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

integration: if f(x)+f(x+1/2) =1 find limit 0 to 2, f(x)+f(x+1/2) =1 f(x...

f(x)+f(x+1/2) =1 f(x)=1-f(x+1/2) 0∫2f(x)dx=0∫21-f(x+1/2)dx 0∫2f(x)dx=2-0∫2f(x+1/2)dx take (x+1/2)=v dx=dv 0∫2f(v)dv=2-0∫2f(v)dv 2(0∫2f(v)dv)=2 0∫2f(v)dv=1 0∫2f(x)dx=1

Puzzle, 0+50x1-60-60x0+10

0+50x1-60-60x0+10

If a differential equation does have a solution can we find?, It may seem l...

It may seem like an odd question to ask and until now the answer is not all the time yes. Just as we identify that a solution to a differential equations exists does not implies th

Vectors, If r,R denote position vectors of points on the straight lines in ...

If r,R denote position vectors of points on the straight lines in the direction of a and b respectively, and if n is a unit vector perpendicular to both these directions, show that

Ordinary differential equations, Verify Liouville''s formula for y^ prime p...

Verify Liouville''s formula for y^ prime prime prime -y^ prime prime - y'' + y = 0 in [0, 1]

What difference among the areas of the two sections of a, If the areas of t...

If the areas of two sections of a garden are 6a + 2 and 5a, what is the difference among the areas of the two sections within terms of a? Because the question asks for the diff

Travel time, you are driving on a freeway to a tour that is 500 kilometers ...

you are driving on a freeway to a tour that is 500 kilometers from your home. after 30 minutes , you pass a freeway exit that you know is 50 kilometer from your home. assuming that

Finance, Determine the value of a $1800 investment after six years at 9.3% ...

Determine the value of a $1800 investment after six years at 9.3% per year, simple interest

Evaluate the volume and surface area of a rectangular solid, Evaluate the v...

Evaluate the volume and surface area of a rectangular solid: Calculate the volume & surface area of a rectangular solid along with a =   3", b = 4", & c = 5".  Solution:

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