I have the fractcal of a snowflake

I have a region x^2 + y^2 <= 1 and y>=0. It's temperature function is f(x,y) x^2 - 2y^2 + x + y. How do I find the max and min temperatures on the lower boundary y=0?

I took the derivatives with respect to x and with respect to y such that:

fx:=diff(f(x,y),x);

fy:=diff(f(x,y),x);

Then I used fsolve({fx=0, fy=0},{x,y}) which game me (-0.5, 0.25)

Is there really only one critical point on that lower bound...

I have 91 points and to take the sum of the y-coordinates, I do

sum('points[k,2]','k'=1..91);

But if I want to take the sum of the points on just the even indeces i.e k=2, 4, 6, 8, 10...etc, I try to do

sum('points[2k,2]','2k'=1..91)     

but Maple gives me an error. I'm doing something wrong here. Help me please me fix the syntax error!!

Let's say I do this:

points:=[[285,0],[290,0],[300,0],[315,0],[325,0],[330,0],[335,0]]

The syntax example that my professor gave to get the sum of the points of the x-coordinate is as follows:

sum('points [k,1]', 'k'=1..7);

Now here's my question: how do I use the sum command to define a function that uses the Simpson's rule. I know I can't use the simpson's command since I'm dealing with a bunch of points and not a function.

Hey guys,

I have the function f(x) =(sin(x) + 1)/(x^2 + 1) where x =-Pi/2 and 3Pi/2

1) I first set up an intgral for the function: