Finding the circumference of a circle

Need to know the formula for finding area and circumference of a circle 2

Finding a rule for a sequence.

Find the rule for the sequence below. square 2x2 =10 3x3=40 +30=20 difference 4x4=90+50=20 difference 5x5=160+70=20 difference

Comparing euler's method to improved euler's method

y'= 1/2 - (X)+2x when y(0)=1 Find the exact solution of ___ O/ <

Euler's and improved Euler's method,...find the exact solution

1. y'=1/2 -x + 2y y(0) = 1 Find the exact solution "Sphee" {0 with line diagonal of the 0} 2. y'=x square + y square y(0)=1 a. Let h=.1 use Euler and improve to approximate to get Sphee(.1) Sphee(.2) Sphee(.3) b. h=.05 so compare with Shee(.1) Sphee (.2) sphee is a circle

Differential equations

Prove using Euler method