Question
Asked Oct 21, 2019
3 views
Find the absolute maximum and absolute minimum values of fon the given interval.
5t 5 cot(t/2),
f(t)
/4, 7T/4]
absolute minimum value
absolute maximum value
help_outline

Image Transcriptionclose

Find the absolute maximum and absolute minimum values of fon the given interval. 5t 5 cot(t/2), f(t) /4, 7T/4] absolute minimum value absolute maximum value

fullscreen
check_circle

Expert Answer

Step 1

Consider the given function f(t).

Differentiate the given function w.r.to t and find the critical points,

fullscreen
Step 2

The value of t within the given condition is,

help_outline

Image Transcriptionclose

CSC 2 7 TT = 2; <ts 4 CsC 2 4 л Зл t= 2 2 csc 2 No solutions Combine all the solutions, л Зл So,t 2 2

fullscreen
Step 3

Now, Check which value of t satisfy f...

help_outline

Image Transcriptionclose

csc2 2 2 5 ..2 csc 2 f (t) 0 cSC - x cot 2 x Csc 2 5 =-csc 2 cot 4 2 4 = 5 >0(minima) Зл 5 csc 2 Зл cot 4 Зл 2 =-5 0(maxima)

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A
add