Directional derivatives, What are directional derivatives? Explain with two...

What are directional derivatives? Explain with two or more examples..

Mathematical methods of economic analysis, I need answers for these 10 exam...

I need answers for these 10 exam questions: 1.Input-output (Leontief) model: main assumptions and construction. Definition of productivity. Necessary condition of productivity of i

Simplifying rational expressions, I need to simple this rational expression...

I need to simple this rational expression, but I can''t figure out how. (x+1)/(x^2-2x-35)+(x^2+x-12)/(x^2-2x-24)(x^2-4x-12)/(x^2+2x-15)

Explanation of rational expression,

Find the constant rate of 0.01 , Two people are 50 feet separately.  One of...

Two people are 50 feet separately.  One of them begin walking north at rate so that the angle illustrated in the diagram below is changing at constant rate of 0.01 rad/min. At what

Definition of infinite limits, Infinite limits : Let's now move onto the d...

Infinite limits : Let's now move onto the definition of infinite limits. Here are the two definitions which we have to cover both possibilities, limits which are positive infinity

Find the maximum expected holdings, Problem: A person has 3 units of mo...

Problem: A person has 3 units of money available for investment in a business opportunity that matures in 1 year. The opportunity is risky in that the return is either double o

Damping force, The subsequent force that we want to consider is damping. Th...

The subsequent force that we want to consider is damping. This force may or may not be there for any specified problem. Dampers work to counteract any movement. There are some w

Focal chord of the parabola, show that the circle described on any focal c...

show that the circle described on any focal chord of the parabola touches the directrix

Explain why f must be a di?erentiable function, Let f : R 3 → R be de?ned ...

Let f : R 3 → R be de?ned by:                                        f(x, y, z) = xy 2 + x 3 z 4 + y 5 z 6 a) Compute ~ ∇f(x, y, z) , and evaluate ~ ∇f(2, 1, 1) . b) Brie?y