The vector field
has curl
Parameterize 
by
where
with 
and 
.
Take the normal vector to to be
Then by Stokes' theorem we have
which has a value of 0, since each component integral is 0:
The <em><u>correct answer</u></em> is:
2
Explanation:
There are two directions from 0 on a number line, to the left and to the right.
Numbers to the left of 0 on a number line are negative numbers; numbers to the right of 0 on a number line are positive numbers.
The number 10 units to the left of 0 on a number line is -10, and the number 10 units to the right of 0 on a number line is 10; there are two answers.
Answer:
61.97 feets
Step-by-step explanation:
Using trigonometry :
Horizontal distance between the person and building,
Let distance = d
Tan 15 = 15 / d
0.2679491 * d = 15
d = 15 / 0.2679491
d = 55.980781
To obtain the height, h :
tan 40 = (h-15)/d
d = 55.98
h-15 = 55.98 (tan 40°)
h - 15 = 55.98 * 0.8390996
h - 15 = 46.972797
h = 46.972797 + 15
h = 61.972797
h = 61.97 feets
Availability of first truck probability P (1) = 0.74
Availability of second truck probability P (2) = 0.57
Availability of both truck probability P (1 and 2) = 0.46
So the probability of at least one available P (1 or 2) = P (1) + P (2) - P (1 and 2) = 0.74 + 0.57 - 0.46 = 0.85
Now the probability of at neither available = 1 - P (1 or 2) = 1 – 0.85 = 0.15
