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.

Find the first order Taylor polynomin of f(x,y)=x^2e^y at (0,0)
T1(x,y)=
Find the second orser Taylor polynomial of f(x,y)=x^2e^y at
(0,0)
T2(x,y)=

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.

a) Find the values of x and y in order to maximize the value of
Q.
2x+y=10
3x^2y=Q
b) Find the number of units you will have to produce if you want
to
maximize profit if the cost and price equations are given below.
Then find the maximum
profit made. (6 points)
C(x)= 4x+10
R(x)= 50x-0.5x^2
Units Produced: ____________________
Maximum Profit: ____________________
(Please show all work possible)

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

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