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

Direction fields, This topic is specified its own section for a couple of p...

This topic is specified its own section for a couple of purposes. Firstly, understanding direction fields and what they tell us regarding a differential equation as well as its sol

Whta is truth table, What is a truth table? Distinguish between Tautology &...

What is a truth table? Distinguish between Tautology & Contradiction?

Multiplication in decimal notations., Consider the following multiplication...

Consider the following multiplication in decimal notations: (999).(abc)=def132 ,determine the digits a,b,c,d,e,f. solution) a=8 b=6 c=8 d=8 e=6 f=7 In other words, 999 * 877 = 8

Hours, jeff left hartford at 2:15 pm and arrived in boston at 4:45 pm how l...

jeff left hartford at 2:15 pm and arrived in boston at 4:45 pm how long did the drive take him?

Calculate maximum area of the triangle, if the sum of lengths of hypotenuse...

if the sum of lengths of hypotenuse and a side of right triangle are given, prove the area of the triangle is maximum when angle between them is pi/3

Xy Algebra, Find the values of x and y

Find the values of x and y

Integrate even or odd function, Integrate following. ∫ -2   2 4x 4 - ...

Integrate following. ∫ -2   2 4x 4 - x 2   + 1dx Solution In this case the integrand is even & the interval is accurate so, ∫ -2   2 4x 4 - x 2   + 1dx = 2∫ o

find the ratio of their 11th terms, The  ratio of the sum of first n term...

The  ratio of the sum of first n terms of two AP's  is 7n+1:4n+27.  Find the ratio of their 11th  terms . Ans:    Let a 1 , a 2 ... and d 1 , d 2 be the I terms are Cd's of t

Grade Average, Homework is worth 10% of my grade, quizzes are worth 30%, an...

Homework is worth 10% of my grade, quizzes are worth 30%, and tests are worth 40%. I have 15 grades in the homework section, they''re all 100''s. I have 2 grades in the quiz sectio

Determine multiplications required to obtain the determinant, Don't count t...

Don't count the number of divisions. Do not use asymptotic notation, instead provide exact answers. (i) What is the maximum number of multiplications required to solve a system

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