Question

Let f(x,y) = 3x^2 + cos(Pi*y). a) f has a saddle point at (0,k) whenever k...

Let f(x,y) = 3x^2 + cos(Pi*y). a) f has a saddle point at (0,k) whenever k is an odd integer b) f has a saddle point at (0,k) whenever k is an even integer) c) f has a local maximum at (0,k) whenever k is an even integer d) f has a local minimum at (0,k) whenever k is an odd integer.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the area of one loop of the polar curve r=4*sin(3*theta + Pi/3) Let f(x,y) =...
Find the area of one loop of the polar curve r=4*sin(3*theta + Pi/3) Let f(x,y) = 3x^2 + cos(Pi*y). a) f has a saddle point at (0,k) whenever k is an odd integer b) f has a saddle point at (0,k) whenever k is an even integer) c) f has a local maximum at (0,k) whenever k is an even integer d) f has a local minimum at (0,k) whenever k is an odd integer
Let f(x,y) = 3x^2y − 2y^2 − 3x^2 − 8y + 2. (i) Find the stationary...
Let f(x,y) = 3x^2y − 2y^2 − 3x^2 − 8y + 2. (i) Find the stationary points of f. (ii) For each stationary point P found in (i), determine whether f has a local maximum, a local minimum, or a saddle point at P. Answer: (i) (0, −2), (2, 1), (−2, 1) (ii) (0, −2) loc. max, (± 2, 1) saddle points
(3)If H(x, y) = x^2 y^4 + x^4 y^2 + 3x^2 y^2 + 1, show that...
(3)If H(x, y) = x^2 y^4 + x^4 y^2 + 3x^2 y^2 + 1, show that H(x, y) ≥ 0 for all (x, y). Hint: find the minimum value of H. (4) Let f(x, y) = (y − x^2 ) (y − 2x^2 ). Show that the origin is a critical point for f which is a saddle point, even though on any line through the origin, f has a local minimum at (0, 0)
Let f(x, y) = (2y-x^2)(y-2x^2) a. Show that f(x, y) has a stationary point at (0,...
Let f(x, y) = (2y-x^2)(y-2x^2) a. Show that f(x, y) has a stationary point at (0, 0) and calculate the discriminant at this point. b. Show that along any line through the origin, f(x, y) has a local minimum at (0, 0)
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).
Find the location of the critical point of the function f(x,y)= kx^(2)+3y^(2)-2xy-24y (in terms of k)...
Find the location of the critical point of the function f(x,y)= kx^(2)+3y^(2)-2xy-24y (in terms of k) of t. The classify the values of k for which the critical point is a: I) Saddle Point II) Local Minimum III) Local Maximum
Find all local maximum or local minimum or saddle point for f(x,y)= 8y^3 + 12x^2 -24xy
Find all local maximum or local minimum or saddle point for f(x,y)= 8y^3 + 12x^2 -24xy
Find the local maximum and minimum values and saddle point(s) of the function f ( x...
Find the local maximum and minimum values and saddle point(s) of the function f ( x , y ) = f(x,y)=xe^(-2x2-2y2). If there are no local maxima or minima or saddle points, enter "DNE." The local maxima are at ( x , y ) = (x,y)= . The local minima are at ( x , y ) = (x,y)= . The saddle points are at ( x , y ) =
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...
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