The cross-section of a hill with a steep cliff face is modelled by the equation:where y is the height of the ground above sea level, measured in decametres (dam), and is the horizontal distance from the sea, also measured indecametres.The model applies for values of in the range 0.01 ≤ x ≤ 3.a)Find the formula that describes the gradient of the hill at any given horizontal distance from the sea.b)What is the gradient of the hill at a horizontal distance of:10 metres (1 dam) from the sea?.damy=-e +5ln (z) +6• 1 metre (0.1 dam) from the sea?damGive your answers to 2 decimal places when necessary.

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The cross-section of a hill with a steep cliff face is modelled by the equation: where y is the height of the ground above sea level, measured in decametres (dam), and a is the horizontal distance from the sea, also measured in decametres. The model applies for values of a in the range 0.01 ≤ z ≤ 3. a) Find the formula that describes the gradient of the hill at any given horizontal distance from the sea. #- b) What is the gradient of the hill at a horizontal distance of: . 10 metres (1 dam) from the sea? y=-e +5ln (z) +6 dam • 1 metre (0.1 dam) from the sea? dam Give your answers to 2 decimal places when necessary.

The cross-section of a hill with a steep cliff face is modelled by the equation: where y is the height of the ground above sea level, measured in decametres (dam), and a is the horizontal distance from the sea, also measured in decametres. The model applies for values of a in the range 0.01 ≤ z ≤ 3. a) Find the formula that describes the gradient of the hill at any given horizontal distance from the sea. #- b) What is the gradient of the hill at a horizontal distance of: . 10 metres (1 dam) from the sea? y=-e +5ln (z) +6 dam • 1 metre (0.1 dam) from the sea? dam Give your answers to 2 decimal places when necessary.

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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Question

The cross-section of a hill with a steep cliff face is modelled by the equation:
where y is the height of the ground above sea level, measured in decametres (dam), and is the horizontal distance from the sea, also measured in
decametres.
The model applies for values of in the range 0.01 ≤ x ≤ 3.
a)
Find the formula that describes the gradient of the hill at any given horizontal distance from the sea.
b)
What is the gradient of the hill at a horizontal distance of:
10 metres (1 dam) from the sea?
.
dam
y=-e +5ln (z) +6
• 1 metre (0.1 dam) from the sea?
dam
Give your answers to 2 decimal places when necessary.

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