Vector Calculus
Not what you're looking for?
F(x,y) = x^3 + y - xy + 1
a) Are there points on the curve y = (x - 1)^2 where Gradient f is perpendicular to the curve?
b) Find the absolute maximum and minimum of the function in the region 1 >= x >= 0 and y >= 0.
Purchase this Solution
Solution Summary
A vector function is analyzed. The absolute maximum and minimum of a function in the region is determined. The solution is detailed and well presented.
Solution Preview
a) Gradient of the function f(x,y) = x^3 + y - xy + 1 has components:
3x^2 - y and 1-x. A normal vector to the curve y = (x - 1)^2 has components 2(x-1) and -1. ...
Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Probability Quiz
Some questions on probability
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.