1) State the formula for the arc length and give an example using that formula. 2) Find the length of the curve y = ½(9x² + 6) ²³ from x = 0 to x = 3 3) State the formula for the surface area and give an example using that formula. 4) Find the area of the surface generated by revolving the curve y = √2x - x², .25 ≤ x ≤ 1.5 about the x axis

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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1) State the formula for the arc length and give an example using that formula.
2) Find the length of the curve y =
½(9x² + 6) ²³ from x = 0 to x = 3
3) State the formula for the surface area and give an example using that formula.
4) Find the area of the surface generated by revolving the curve y = √2x - x², .25 ≤ x ≤ 1.5 about the x axis
Transcribed Image Text:1) State the formula for the arc length and give an example using that formula. 2) Find the length of the curve y = ½(9x² + 6) ²³ from x = 0 to x = 3 3) State the formula for the surface area and give an example using that formula. 4) Find the area of the surface generated by revolving the curve y = √2x - x², .25 ≤ x ≤ 1.5 about the x axis
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