Question The tortoise versus the hare: The speed of the hare is given by the function H(t) = sin(t) and the speed of the tortoise is T(t) = cos(t), where t is time measured in hours and the speed is measured in miles per hour. Find the area between the curves from time t = 0 to the first time after one hour when the tortoise and hare are traveling at the same speed. Round your answer to three decimal places and do not include units. Provide your answer below:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.5: Differentials: Linear Approximation
Problem 11E
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functions as a function of y. This Refresher will help you grasp some prerequisite material.
Question
The tortoise versus the hare: The speed of the hare is given by the function H(t) = sin(t) and the speed of the tortoise is
T(t) = cos(t), where t is time measured in hours and the speed is measured in miles per hour. Find the area between the
curves from time t = 0 to the first time after one hour when the tortoise and hare are traveling at the same speed.
Round your answer to three decimal places and do not include units.
Provide your answer below:
10
7
4
1
O
8
5
2
4
9
6
3
3
4
÷
X
'
+
X
X
<
%
y
E
>
O
To
±
:
XI
$
C
E
Transcribed Image Text:functions as a function of y. This Refresher will help you grasp some prerequisite material. Question The tortoise versus the hare: The speed of the hare is given by the function H(t) = sin(t) and the speed of the tortoise is T(t) = cos(t), where t is time measured in hours and the speed is measured in miles per hour. Find the area between the curves from time t = 0 to the first time after one hour when the tortoise and hare are traveling at the same speed. Round your answer to three decimal places and do not include units. Provide your answer below: 10 7 4 1 O 8 5 2 4 9 6 3 3 4 ÷ X ' + X X < % y E > O To ± : XI $ C E
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