1. A Ferris wheel with diameter 110 metres rotates at a constant speed. The lowest point on the wheel is 10 metres above the ground, as shown on the following diagram. P is a point on the wheel. The wheel starts moving with P at the lowest point and completes one revolution in 20 minutes. 110m The height, h metres, of P above the ground after t minutes is given by h(t) = a cos(bt) + c, where a, b, c e R. p 10m Find the values of a, b and c. [
1. A Ferris wheel with diameter 110 metres rotates at a constant speed. The lowest point on the wheel is 10 metres above the ground, as shown on the following diagram. P is a point on the wheel. The wheel starts moving with P at the lowest point and completes one revolution in 20 minutes. 110m The height, h metres, of P above the ground after t minutes is given by h(t) = a cos(bt) + c, where a, b, c e R. p 10m Find the values of a, b and c. [
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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Transcribed Image Text:1. A Ferris wheel with diameter 110 metres rotates at a constant speed.
The lowest point on the wheel is 10 metres above the ground, as
shown on the following diagram. P is a point on the wheel. The
wheel starts moving with P at the lowest point and completes one ↑
revolution in 20 minutes.
7.
110m
The height, h metres, of P above the ground after t minutes is
given by h(t) = a cos(bt) + c, where a, b, c E R.
%3D
me T10m
Find the values of a, b and c. [
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re maKims
2. Consider the graph of the function f (x) = 2 sin x,
0sx< 2n. The graph of f intersects the line y = -1
exactly twice, at point A and point B. This is shown in the
following diagram.
to sulev bni b
Consider the graph of g(x) = 2 sin px, 0 s x < 21, where
p> 0.
y =-1
Find the greatest value of p such that the graph of g does
not intersect the line y = -1.
AY
bai
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