Answer:
Infinity
Step-by-step explanation:
4,6 and 4,10
10 - 6=4
4 - 4=0
4 divided by 0 = Infinity
Answer:
Circumference of the circle is
Step-by-step explanation:
we have to find the circumference of the given circle.
Given:
Diameter=42 m
Circumference of a circle=
So, the circumference of the circle is
Answer:
224 im pretty sure
Step-by-step explanation:
area of a triangle= base x height / 2
if we plug the values from the problem into the equation, we get 8 x 10 / 2 which simplifies into 80 / 2, which is 40. because this is a square pyramid, we know it has 4 triangles, so we multiply 40 by 4, which is 160. now, we find the area of the square, which can be found with the equation length x width. since all sides of square are equal, the equation becomes 8 x 8, which is 64. finally, we add the area of the triangles to that of the square, and we get 224. hope this helps!
Answer:
See steps below
Step-by-step explanation:
The function
is a particular case of the general Rosenbrock’s Function.
a)
Since
for all the values of x and equals 0 when x=1 and
for all the values of y and equals 0 only when y=1, we conclude that (1,1) is a minimum.
On the other hand,
f(x,y)>0 for (x,y) ≠ (1,1) so (1,1) is a global minimum.
b)
To confirm that this function is not convex, we will be using the following characterization of convexity
“f is convex if, and only if, the Laplace operator of f for every (x,y) in the domain of f”
Given that the domain of f is the whole plane XY, in order to prove that f is not convex, we must find a point (x,y) at where the Laplace operator is < 0.
The Laplace operator is given by
Let us compute the partial derivatives
and
we have then
if we take (x,y) = (0,1)
hence f is not convex.