Suppose that we use Euler's method to approximate the solution to the differential equation dydx=x2y;y(0.3)=7. We let x0=0.3 and y0=7 and pick a step size h=0.2. Euler's method is the the following algorithm. From xn and yn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing xn+1=xn+h, yn+1=yn+h⋅f(xn, yn). x n + 1 = x n + h , y n + 1 = y n + h ⋅ f ( x n , y n ). Complete the following table:
n xn yn
0 0.3 5
1
2
3
4
5
The exact solution can also be found using separation of variables. It is y(x)= y ( x ) = Thus the actual value of the function at the point x=1.3 y(1.3) =

34

step-by-step explanation:

i don’t see a picture

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough