Mathematics: Determine the domain of f(t) = tan(t), 8t, ln(4 − t2) . (enter your answer using interval notation.)

Determine the domain of f(t) = tan(t), 8t, ln(4 −

Ответ:

rileymorrison8825

12.03.2022

$\bigg(-2,\displaystyle\frac{-\pi}{2}\bigg) \cup \bigg(\displaystyle\frac{-\pi}{2}, \displaystyle\frac{\pi}{2}\bigg) \cup \bigg(\displaystyle\frac{\pi}{2}, 2\bigg)$

Step-by-step explanation:

f(t) = (tan(t) , 8t , ln(4-t^2))

In order to find domain of f(t), we have to find individual domain

Domain of tan(t):

t can take values $\frac{\pi}{2} + \pi n, \text{ for n} = ...-2,-1,0,1,2...$

Domain for 8t:

t can take values $(-\infty, \infty)$

Domain for ln(4t - t^2) :

$4t - t^2 0\\t^2 < 4\\-2 < t < 2$

Now, domain for f(t) is the common for all the three domains.

So domain of f(t) is given by:

$\bigg(-2,\displaystyle\frac{-\pi}{2}\bigg) \cup \bigg(\displaystyle\frac{-\pi}{2}, \displaystyle\frac{\pi}{2}\bigg) \cup \bigg(\displaystyle\frac{\pi}{2}, 2\bigg)$

0,0(0 оценок)

Ответ:

ariana0517

16.01.2022

Mathematics

N = 3

44.
5 + (6 x3)^2 / 3 x (2 + 1)
5 + (18)^2 / 3 x (3)
5 + (324) / 9
329 / 9
36.55...

45.
(20 x 3) - 3^2
60 - 9
51
(There might be a chance that the answer is N/A... I forget what can’t be negative in an exponent.)

46.
(-5 x3) + (3 x 3) - (7 x 3)
-15 + 9 - 21
-27

0,0(0 оценок)

Determine the domain of f(t) = tan(t), 8t, ln(4 − t2) . (enter your answer using interval notation.)

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question