Find the average rate of change of the function over the given intervals. h(t) = cot t a. 4' 4

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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On my homework, there is a question using 'cot'. I've attached it in a pic below, but I don't understand where they got the answer of -2 from simplifying the top of the fraction. I just finished pre-calc and started Calc 1, but I am so confused, I dont know what cot is or how to use it or how to solve with it.
Find the average rate of change of the function over the given intervals.
h(t) = cot t
a.
4 4
7n 3n
b.
6'2
Ay (*2) -(x1).
er,
a. The average rate of change of y = f(x) with respect to x over the interval [x, x, 1 is -
X2 -X,
- cot
cot
Ay
4
For the function h(t) = cot t and interval
%3D
At
4
Simplify the numerator.
Ay
-2
%3D
At
4
4.
Press Continue to see more.
wer in the
Print
Continue
Close
Help me Oive inis
Get More Heip -
Clear Al
Check Ans
25
000
22
F3
F4
DI
F5
F6
F7
F8
F9
F10
24
5
6
7
8.
R
Transcribed Image Text:Find the average rate of change of the function over the given intervals. h(t) = cot t a. 4 4 7n 3n b. 6'2 Ay (*2) -(x1). er, a. The average rate of change of y = f(x) with respect to x over the interval [x, x, 1 is - X2 -X, - cot cot Ay 4 For the function h(t) = cot t and interval %3D At 4 Simplify the numerator. Ay -2 %3D At 4 4. Press Continue to see more. wer in the Print Continue Close Help me Oive inis Get More Heip - Clear Al Check Ans 25 000 22 F3 F4 DI F5 F6 F7 F8 F9 F10 24 5 6 7 8. R
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