Question

Let h(x,y)=k*x^2+6xy+14*y^2+4y+10. (a) Find the minimal value of the function h for k = 2. (b)...

Let h(x,y)=k*x^2+6xy+14*y^2+4y+10.

(a) Find the minimal value of the function h for k = 2.

(b) Using envelope theorem find approximate minimal value of h for k = 1.98.

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
Let F(x,y) = x^2 +3xy+4y^2 −14. Solve the equation x^2 +3xy+4y^2 −14 = 0 by the...
Let F(x,y) = x^2 +3xy+4y^2 −14. Solve the equation x^2 +3xy+4y^2 −14 = 0 by the quadratic formula for x in terms of y. Determine dx/dy when y = 1. Find the function y = f(x) for which F(x,f(x)) = 0 and f(2) = 1. Determine f′(2). How is f′(2) related to the value of dx/dy that you found above.
Let f(x, y) = 2x 3 − 6xy + y 2 − 4. Find all local...
Let f(x, y) = 2x 3 − 6xy + y 2 − 4. Find all local minima, local maxima, and saddle points of f(x, y).
Let⇀H=〈−y(2 +x), x, yz〉 (a) Show that ⇀∇·⇀H= 0. (b) Since⇀H is defined and its component...
Let⇀H=〈−y(2 +x), x, yz〉 (a) Show that ⇀∇·⇀H= 0. (b) Since⇀H is defined and its component functions have continuous partials on R3, one can prove that there exists a vector field ⇀F such that ⇀∇×⇀F=⇀H. Show that F = (1/3xz−1/4y^2z)ˆı+(1/2xyz+2/3yz)ˆ−(1/3x^2+2/3y^2+1/4xy^2)ˆk satisfies this property. (c) Let⇀G=〈xz, xyz,−y^2〉. Show that⇀∇×⇀G is also equal to⇀H. (d) Find a function f such that⇀G=⇀F+⇀∇f.
Let x(k) = (0.7)ku(k), h(k) = (0.5)-ku(-k) Find the convolution y(k) of x(k) and h(k).
Let x(k) = (0.7)ku(k), h(k) = (0.5)-ku(-k) Find the convolution y(k) of x(k) and h(k).
1. Find the differential of f(x,y)=\sqrt{x + e^{4y}}f(x,y)= x+e^4y and use it to find the approximate...
1. Find the differential of f(x,y)=\sqrt{x + e^{4y}}f(x,y)= x+e^4y and use it to find the approximate change in the function f(x,y)f(x,y) as (x,y)(x,y) changes from (3,0)(3,0) to (2.6,0.1)(2.6,0.1).
Consider the function given by f(x,y) = 3x2 −6xy + 2y3 + 23. (a) Find all...
Consider the function given by f(x,y) = 3x2 −6xy + 2y3 + 23. (a) Find all critical points of f(x,y) and determine their nature. (b) What are the minimum and maximum values of f(x,y) on the straight line segment given by 0 ≤ x ≤ 3, y = 2?
Let X and Y have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1. a) Find k. b)...
Let X and Y have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1. a) Find k. b) Find the joint cumulative density function of (X,Y) c) Find the marginal pdf of X and Y. d) Find Pr[Y<X2] and Pr[X+Y>0.5]
Let y=2−3x+∑n=2∞an x power n be the power series solution of the differential equation: y″+6xy′+6y=0 about...
Let y=2−3x+∑n=2∞an x power n be the power series solution of the differential equation: y″+6xy′+6y=0 about x=0. Find a4.
find the general solution to x^2*y''+6xy'+6y=0
find the general solution to x^2*y''+6xy'+6y=0
4. Consider the function z = f(x, y) = x^(2) + 4y^(2) (a) Describe the contour...
4. Consider the function z = f(x, y) = x^(2) + 4y^(2) (a) Describe the contour corresponding to z = 1. (b) Write down the equation of the curve obtained as the intersection of the graph of z and the plane x = 1. (c) Write down the equation of the curve obtained as the intersection of the graph of z and the plane y = 1. (d) Write down the point of intersection of the curves in (b) and...