Max/min/critical point values
Not what you're looking for?
(See attached file for full problem description)
---
1) Let F(x) = 2√X - X
A. Find the local maximum and minimum values of F (x) in the interval [0,9]
B. Determine whether F(x) satisfies al the conditions of MVT in the interval [0,9]. If f(x) satisfies the condition of MVT determine the 'c' value that satisfies the conclusion of the MVT otherwise state why f(x) does not satisfy the condition of mean value theorem.
C. Find the critical points of F(x)
D. Find the intervals of increase and decrease of f(x)
E. Find the inflection points of f(x)
F. Find the intervals in which f(x) is concave up and f(x) is concave down.
G. Find the local maximum and minimum values of f(x)
H. Sketch the graph of F(x)
2)
Find the vertical, horizontal, and slant asymptotes of the following functions (if they exist).
A. F(x)= (x^2 - 2 ) / (x^2 -4)
B. F(x)= (2x^2 + x + 1) / (x +1)
C. F(x)= (√x^4 -√1) - x^2
---
Purchase this Solution
Solution Summary
This solution is comprised of a detailed explanation to answer the request of the assignment.
Solution Preview
Please see the attached file.
1) Let F(x) = 2√X - X
A. Find the local maximum and minimum values of f (x) in the interval [0,9]
f'(x) = 1/√x - 1 = 0
Therefore, x = 1
Clearly the local maximum exists at x = 1. The local minimum I sat x = 0.
B. Determine whether F(x) satisfies al the conditions of MVT in the interval [0,9]. If f(x) satisfies the condition of MVT determine the 'c' value that satisfies the conclusion of the MVT otherwise state why f(x) does not satisfy the condition of mean value theorem.
MVT says ...
Purchase this Solution
Free BrainMass Quizzes
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.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts