From Hardcover Book, Marsden/Tromba, Vector Calculus Let f(x, y) = 5ye^x - e^5x - y^5
A) Show that f has a unique critical point and that this point is a local maximum for f.
B) Show that ff is unbounded on the y-axis, and thus has no global maximum. (Note that for a differentiable function g(x) of a single variable, a unique critical point which is a local extremum is necessarily a global extremum. This example shows that this is not the case for functions of several variables).

What is the definition of exponential decay?

Desmond wants to sell his car that he paid $8,000 for 2 years ago. the car depreciated, or decreased in value, at a constant rate each month over a 2-year period. if x represents the monthly depreciation amount, which expression shows how much desmond can sell his car for today? 8,000 + 24x 8,000 - 24x 8,000 + 2x 8,000 - 2xdesmond wants to sell his car that he paid $8,000 for 2 years ago. the car depreciated, or decreased in value, at a constant rate each month over a 2-year period. if x represents the monthly depreciation amount, which expression shows how much desmond can sell his car for today? 8,000 + 24x 8,000 - 24x 8,000 + 2x 8,000 - 2x

Which diagram shows lines that must be parallel lines cut by transversal?