Question

a) The function f(x)=ax^2+8x+b, where a and b are constants, has a local maximum at the...

a) The function f(x)=ax^2+8x+b, where a and b are constants, has a local maximum at the point (2,15). Find the values of a and b.

b) if b is a positive constand and x> 0, find the critical points of the function g(x)= x-b ln x, and determine if this critical point is a local maximum using the second derivative test.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Problem 1. (1 point) Find the critical point of the function f(x,y)=−(6x+y2+ln(|x+y|))f(x,y)=−(6x+y2+ln(|x+y|)). c=? Use the Second...
Problem 1. (1 point) Find the critical point of the function f(x,y)=−(6x+y2+ln(|x+y|))f(x,y)=−(6x+y2+ln(|x+y|)). c=? Use the Second Derivative Test to determine whether it is A. a local minimum B. a local maximum C. test fails D. a saddle point
Given the function f (x, y) = ax^2 2 + 2xy + ay.y 2-ax-ay. Take for...
Given the function f (x, y) = ax^2 2 + 2xy + ay.y 2-ax-ay. Take for a an integer value that is either greater than 1 or less than -1, and then determine the critical point of this function. Then indicate whether it is is a local maximum, a local minimum or a saddle point. Given the function f (x, y) = ax^2 +2 + 2xy + ay^2-2-ax-ay. Take for a an integer value that is either greater than 1...
Consider the function f(x) = x^2/x-1 with f ' (x) = x^2-2x/ (x - 1)^2 and...
Consider the function f(x) = x^2/x-1 with f ' (x) = x^2-2x/ (x - 1)^2 and f '' (x) = 2 / (x - 1)^3 are given. Use these to answer the following questions. (a) [5 marks] Find all critical points and determine the intervals where f(x) is increasing and where it is decreasing, use the First Derivative Test to fifind local extreme value if any exists. (b) Determine the intervals where f(x) is concave upward and where it is...
The function f(x) = x^3+ax^2+bx+7 has a relative extrema at x = 1 and x =...
The function f(x) = x^3+ax^2+bx+7 has a relative extrema at x = 1 and x = -3. a.) What are the values of a and b? b.) Use the second derivative test to classify each extremum as a relative maximum or a relative minimum. c.) Determine the relative extrema.
For the questions below, consider the following function. f (x) = 3x^4 - 8x^3 + 6x^2...
For the questions below, consider the following function. f (x) = 3x^4 - 8x^3 + 6x^2 (a) Find the critical point(s) of f. (b) Determine the intervals on which f is increasing or decreasing. (c) Determine the intervals on which f is concave up or concave down. (d) Determine whether each critical point is a local maximum, a local minimum, or neither.
Let f(x)=x^2- lnx. Find the local maximum and minimum values of f by using the Second...
Let f(x)=x^2- lnx. Find the local maximum and minimum values of f by using the Second Derivative Test.
Consider the function f(x,y) = -8x^2-8y^2+x+y Select all that apply: 1. The function has two critical...
Consider the function f(x,y) = -8x^2-8y^2+x+y Select all that apply: 1. The function has two critical points 2. The function has a saddle point 3. The function has a local maximum 4. The function has a local minimum 5. The function has one critical point *Please show your work so I can follow along*
1. Find the constants a and b so that the function f is continuous, where f(x)...
1. Find the constants a and b so that the function f is continuous, where f(x) =(ax^2 + bx if x <=1 or x > 2; (7x+4) 3 if 1 < x <= 2
consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum...
consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum values. Justify your answer using the first or second derivative test . round your answers to the nearest tenth as needed. b)find the intervals of concavity and any inflection points of f. Round to the nearest tenth as needed. c)graph f(x) and label each important part (domain, x- and y- intercepts, VA/HA, CN, Increasing/decreasing, local min/max values, intervals of concavity/ inflection points of f?
Find the critical point of the function f(x,y)=x2+y2+xy+12x c=________ Use the Second Derivative Test to determine...
Find the critical point of the function f(x,y)=x2+y2+xy+12x c=________ Use the Second Derivative Test to determine whether the point is A. a local maximum B. a local minimum C. a saddle point D. test fails
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT