Let f(x) = 10/x − x^2. Find all fixed points of f and determine 9
their stability. To where are orbits under f attracted?
By rules and regulations we are allow to do only one question at a time...so i do only 3rd one..
Doubt in this then comment below.. i will help you..
.
please thumbs up for this solution ..thanks..
.
Let f(x) = 10/x − x^2. Find all fixed points of f and determine 9 their...
? (c) (2 pts) Let f(x) = 4xe-*. Find the fixed points and their stability. (d) (2 pts) Let f(x) = 2.x2 – 3. Find the fixed points along with their stability and determine the 2-cycle along with its stability. (e) (2 pts) Let c > 0 and fc(x) = c (2 - V3x + 4). Find the interval of stability of 0.
7. Consider a family of maps f :R-R, where f(r)= 2+c, cE R. a) Let c 0. Find all the fixed points of f and analyze the map by drawing a cobweb. Check stability of the fixed points b) Find and classify all the fixed points of f as a function of c. c) Find the values of c at which the fixed points bifurcate, and classify those bifurcations. d) For which values of c is there an attracting cycle...
Problem 2: Consider the two-dimensional dynamical system given by F(x, y) = (x2 - y - 1, x + 2y). (a) (8 pts) Find its fixed points and determine their stability. (b) (8 pts) Find any period-2 orbits and determine their stability. If no such orbits exist, prove it.
Math 180 Exam 3 (Question 9) 9) (7 points) Let f(x)=x°-5x +4. Find all values of c in the interval [ – 2, 3] that satisfy the conclusion of the Mean Value Theorem.
5.1 (10 points): Let f(x,y) = 4 – 22 – y? Find all extrema (both relative and absolute) on the square D = {(x, y): 0 535 2,0 Sy <2}. 5.2 (10 points): Let f(x,y) = ry–2x+3y+100. Classify all critical points (rela- tive minimum, relative maximum, saddle point), and find the absolute maximum and absolute minimum on the triangle enclosed by the lines x = -4, y = 4, and y=++3.
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing. List these intervals c) Find the r coordinates of all relative maxima. d) Find, if they exist, the s-coordinates of all points of inflection e) Determine the intervals where f is concave up. List these intervals Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing....
4. (10 points) Let f(x): R +2, f(1) = [2] – 2. (a) Determine if f is one-to-one (injective). Justify your answer. (b) Determine if f is onto (surjective). Justify your answer.
I need a detailed answer please 9) (7 points) Let f(x)=x°-5x+4. Find all values of c in the interval [ - 2, 3) that satisfy the conclusion of the Mean Value Theorem.
Let f(x)=3x-7/x+2. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f. Let Find the open intervals on which is concave up down Then determine the X-coordinates of all inflection points of x = f is concave up on the intervals 1. 2. f is concave down on the intervals 3· The inflection points occur at Notes: In the first two, your answer should either be a single interval,...
Problem 9. (20 points) Let F be the vector field F(x, y, z) = (ey, xey + e*, ye*). (a) (5 points) Compute V F(x, y, z). (b) (10 points) Find a potential function for F or explain why none exists. (c) (5 points) Find ScF. dr, where C is the curve consisting of the line segments from (0,0,0) to (1,2,0), from (1,2,0) to (1,2, 1), and from (1, 2, 1) to (1,2,2).