Linearization of a function
Not what you're looking for?
The distance l from a point at a height h above the Earth's surface to the horizon can be approximated using Pythagoras' theorem by the expression: (Please see the attachment below)
(a) Find an expression which serves as a linear approximation for l at h=1000 m.
(b) Give two assumptions you think have been made in deriving the expression above.
Purchase this Solution
Solution Summary
This shows how to perform linearization of a function related to the Pythagorean theorem. Two assumptions for deriving the expressions are provided.
Solution Preview
Please see the attachment below for the complete solution.
The above equation can be written in a more useful form as:
l = (h^2+2rh)^1/2
Taking the derivative of l with respect to h gives:
dl/dh = ...
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
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.