Question

Let f(x,y) = e-x^2 + 5y^2 - y. Use the Second Partials Test to determine which...

Let f(x,y) = e-x^2 + 5y^2 - y. Use the Second Partials Test to determine which of the following is true.

A) f(x,y) has a saddle point at (0, 1/10)

B) f(x,y) has a relative minimum at (0, 1/10)

C) f(x,y) has a relative maximum at (0, 10)

D) f(x,y) does not have a critical point at (0, 1/10)

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
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.
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...
Given f(x,y) = x2−3y2−8x+9y+3xy  for each and any point that is critical, use the second-partial-derivative test to...
Given f(x,y) = x2−3y2−8x+9y+3xy  for each and any point that is critical, use the second-partial-derivative test to determine whether the point is a relative maximum, relative minimum, or a saddle point.
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...
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
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
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...
Let the random variables X and Y have joint cdf as follows: F(x,y) = {1-e^-4x-e^-5y+e^-4x-5y, x>0,...
Let the random variables X and Y have joint cdf as follows: F(x,y) = {1-e^-4x-e^-5y+e^-4x-5y, x>0, y>0 0, otherwise Find the correlation coefficient of X and Y
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
Let f(x, y) = −x 3 + y 2 . Show that (0, 0) is a...
Let f(x, y) = −x 3 + y 2 . Show that (0, 0) is a saddle point. Note that you cannot use the second derivative test for this function. Hint: Find the curve of intersection of the graph of f with the xz-plane.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT