
and 3.84 × 10^-3 = 0.00384
Hope it helps
Answer:
Greater than 1: 4/3
Less than 1: 3/4
Step-by-step explanation:
When you divide a number by a smaller number, the result is greater than 1.
When you divide a number by a larger number, the result is less than 1.
For example, look at the numbers 16 and 8.
Divide the larger number by the smaller number, 16/8, and you get 2, which is greater than 1.
Divide the smaller number by the larger number, 8/16, and you get 1/2, which is less than 1.
Now use the numbers in this problem.
4/3 is greater than 1 since you are dividing the larger number buy the smaller number.
3/4 is less than 1 since you are dividing the smaller number by the larger number.
Answer:
m∠D = 32°
Step-by-step explanation:
From the figure attached,
In ΔABE,
By the property of a triangle,
m∠AEB + m∠ABE + m∠AEB = 180°
14° + 45° + m∠AEB = 180°
m∠AEB = 180° - 59°
m∠AEB = 121°
Since, m∠AEB = m∠CED = 121° [Vertical angles]
Similarly, in triangle CDE,
m∠ECD + m∠CED + m∠EDC = 180°
27 + 121 + m∠CDE = 180
m∠CDE = 180 - 148
m∠D = 32°