Given the function: f(x)=(x^2-4x+6)/(x-1)^2 a) Find the asymptotes of f, if any b) Find the first...
Given the function: f(x)=(x^2-4x+6)/(x-1)^2
a) Find the asymptotes of f, if any
b) Find the first and the second derivatives of f
c) Find the intervals of increase and decrease of f
d) Find the relative maxima and the relative minima, if any
e) Find the intervals where f is concave up and down, respectively, together with the points of inflection, if any.
Homework Answers
Add Answer to:
Given the function:
f(x)=(x^2-4x+6)/(x-1)^2
a) Find the asymptotes of f, if any
b) Find the first...
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes...
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes off. (b) On what intervals is f increasing? decreasing? (c) Find all local maximum and minimum values of (d) On what intervals is f concave up? concave down? (e) Find all inflection points of f. (f) Using the information from (a) to (e), sketch a graph of J. Clearly label any asymptotes, local extrema, and inflection points.
1. (20 points) The second derivative of a function f(x) satisfies f "(x) = 10x4 -...
1. (20 points) The second derivative of a function f(x) satisfies f "(x) = 10x4 - 2 Moreover, f'(0) = 0 and f(1) = 0. (a) Find the function f(x). (b) Draw a graph of f(x). Indicate all asymptotes (if any), local maxima and minima, inflection points, intervals where f(x) is increasing, and intervals where f(x) is concave upward.
a-i pls thank you 13. A function is given below along with both its first and...
a-i pls thank you
13. A function is given below along with both its first and second derivatives. f(x) 2x+4 2x+3 (x+1) 4x+10 Find the following for this function: (a) the domain (b)x and y-intercepts (c) vertical anf horizontal asymptotes (d) critical numbers (e) intervals of increase and/or intervals of decrease (1) local extreme values (2) inflection points (h) intervals of concave up and concave down (1) graph the function and carefully label the y-intercept, local extrema, and point(s) of...
(x + 1)2 Consider the function f(x) -. The first and second derivatives of f(x) are...
(x + 1)2 Consider the function f(x) -. The first and second derivatives of f(x) are 1 + x2 2(1 – x2) 4x(x2 - 3) f'(x) = and f" (2) Using this information, (1 + x2) (1 + x2)3 (a) Find all relative extrema. (4 points) Minimum: Maximum: (b) Find the intervals of concavity for f(x) and identify any inflection points for yourself. (5 points) Concave up: Concave down: (c) Using the fact that lim f(x) = 1, and our...
2. Consider the function f(x) = ln (x+4) [6-6+8-16 marks] Note: f'()1")*** 3(4-2) a) On which...
2. Consider the function f(x) = ln (x+4) [6-6+8-16 marks] Note: f'()1")*** 3(4-2) a) On which intervals is f(x) increasing or decreasing b) On which intervals is f(x) concave up or down? c) Sketch the graph of f(x) below Label any intercepts, asymptotes, relative minima, relative maxima and infection points
4. For this question, define f(x) = (x - 1)e-(0-1). (a) Find f'(x) and f"(x). (b)...
4. For this question, define f(x) = (x - 1)e-(0-1). (a) Find f'(x) and f"(x). (b) Find where S is increasing and where / is decreasing (e) Find where S is concave up and where / is concave down. (a) Find all critical points of . For each point you find, explain whether it is a (relative) maximum, a (relative) minimum or neither. (e) Find all points of inflection of f. For each point you find, explain why it is...
1. Consider the function f(x) = xe-* a) On what interval, if any, is the function...
1. Consider the function f(x) = xe-* a) On what interval, if any, is the function f(x) increasing? b) For what value(s) of x does the function have any relative maxima or minima? c) On what intervals, if any, is the graph of f(x) concave down? d) For what value(s) of x, if any, does the the function have a point of inflection?
1. Consider the function f(x) = xe-* a) On what interval, if any, is the function...
1. Consider the function f(x) = xe-* a) On what interval, if any, is the function f(x) increasing? b) For what value(s) of x does the function have any relative maxima or minima? c) On what intervals, if any, is the graph of f(x) concave down? d) For what value(s) of x, if any, does the the function have a point of inflection?
A function and its first and second derivatives are given. Use these to find each of...
A function and its first and second derivatives are given. Use these to find each of the following. (If an answer does not exist, enter DNE.) f(x) = 12x2/3 x + 1 4(2-x) f'(x) = x1/3(x + 1)2 f"(x) = 8(2x2 - 8x - 1) 3x4/3(x + 1)3 Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.) horizontal asymptotes vertical asymptotes Find any critical points. (x, y) = (0.0 (smaller x-value) (x, y) =...
2. for the function f(x)= x+2 cos x on the interval [0,2pi] a. find the first...
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...
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes off. (b) On what intervals is f increasing? decreasing? (c) Find all local maximum and minimum values of (d) On what intervals is f concave up? concave down? (e) Find all inflection points of f. (f) Using the information from (a) to (e), sketch a graph of J. Clearly label any asymptotes, local extrema, and inflection points.
1. (20 points) The second derivative of a function f(x) satisfies f "(x) = 10x4 - 2 Moreover, f'(0) = 0 and f(1) = 0. (a) Find the function f(x). (b) Draw a graph of f(x). Indicate all asymptotes (if any), local maxima and minima, inflection points, intervals where f(x) is increasing, and intervals where f(x) is concave upward.
a-i pls thank you
13. A function is given below along with both its first and second derivatives. f(x) 2x+4 2x+3 (x+1) 4x+10 Find the following for this function: (a) the domain (b)x and y-intercepts (c) vertical anf horizontal asymptotes (d) critical numbers (e) intervals of increase and/or intervals of decrease (1) local extreme values (2) inflection points (h) intervals of concave up and concave down (1) graph the function and carefully label the y-intercept, local extrema, and point(s) of...
(x + 1)2 Consider the function f(x) -. The first and second derivatives of f(x) are 1 + x2 2(1 – x2) 4x(x2 - 3) f'(x) = and f" (2) Using this information, (1 + x2) (1 + x2)3 (a) Find all relative extrema. (4 points) Minimum: Maximum: (b) Find the intervals of concavity for f(x) and identify any inflection points for yourself. (5 points) Concave up: Concave down: (c) Using the fact that lim f(x) = 1, and our...
2. Consider the function f(x) = ln (x+4) [6-6+8-16 marks] Note: f'()1")*** 3(4-2) a) On which intervals is f(x) increasing or decreasing b) On which intervals is f(x) concave up or down? c) Sketch the graph of f(x) below Label any intercepts, asymptotes, relative minima, relative maxima and infection points
4. For this question, define f(x) = (x - 1)e-(0-1). (a) Find f'(x) and f"(x). (b) Find where S is increasing and where / is decreasing (e) Find where S is concave up and where / is concave down. (a) Find all critical points of . For each point you find, explain whether it is a (relative) maximum, a (relative) minimum or neither. (e) Find all points of inflection of f. For each point you find, explain why it is...
1. Consider the function f(x) = xe-* a) On what interval, if any, is the function f(x) increasing? b) For what value(s) of x does the function have any relative maxima or minima? c) On what intervals, if any, is the graph of f(x) concave down? d) For what value(s) of x, if any, does the the function have a point of inflection?
1. Consider the function f(x) = xe-* a) On what interval, if any, is the function f(x) increasing? b) For what value(s) of x does the function have any relative maxima or minima? c) On what intervals, if any, is the graph of f(x) concave down? d) For what value(s) of x, if any, does the the function have a point of inflection?
A function and its first and second derivatives are given. Use these to find each of the following. (If an answer does not exist, enter DNE.) f(x) = 12x2/3 x + 1 4(2-x) f'(x) = x1/3(x + 1)2 f"(x) = 8(2x2 - 8x - 1) 3x4/3(x + 1)3 Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.) horizontal asymptotes vertical asymptotes Find any critical points. (x, y) = (0.0 (smaller x-value) (x, y) =...
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...
Most questions answered within 3 hours.
-
You have a 825.3 mL sample of 2.754 M HA (Ka =
4.49⋅10−4). Calculate the pH...
asked 53 minutes ago -
The blues made its way into many kinds of music. Eric Clapton,
The Beatles, and Elvis...
asked 2 hours ago -
8. A wave in a string has a wave function given by: y (x, t) =...
asked 2 hours ago -
If you’re standing at the bottom of a hill and asked to evaluate
it while being...
asked 3 hours ago -
1. Which region has taken the lead in the world of
e-waste handling?
a) European Union...
asked 3 hours ago -
A 8.15- g bullet from a 9-mm pistol has a velocity of 366.0 m/s.
It strikes...
asked 5 hours ago -
The outstanding bonds of Alpha Extracts have a yield to maturity
of 7.4 percent and a...
asked 5 hours ago -
The Problem: The Case of the Harmonizing Vacations
Your CEO is exploring partnering with a European...
asked 6 hours ago -
A chemical equation is balanced by adding coefficients in front
of some formulas so that the...
asked 6 hours ago -
From the literature (reference your sources): What are the
lattice parameters of calcite and aragonite? Why...
asked 7 hours ago -
Your system is rejecting the question am asking which is
preceded by a case study. It...
asked 7 hours ago -
3. On January 2, 2000, Larry creates a trust with himself as
trustee. Larry as trustee...
asked 7 hours ago