Question

Find the domain of the vector function
r(t)=< ln(9t),sqrt(t+3), 1/(sqrt(15-t))>

Answer 1

find the domain of all 3 functions...take the intersection

Answer 2

i got (-3,infinity)U(-infinity,15) but it says I'm wrong.

Answer 3

(0,15)

Answer 4

its still wrong =[

Answer 5

is \[r(t)=\left<\ln(9t),\sqrt{t+3},\frac{1}{\sqrt{15-t}}\right>\]?

Answer 6

yeah thats the problem

Answer 7

then (0,15) is the answer

Answer 8

o.o y don't you include the -3

Answer 9

what is the value of the first component if you plug in -3

Answer 10

ln(-27)

Answer 11

correct...and you cant take the ln of a negative number ...unless you want a complex numbe

Answer 12

ohhh thanks!!!