Given the function f(x) = 6e-45 List the x-coordinates of the critical values (enter DNE if...
Find the maximum and minimum values of the function g(0) interval [o. 7 2θ-4 sin(θ) on the Preview Minimum value-pi/3+2pi Maximum value O Preview Given the function f(z) = 2e - List the x-coordinates of the critical values (enter DNE if none) DNE List the x-coordinates of the inflection points (enter DNE if none) DNE List the intervals over which the function is increasing or decreasing (use DNE for any empty intervals) Increasing on DNE Preview Decreasing on -1/5 *Preview...
70 60 50 40 30 20 10 -19 10 20 30 40 50 60 You are a lifeguard and spot a drowning child 60 meters along the shore and 70 meters from the shore to the child. You run along the shore and for a while and then jump into the water and swim from there directly to child. You can run at a rate of 3 meters per second and swim at a rate of 1.1 meters per second....
Suppose that f(x)=ln(8x+6) (A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'. (B) Use interval notation to indicate where f(x)f(x) is increasing. Note: Use 'INF' for ∞, '-INF' for −∞, and use 'U' for the union symbol. If there is no interval, enter 'NONE'. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) List the xx values of all local maxima of f(x). If there are no local...
2. for the function f(x)= x+2 cos x on the interval [0,2pi] a. find the first derivative b.) find the second derivative c.) find the functions critical values(if any). include their y- coordinates in your answers in order to form critical points. d. )find the intervals on which f is increasing or decreasing. e. )find the local extrema of f. f. )find the functions hyper critical values(if any). include their y coordinates g.) find the intervals of concavity, i.e. the...
(A) Find all critical values off. If there are no critical values, enter None. If there are more than one enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(a) is increasing. If it is increasing on more than one interval, enter the union of all intervals where f(a) is increasing Increasing: (C) Use interval notation to indicate where f(a) is decreasing. If it is decreasing on more than one interval, enter the union...
For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither; b) identify intervals where the function is increasing or decreasing; c) give the coordinates of any points of inflection; d) identify intervals where the function is concave up or concave down, and e) sketch the graph. h(x) = x - 24x
Find the critical points and the intervals on which the function f(t)=2-3«/, (x > 0) is increasing or decreasing. Use the First Derivative Test to determine whether the critical point is a local minimum or maximum (or neither). Find the 2-coordinates of the critical points that correspond to a local minimum. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) Find the -coordinates...
Consider the equation below. (If an answer does not exist, enter DNE.) FX) - - 2 - 15x + 4 (a) Find the interval on which is increasing (Enter your answer using interval notation) Find the interval on which is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of local minimum value local maximum value (c) Find the inflection point (X,Y) - Find the interval on which is concave up. (Enter your answer...
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function. • If you are asked to find 2- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. • If you are asked to find an interval or union of intervals, use interval notation. Enter { } if an interval is empty • If you are asked to find a limit, enter either...
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,...