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9. Figure shows a container for water, ABCDEF, in the shape of a triangular prism. The cross- section AFE and BCD are equilateral triangles. The rectangle CDEF is horizontal and the triangles AFE and BCD are vertical BC-6m and DE 16m. Water is poured into the container at a constant rate. At time / minutes the volume of water in the container is Fm' and the E height of the surface of the water above AB is h metres. 16h? 10 (a) Show that I Given that the water is being poured into the container at a raic of 3 m/min. (b) Find the rate, to 2 significant figures, at which h is increasing with respect to t when h-1.5. 6m (c) Find an approximate value for the change in volume, in m' to 2 significant figures, as h increases from 2.1 to 2.12. d) Find an approximate value for the percentage increase in volume as h increases by 1.6%.

9. Figure shows a container for water, ABCDEF, in the shape of a triangular prism. The cross- section AFE and BCD are equilateral triangles. The rectangle CDEF is horizontal and the triangles AFE and BCD are vertical BC-6m and DE 16m. Water is poured into the container at a constant rate. At time / minutes the volume of water in the container is Fm' and the E height of the surface of the water above AB is h metres. 16h? 10 (a) Show that I Given that the water is being poured into the container at a raic of 3 m/min. (b) Find the rate, to 2 significant figures, at which h is increasing with respect to t when h-1.5. 6m (c) Find an approximate value for the change in volume, in m' to 2 significant figures, as h increases from 2.1 to 2.12. d) Find an approximate value for the percentage increase in volume as h increases by 1.6%.

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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9. Figure shows a container for water, ABCDEF, in the shape of a triangular prism. The cross- section AFE and BCD are equilateral triangles. The rectangle CDEF is horizontal and the triangles AFE and BCD are vertical BC-6m and DE 16m. 10 Water is poured into the container at a constant rate. At time / minutes the volume of water in the container is Fm' and the E height of the surface of the water above AB is h metres. (a) Show that Given that the water is being poured into the container at a raic of 3 m/min. (b) Find the rate, to 2 significant figures, at which h is increasing with respect to t when h= 1.5. 16h2 6m (c) Find an approximate value for the change in volume, in m' to 2 significant figures, as h increases from 2.1 to 2.12. d) Find an approximate value for the percentage increase in volume as h increases by 1.6%.
Transcribed Image Text:9. Figure shows a container for water, ABCDEF, in the shape of a triangular prism. The cross- section AFE and BCD are equilateral triangles. The rectangle CDEF is horizontal and the triangles AFE and BCD are vertical BC-6m and DE 16m. 10 Water is poured into the container at a constant rate. At time / minutes the volume of water in the container is Fm' and the E height of the surface of the water above AB is h metres. (a) Show that Given that the water is being poured into the container at a raic of 3 m/min. (b) Find the rate, to 2 significant figures, at which h is increasing with respect to t when h= 1.5. 16h2 6m (c) Find an approximate value for the change in volume, in m' to 2 significant figures, as h increases from 2.1 to 2.12. d) Find an approximate value for the percentage increase in volume as h increases by 1.6%.
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