`Hey,
Note: Brother in case of any queries, just comment in box I would be very happy to assist all your queries
close all
clear all
clc
syms y(x)
y(x)=sqrt((x^2-1)*(x-2)/((x-3)*(x^3-4)));
tic;
diff(y,10)
toc
Kindly revert for any queries
Thanks.
l-in- (x2-1)(x-2) Compute the 10th -order derivative of function y(x)- c) Vx-3)(x3-4) Show the CPU time...
Find the derivative of each one. a. y = (tan(x2 + 1))4 + 5 In Vx b. с. У-(sin x)cos x a. y = (tan(x2 + 1))4 + 5 In Vx b. с. У-(sin x)cos x
determine whether or not the equations represent y as a function of x y=x3-X X2-Y2=1 X3+Y3=4
allowed time frame. Question 11 4 pts Find the derivative of the function. x3 f(x) = In X X3 O 3x2 x3-2 O 3x2-1 x(x3 - 2) O 2x3 + 2 x(x3 - 2)
4. Suppose Xi, X2, X3 ~exp(1) and they are independent (a) Compute the edf of X (b) Let Y max(Xi, X2, X3). Find the cdf of Y. (c) Derive the pdf of Y
23. Compute if x1=2, x2=5 and x3=0. 24. Compute ∑ i = 1 3 x i f i if x1=1, x2=3, x3=4 and f1=f2=2, f3=5. 25. Compute if x1=1, x2=3, x3=4 and f1=f2=2, f3=5.
Compute a FD second order approximation of the first derivative of the function f(x) = sin(x2) at x = 1.5 using x = 0.1
Find the derivative of the following functions: (x2-1) f(x) = (x2 +1) f(x) = (x3 + 2x)3(4x + 5)2
EXAMPLE 4 Then x2 + x-5 Let y = x3 + 6 2+x-5 y' - (x2 + x - - 5)( ++6 (x3 + 6)2 + 6 6)(2x + 1 +(x2+x - 5)( 3r? (x3 + 6) (+ 2x + 1 | ) - ( 374 +373 – 15r2 ) (x3 + 6)2 -2x3 +15x2 + 8x+4 (x3 + 5)2
2. Solve the following set of homogeneous first-order ODEs using the substitution y = vx. (a) 2xy = 3(x2 + y²), given y = 2 when x = 1. (b) x = y(In x – Iny), given y = 4 when x = 1. (C) (x2 + 3xy + y2). dx - x2.dy = 0, given y = 0 when x = 1.
Problem 1 Consider the function f(x) x3 +3/x. Calculate the first derivative with respect to x at x-5 numerically with the fourth order center difference formula (O(h') using a) Points x 1, x 3,x 7, and x9 b) Using h 0.33 c) Calculate the error for (a) and (b) compare to the exact (analytical) solution