1. Determine the absolute extrema of f(x) = (cos x − 1) sinx on [0, π], if they exist, and identify the values of x at which they occur.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Determine the absolute extrema of
f(x) = (cos x − 1) sinx on [0, π],
if they exist, and identify the values of x at which they occur.
2. During the planning of a birthday party, is decided that the souvenir will be enclosed in a 817
cm³ glass right circular cylinder. The glass to be used for the circular bases (for the top and
bottom faces) costs P3 per cm² and the glass to be used for the sides costs P2 per cm². Find the
dimensions of the glass right circular cylinder that will minimize the cost of its construction.
Transcribed Image Text:1. Determine the absolute extrema of f(x) = (cos x − 1) sinx on [0, π], if they exist, and identify the values of x at which they occur. 2. During the planning of a birthday party, is decided that the souvenir will be enclosed in a 817 cm³ glass right circular cylinder. The glass to be used for the circular bases (for the top and bottom faces) costs P3 per cm² and the glass to be used for the sides costs P2 per cm². Find the dimensions of the glass right circular cylinder that will minimize the cost of its construction.
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clean solution, please, 

1. Determine the absolute extrema of
f(x) = (cos x − 1) sinx on [0, π],
if they exist, and identify the values of x at which they occur.
2. During the planning of a birthday party, is decided that the souvenir will be enclosed in a 817
cm³ glass right circular cylinder. The glass to be used for the circular bases (for the top and
bottom faces) costs P3 per cm² and the glass to be used for the sides costs P2 per cm². Find the
dimensions of the glass right circular cylinder that will minimize the cost of its construction.
Transcribed Image Text:1. Determine the absolute extrema of f(x) = (cos x − 1) sinx on [0, π], if they exist, and identify the values of x at which they occur. 2. During the planning of a birthday party, is decided that the souvenir will be enclosed in a 817 cm³ glass right circular cylinder. The glass to be used for the circular bases (for the top and bottom faces) costs P3 per cm² and the glass to be used for the sides costs P2 per cm². Find the dimensions of the glass right circular cylinder that will minimize the cost of its construction.
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