A fun ride for children follows the curve with equation Vi in x + 2 +2, 0 sxs 24, where y is the height from the y = ground in metres and x is the horizontal distance travelled. Express 2 sin x |+ J2 cos x in the form r cos a X- b What is the maximum height of the fun ride? Sketch the graph of the curve y = 2 sin x|+ v2 cos + 2, Osxs 24.

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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A fun ride for children follows the curve with equation
y = 2 sin
12
nx+ v2 cos x
+2, 0 <xs 24, where y is the height from the
12
ground in metres and x is the horizontal distance travelled.
Express 2 sin
+ v2 cos
12
a
in the form r cos
X- a
12
12
b
What is the maximum height of the fun ride?
Sketch the graph of the curve y = 2 sin + 2 cos
x +2,
с
12
12
0<x< 24.
d
By solving an equation, find the values of x where the height of the fun ride is
3 m.
Transcribed Image Text:A fun ride for children follows the curve with equation y = 2 sin 12 nx+ v2 cos x +2, 0 <xs 24, where y is the height from the 12 ground in metres and x is the horizontal distance travelled. Express 2 sin + v2 cos 12 a in the form r cos X- a 12 12 b What is the maximum height of the fun ride? Sketch the graph of the curve y = 2 sin + 2 cos x +2, с 12 12 0<x< 24. d By solving an equation, find the values of x where the height of the fun ride is 3 m.
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