has gradient
which at the point (-1, 4, 3) has a value of
I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say 
, in which case we have
Then the derivative of at (-1, 4, 3) in the direction of 
is
I'm assuming a quarter-circle is exactly 1/4 of a circle. Thus if you have 4 congruent quarter-circles, that should mean they make a complete circle.
If that is the case, then we can find the area of the full circle using pi*r^2.
So the area of the circle is 5^2*pi or 25pi.
To find the area of the shaded region, we subtract the area of the circle from the area of the square.
The area of the square is 10^2 or 100.
So the area of the shaded region is 100 - 25pi.
My calculator says that equals roughly 21.46
Answer:
Smaller=18 degrees; larger= 162 degrees
Step-by-step explanation:
ok so first supplementary angles mean that the two angles added together will equal 180 degrees.
so 1x + 9x = 180 (combine like terms)
10x=180 (divide each side by 10)
x=18
so the smaller angle is 18 because its only 1x, and the larger angle is 162 because 18x9=162
check: 18 + 162 = 180
Answer:
Step-by-step explanation:
There's only one correct answer, and you've already responded with that answer.
Answer:
Khan Academy's answer is 4/35.
Step-by-step explanation:
4/5 * 1/7 = 4/35
