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(b) Find the co-ordinates of the turning points of the following function: y = 3x4 - 16x³ + 24x² - 12 Identify them as maxima, minima or point of inflexion. (c) A rectangular box with a lid has a volume of 60 mm². The length of the box is three times the height, as shown in Figure 1.1. Find the dimensions of the box so that the surface area is minimum. 3 h h

(b) Find the co-ordinates of the turning points of the following function: y = 3x4 - 16x³ + 24x² - 12 Identify them as maxima, minima or point of inflexion. (c) A rectangular box with a lid has a volume of 60 mm². The length of the box is three times the height, as shown in Figure 1.1. Find the dimensions of the box so that the surface area is minimum. 3 h h

Calculus: Early Transcendentals
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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(b) Find the co-ordinates of the turning points of the following function: y = 3x4 - 16x³ + 24x² - 12 Identify them as maxima, minima or point of inflexion. (c) A rectangular box with a lid has a volume of 60 mm². The length of the box is three times the height, as shown in Figure 1.1. Find the dimensions of the box so that the surface area is minimum. 3 h Figure 1.1 h
Transcribed Image Text:(b) Find the co-ordinates of the turning points of the following function: y = 3x4 - 16x³ + 24x² - 12 Identify them as maxima, minima or point of inflexion. (c) A rectangular box with a lid has a volume of 60 mm². The length of the box is three times the height, as shown in Figure 1.1. Find the dimensions of the box so that the surface area is minimum. 3 h Figure 1.1 h
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