Consider the following function :
Consider the following function : QUESTION 1 Consider the following function x3 - 1 f(x) X...
1/A/Consider the following.:f(x) = x2 − 4x − 1 Complete the table. (Round your answers to four decimal places.) x 0.9 0.99 0.999 1 1.001 1.01 1.1 f(x) ? Use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answer to four decimal places. If an answer does not exist, enter DNE.) lim x→1 (x2 − 4x − 1) = ? Can you please explain in clear details,step by...
please solve in a good handwriting and correct final answer asap Use the graph of the function f to decide whether the value of the given quantity exists. If it does, find it. If it does not enter DNE. 10 2 0 2 B 10 (a)/(1) (b) lim () (c)/(4) 2 X (a) lim (1) Need Help? Watch Talk to Tutor 4. (-17 Points] DETAILS LARSONET5 2.2.011. Consider the following. r-2 2-1 + 6.2 lim - 16 Create a table...
Consider the function f(x) = x3 + 3x² - 9x +1. (a) Identify all critical points of f(x). (Providing the -values will be sufficient. Hint: They will be integers.) (b) Use your answer from (a) to identify the absolute maximum value (global max) and absolute minimum value (global min) of f(x) over the x-interval (-2,2]. (Be clear and correct about what you are checking for full credit!)
Consider the following. f(x) = 1 4 x4 + 1 2 x3 − 3x2 + 4 Find f '(x). f '(x) = x3+ 3x2 2−6x Find f ''(x). f ''(x) = 3x2+3x−6 Find the x-values of the possible points of inflection. (Enter your answers as a comma-separated list.) x = Determine the intervals on which the function is concave up. (Enter your answer using interval notation.) Determine the intervals on which the function is concave down. (Enter your answer using...
In MATLAB please Consider the nonlinear function: y = f(x) = x3 cos x a. Plot y as a function of x as x is varied between -67 and 67. In this plot mark all the locations of x where y = 0. Make sure to get all the roots in this range. You may need to zoom in to some areas of the plot. These locations are some of the roots of the above equation. b. Use the fzero...
Consider the following initial-value problem. 5 f'(x) f(1) = 17 Integrate the function f'(x). (Use C for the constant of integration.) f'(x) dx Find the value of C using the condition f(1) = 17. с State the function f(x) found by solving the given initial-value problem. f(x) Consider the following. |--145 – 03 +49) du Simplify the integrand by distributing u to each term. SO Jau du x Find the indefinite integral. (Use C for the constant of integration.) 6...
5. Create a MATLAB script to find the first and second derivative of given function using Forward, Backward, central and Taylor numerical schemes. Test your code using the following functions: f(x)-xe*+3x2 +2x -1 and find f (3) and f' (3) for with h 0.1, 0.01 and 0.001 b. Approximate y'(1) and y"(1) using the following table f(x) 0.992 0.8 0.9 0.999 1.0 1.001 1.008 Input: (copy and paste the MATLAB or Scilab script in the following box) 5. Create a...
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
3. DO NOT USE CALCULATOR for this problem! Find the EXACT VALUES for all the parts. Given the function f(x,y) (a) Calculate the total differential of z at the point (x, y, z) (b) Use the total differential to estimate the value of f(1+2(10200),-1 3(10-200). [ Hint : dz= 2(10-200) dy=_3(10-200)]. (c) Calculate the exact diffe ( f(1.-) I Note: total differentiala exact difference. ] rence of f(1+2(10-200)10 200))- (d) Find an equation for the plane s-L(x,y) tangent t(:-: f(z,y)...
1.3-1.4: Problem 11 Previous Problem Problem List Next Problem (1 point) Consider the function f(x) shown in the graph below. (Note that you can click on the graph to get a larger version of it, and that it may be useful to print that larger version to be able to work with it by hand.) Carefully sketch the derivative function of the given function (you will want to estimate values on the derivative function at different x values as you...