Using Matlab, consider the function f(x) =
x^3 – 2x + 4 on the interval [-2, 2] with h
= 0.25. Write the MATLAB function file to find the
first derivatives in the entire interval by all three methods i.e.,
forward, backward, and centered finite difference
approximations.
Could you please add the copiable Matlab code and the associated
screenshots? Thank you!
For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the
following, and use it to graph the function.
Find: a)(2pts) Domain
b)(2pts) Intercepts
c)(2pts) Symmetry
d) (2pts) Asymptotes
e)(4pts) Intervals of Increase or decrease
f) (2pts) Local maximum and local minimum values
g)(4pts) Concavity and Points of inflection and
h)(2pts) Sketch the curve
For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the
following, and use it to graph the function.
Find: a)(2pts) Domain
b)(2pts) Intercepts
c)(2pts) Symmetry
d) (2pts) Asymptotes
e)(4pts) Intervals of Increase or decrease
f) (2pts) Local maximum and local minimum values
g)(4pts) Concavity and Points of inflection and
h)(2pts) Sketch the curve
Integrate the following values of y from x = 0 to x = 130 using
(a) The midpoint rule using intervals of [0 10], [10 30], [30 70],
and [70 130] (b) The trapezoid rule using the same intervals (c)
Simpson’s rule using the same intervals
x y
0 6
5 12
10 18
20 30
30 42
50 36
70 24
100 18
130 6
Integrate the differential equation dydt = y from t = 0 to t =...
a. For the following probability density
function:
f(X)=
3/4 (2X-X^2 ) 0 ≤ X ≤ 2
=
0 otherwise
find
its expectation and variance.
b. The two regression lines are 2X - 3Y + 6 = 0 and 4Y – 5X- 8
=0 , compute mean of X and mean of Y. Find correlation coefficient
r , estimate y for x =3 and x for y = 3.
Consider the function f(x, y) = 4xy − 2x 4 − y
2 .
(a) Find the critical points of f.
(b) Use the second partials test to classify the critical
points.
(c) Show that f does not have a global minimum.
Let f(x, y) = 2x^3 − 6xy + 3y^2 be a function defined on
xy-plane
(a) Find first and second partial derivatives of.
(b) Determine the local extreme points of f (max., min., saddle
points) if there are any.
(c) Find the absolute max. and absolute min. values of f over
the closed region bounded by the lines x = 2, y = 0, and y = x