Answer to Question #342051 in Quantitative Methods for Belay

Question #342051

1.Consider the equation xe^x = cos x


(a) Apply the intermediate value theorem to show that the function has a root in the interval


[0, 1].


(b) Find the real root using the secant method. Start with the two points, x1 = 0 and x2 = 1


and carry out the first four iterations.


(c) Find the real root using the Newton-Raphson method. Start with an initial approximation,


x0 = 0.5 correct to two decimal places.



2.Consider the initial value problem


dy = t(y + t) − 2, y(0) = 2. It is derivative of y respect to t


dt


(a) Use Eulers method with step sizes h = 0.3, h = 0.2 and h = 0.15, compute the approximations to y(0.6).


(b) Use the fourth order Runge-Kutta method Compute y(0.4) with h = 0.2.




0
Service report
It's been a while since this question is posted here. Still, the answer hasn't been got. Consider converting this question to a fully qualified assignment, and we will try to assist. Please click the link below to proceed: Submit order

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
APPROVED BY CLIENTS