Calculus : The Classic Edition (with Make the Grade and Infotrac)
Calculus : The Classic Edition (with Make the Grade and Infotrac)
5th Edition
ISBN: 9780534435387
Author: Earl W. Swokowski
Publisher: Brooks/Cole
Question
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Chapter 3.1, Problem 22E

a.

To determine

To Calculate:Rate of change of Surface Area of spherical balloon with respect to radius at any radius ‘r’.

b.

To determine

To Calculate:Rate of change of Surface Area of spherical balloon with respect to radius when radius is 3 ft.

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The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = 1. Select all that apply: ☐ f(x) is not continuous at x = 1 because it is not defined at x = 1. ☐ f(x) is not continuous at x = 1 because lim f(x) does not exist. x+1 ☐ f(x) is not continuous at x = 1 because lim f(x) ‡ f(1). x+→1 ☐ f(x) is continuous at x = 1.
a is done please show b
A homeware company has been approached to manufacture a cake tin in the shape of a "ghost" from the Pac-Man video game to celebrate the 45th Anniversary of the games launch. The base of the cake tin has a characteristic dimension / and is illustrated in Figure 1 below, you should assume the top and bottom of the shape can be represented by semi-circles. The vertical sides of the cake tin have a height of h. As the company's resident mathematician, you need to find the values of r and h that minimise the internal surface area of the cake tin given that the volume of the tin is Vfixed- 2r Figure 1 - Plan view of the "ghost" cake tin base. (a) Show that the Volume (V) of the cake tin as a function of r and his 2(+1)²h V = 2
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