Determine the domain of the function, Mathematics

Assignment Help:

Determine or find out the domain of the subsequent function.

r (t) = {cos t, ln (4- t) , √(t+1)}

Solution

The first component is described for all t's. The second component is just only defined for t < 4.  The third component is just only represented for t > -1.  By putting all of these together gives the subsequent domain.

[-1, 4)

This is the greatest possible interval for which all three components are defined.


Related Discussions:- Determine the domain of the function

Rank correlation coefficient, Rank Correlation Coefficient Also ident...

Rank Correlation Coefficient Also identified as the spearman rank correlation coefficient, its reasons is to establish whether there is any form of association among two vari

20 MARK QUESTION, Let E; F be 2 points in the plane, EF has length 1, and l...

Let E; F be 2 points in the plane, EF has length 1, and let N be a continuous curve from E to F. A chord of N is a straight line joining 2 points on N. Prove if 0 Prove that N ha

Systems of differential equations, In the introduction of this section we b...

In the introduction of this section we briefly talked how a system of differential equations can occur from a population problem wherein we remain track of the population of both t

Circle, Circle Well, let's recall just what a circle is. A circle is al...

Circle Well, let's recall just what a circle is. A circle is all the points which are the similar distance, r - called the radius, from a point, ( h, k ) - called the center. I

Pumping lemma for context free languages, 1. Construct a grammar G such tha...

1. Construct a grammar G such that L(G) = L(M) where M is the PDA in the previous question. Then show that the word aaaabb is generated by G. 2. Prove, using the Pumping Lemma f

The distributive law, The Distributive Law :  If you were asked to mentall...

The Distributive Law :  If you were asked to mentally multiply 37 with 9, how would you proceed? 1 would do it as follows - 37 is 30 + 7, 30 x 9 = 270, 7 x 9 = 63, so 270 + 63, th

Develop a linear algebraic equation, Introduction: "Mathematical liter...

Introduction: "Mathematical literacy is an individual's capacity to identify and understand the role that mathematics plays in the world, to make well-founded judgments, and t

Erin is painting a bathroom what is the area to be painted, Erin is paintin...

Erin is painting a bathroom along with four walls each measuring 8 ft through 5.5 ft. Ignoring the doors or windows, what is the area to be painted? The area of the room is the

Bisection method and the newton method, 1. Write two m-files, one for the b...

1. Write two m-files, one for the bisection method and another for Newton's method. 2. Using both the Bisection method and the Newton method answer the following: Include th

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd