10 % Find the absolute minimum and ab- solute maximum of y = cos²t-cost on the Cos? 2T interval [0, . 3 đx 1- Sin?x 0 -(Sin x)(snx)

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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**Problem 10**: Find the absolute minimum and absolute maximum of \( y = \cos^2 t - \cos t \) on the interval \([0, \frac{2\pi}{3}]\).

**Derivative Work (Notes)**:

- \(\frac{d}{dx} (1 - \sin^2 x)\)
- Leads to \(0 - (\sin x)(\sin x) \ldots\) 

*[Some additional text is partially visible, related to derivative calculations.]*
Transcribed Image Text:**Problem 10**: Find the absolute minimum and absolute maximum of \( y = \cos^2 t - \cos t \) on the interval \([0, \frac{2\pi}{3}]\). **Derivative Work (Notes)**: - \(\frac{d}{dx} (1 - \sin^2 x)\) - Leads to \(0 - (\sin x)(\sin x) \ldots\) *[Some additional text is partially visible, related to derivative calculations.]*
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