Question

Consider the following function. f (x, y)  =  (x − 6) ln(x5y) (a) Find the critical...

Consider the following function.

f (x, y)  =  (x − 6) ln(x5y)
(a) Find the critical point of  f.
If the critical point is (a, b) then enter 'a,b' (without the quotes) into the answer box.
(b) Using your critical point in (a), find the value of D(a, b) from the Second Partials test that is used to classify the critical point.
(c) Use the Second Partials test to classify the critical point from (a).

one of: relative max, relative min, inconclusive, saddle point
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
Consider the following function. g(x, y)  =  e− 4x^2 + 4y^2 + 8 √ 8y (a)...
Consider the following function. g(x, y)  =  e− 4x^2 + 4y^2 + 8 √ 8y (a) Find the critical point of g. If the critical point is (a, b) then enter 'a,b' (without the quotes) into the answer box. (b) Using your critical point in (a), find the value of D(a, b) from the Second Partials test that is used to classify the critical point. (c) Use the Second Partials test to classify the critical point from (a). A) Saddle...
Let  f (x, y)  =  (x − 9) ln(xy). (a) Find the the critical point (a, ...
Let  f (x, y)  =  (x − 9) ln(xy). (a) Find the the critical point (a, b). Enter the values of a and b (in that order) into the answer box below, separated with a comma. (b) Classify the critical point. (A) Inconclusive (B) Relative Maximum (C) Relative Minimum (D) Saddle Point
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
Examine the function f(x, y) = 2x 2 + 2xy + y 2 + 2x −...
Examine the function f(x, y) = 2x 2 + 2xy + y 2 + 2x − 3 for relative extrema. Use the Second Partials Test to determine whether there is a relative maximum, relative minimum, a saddle point, or insufficient information to determine the nature of the function f(x, y) at the critical point (x0, y0), such that fxx(x0, y0) = −3, fyy(x0, y0) = −8, fxy(x0, y0) = 2.
You are given that the function f(x,y)=8x2+y2+2x2y+3 has first partials fx(x,y)=16x+4xy and fy(x,y)=2y+2x2, and has second...
You are given that the function f(x,y)=8x2+y2+2x2y+3 has first partials fx(x,y)=16x+4xy and fy(x,y)=2y+2x2, and has second partials fxx(x,y)=16+4y, fxy(x,y)=4x and fyy(x,y)=2. Consider the point (0,0). Which one of the following statements is true? A. (0,0) is not a critical point of f(x,y). B. f(x,y) has a saddle point at (0,0). C. f(x,y) has a local maximum at (0,0). D. f(x,y) has a local minimum at (0,0). E. The second derivative test provides no information about the behaviour of f(x,y) at...
Consider the function f(x,y) = ( x2 + z2)ln(y) a)Find the gradient of f. b) Find...
Consider the function f(x,y) = ( x2 + z2)ln(y) a)Find the gradient of f. b) Find the rate of change of f at the point (2, 1, 1) in the direction of ?⃗ = 〈−2, 4, −4〉
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
Find the Critical point(s) of the function f(x, y) = x^2 + y^2 + xy -...
Find the Critical point(s) of the function f(x, y) = x^2 + y^2 + xy - 3x - 5. Then determine whether each critical point is a local maximum, local minimum, or saddle point. Then find the value of the function at the extreme(s).
6. (5 marks) Consider the function f defined by f (x, y) = ln(x − y)....
6. Consider the function f defined by f (x, y) = ln(x − y). (a) Determine the natural domain of f. (b) Sketch the level curves of f for the values k = −2, 0, 2. (c) Find the gradient of f at the point (2,1), that is ∇f(2,1). (d) In which unit vector direction, at the point (2,1), is the directional derivative of f the smallest and what is the directional derivative in that direction?
Consider the function f(x) = (8x^3-4x)^3 (a) Find the derivative (b) Find critical numbers of f....
Consider the function f(x) = (8x^3-4x)^3 (a) Find the derivative (b) Find critical numbers of f. (Hint there are 5 critical numbers) Round your answers to three decimals. (c) Fill out the sign chart for the derivative below. Please label the axis as appropriate for your critical numbers. (d) What are the relative max(es) and min() of f?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT