Question

Find the order of (2,1,1) in Z_4 X Z_3 XZ_3

Answer #1

find the derivative of cos x at x=1 by first order forward 2nd
order and 4th order central schemes with h=0.01

Z={0,1}
F(x)=x
G(x)=x^1/2
Find the first order stochastic dominant

find the 6th order taylor polynomial for f(x) = xsin(x^2)
centered at a=0.

For the function f(x) = ln(4x), find the 3rd order Taylor
Polynomial centered at x = 2.

Let
x be fixed. Use the method of undetermined coefficients to find a
higher order differentiation formula for computing an approximation
of the second order derivative f′′(x) based on the values
f(x−2h),f(x−h),f(x),f(x+h),f(x+2h). What is the order of the
error?

Let f(x) = 2/ x and a = 1. (a) Find the third order Taylor
polynomial, T3(x), that approximates f near a. (b) Estimate the
largest that |f(x)−T3(x)| can be on the interval [0.5,1.5] by using
Taylor’s inequality for the remainder.

Solve the following 2nd Order differential equation and find
y(x):
y'' + 2y' +y = x + e-x
y(0) = 0, y'(0) = 0.

Find all the second order partial derivatives of the
function
w = x - y / x2 + y

Find the first- and second-order partial derivatives for the
following function. z = f (x, y) = (ex +1)ln y.

($4.2 Reduction of Order):
(a) Let y1(x) = x be a solution of the homogeneous ODE xy′′
−(x+2)y′ + ((x+2)/x)y = 0. Use the reduction
of order to find a second solution y2(x), and write the general
solution.

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