7. On Planet Math, Veronica is skipping. The height of her feet while skipping, can be modelled by the equation y(x) = sin²x + 2sinx + 1, where y is the height of Veronica's feet above from the ground in centimetres, and x is the time of the number of seconds that have passed since Veronica started jumping. a) How many times does Veronica's feet hit the ground in the first 25 seconds? b) How many centimetres is Veronica off the ground after 3 seconds?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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7. On Planet Math, Veronica is skipping. The height of her feet while skipping, can be modelled by the equation
y(x) = sin²x + 2sinx + 1, where y is the height of Veronica's feet above from the ground in centimetres, and x
is the time of the number of seconds that have passed since Veronica started jumping.
a) How many times does Veronica's feet hit the ground in the first 25 seconds?
b) How many centimetres is Veronica off the ground after 3 seconds?
Transcribed Image Text:7. On Planet Math, Veronica is skipping. The height of her feet while skipping, can be modelled by the equation y(x) = sin²x + 2sinx + 1, where y is the height of Veronica's feet above from the ground in centimetres, and x is the time of the number of seconds that have passed since Veronica started jumping. a) How many times does Veronica's feet hit the ground in the first 25 seconds? b) How many centimetres is Veronica off the ground after 3 seconds?
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