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
I posted a simular question. I entered the wrong equation. 1. y'=1/2 -x + 2y y(0) = 1 Find the exact solution "Sphee" {0 with line diagnal of the 0} 2. y'=x square + y square y(0)=1 a. Let h=.1 use Eul ...continues
Prove using Euler method
Given the polynomial obtain the roots of it.
Calculating the solutions of an equation.
Show that there are exactly two solutions of the following equation, and find them (where ln(x) is the natural logarithm function) ln(2x squared - 1) - 2ln(2 + x) = 0
Working with iterative methods.
The sequence of value given by the iterative formula is X n+1=2/9-lnXn with initial value X=1,converges to alpha. 1) State an equation satisfied by alpha, and hence show that alpha is the x coordinate of a point on the curve where y=3. 2) Use this iterative formula to find alpha correct to 2 decimal places, showin ...continues
Given The Maclaurin series for the inverse hyperbolic tangent is of the form x+x^3/3+x^5/5...x^7/7. Show that this is true through the third derivative term. I don't know how to get started with this problem! I know the derivative of tanh^-1 x =(1-x^2))-1.
Scientific calculation past papers 1
I am going through some past papers for my scientific calculation exam, and I find the attached question rather obscure. I would be very grateful if someone could explain it to me.
