Question

This is a MATLAB question so please answer them with MATLAB steps.

Let f(z) = V3z sin(#) and P(z) =r-x-1. 1. Find f(e) 2. Find the real solution(s) to Px) 0. Hint: use the roots command. 3. Find the global minimum for f(x). Hint: plot f over [0,2] 4. Solve f()P. Hint: plot f and P over [0,21. 5. Find lim,→0+ f(x). Hint: make a vector hi make a table [x + h; f(x + h)]". 6. Find '(In 2). Hint: make a vector h; make a table [h; (f(x + h) (x))/h for r >0

Answer 1

g that f(x) 2JFh sin ( i ven ) 2 n Ve2n V3 -(e 3esinlS en

Numeric Roots The roots function calculates the roots of a single-variable polynomial represented by a vector of coefficients. For example, create a vector to represent the polynomial x2x 6, then calculate the roots. P[1 1-6] rroots(p) By convention, MATLAB returns the roots in a column vector. The poly function converts the roots back to polynomial coefficients. When operating on vectors, poly and roots are inverse functions, such that poly(roots(p)) returns p (up to roundoff error, ordering, and scaling) p2-poly(r) p2 - 11-6 When operating on a matrix, the poly function computes the characteristic polynomial of the matrix. The roots of the characteristic polynomial are the eigenvalues of the matrix. Therefore, roots(poly(A)) and eig(A) return the same answer (up to roundoff error, ordering, and scaling)

MATLAB R2018a HOME PLOTS EDITOR Search Documentation Log In Find Files Run Section Go To▼ Comment % Find .compare ▼ New Open Save Run and Advance Advance Run and Print Indent Time FILE Current Folder Name ipynb_checkpoints audio recording Untitled12.m Untitled16.mx 2-clear all 3 -close all 4p- 00-1-1 5- r=roots(p) 田 ) crack 田:Dilip Lokesh Ematlab 田 | MATLAB R2018a Win64 Crack official guide 1.png 2.png 3.png 201902147443c04c3c8610393f25a9fc5ce55fb32205b88018476.. Details Command Windovw Name Value 1.16730.0000i 0.1812 1.08401 0.1812-1.08401 -0.76490.35251 -0.7649-0.3525i 1673 0.0000ç0.18... 92 script Ln 5 Col 11 00:24 0 Type here to search 급t pA ^40)殴脈ENG 13-04-2019
2)from the output we can say that the real root is 1.1673

3)from the abouve graph we can say that the global minimum is -7.5252

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-4 2 2 4 C (0.8849356736492, -1.3422373089473) 2 -3

here red line indicates f(x)

green line indicates p(x)

4)the point of intersection is x=0.8849