Engineering Mathematics Exam  >  Engineering Mathematics Videos  >  Evaluating composite functions example

Evaluating composite functions example Video Lecture - Engineering Mathematics

FAQs on Evaluating composite functions example Video Lecture - Engineering Mathematics

1. What is a composite function in engineering mathematics?
Ans. A composite function is a mathematical function that is formed by performing one function followed by another function. In engineering mathematics, composite functions are commonly used to model complex systems or processes.
2. How do you evaluate a composite function?
Ans. To evaluate a composite function, you first perform the inner function and then substitute the result into the outer function. This involves applying the operations of the inner function to the input, and then using the output of the inner function as the input for the outer function.
3. What are some applications of composite functions in engineering?
Ans. Composite functions have various applications in engineering. They can be used to model physical systems, such as electrical circuits or mechanical systems. Composite functions are also used in signal processing, control systems, and optimization problems.
4. Can you give an example of a composite function in engineering mathematics?
Ans. Sure! Let's consider a scenario where we have a temperature sensor that measures the temperature of a room, and a cooling system that adjusts the temperature based on the sensor reading. The temperature sensor can be represented by the function f(x) = x + 5, where x is the actual temperature. The cooling system can be represented by the function g(y) = y - 2, where y is the desired temperature. The composite function representing the overall system would be g(f(x)) = (x + 5) - 2.
5. How can composite functions be helpful in solving engineering problems?
Ans. Composite functions allow engineers to break down complex systems into simpler components, making it easier to analyze and solve engineering problems. By using composite functions, engineers can model and optimize various aspects of a system, leading to more efficient designs and improved performance.
Related Searches

mock tests for examination

,

practice quizzes

,

pdf

,

ppt

,

Evaluating composite functions example Video Lecture - Engineering Mathematics

,

Previous Year Questions with Solutions

,

video lectures

,

Evaluating composite functions example Video Lecture - Engineering Mathematics

,

past year papers

,

Semester Notes

,

Objective type Questions

,

Important questions

,

MCQs

,

Summary

,

Extra Questions

,

Free

,

study material

,

Evaluating composite functions example Video Lecture - Engineering Mathematics

,

shortcuts and tricks

,

Sample Paper

,

Viva Questions

,

Exam

;