Mathematics, 04.10.2019 21:30 microwave13016
Find the area between y=4sinx and y=10cosx over the interval [0,π]. sketch the curves if necessary.
Answers: 1
for all ![x\in[0,\pi]](/tpl/images/0287/0972/d44b2.png)
, while 
for 
and 
for 
. So you already know that 
over the second half of the interval.
is an increasing function, from 
to 
. Meanwhile 
is a decreasing function, from 
to 
. Therefore there must be a point between 0 and 
where the two curves intersect. So we find it:
in 
, and ![\left(\arctan\dfrac52,\pi\right]](/tpl/images/0287/0972/0c243.png)
.
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Find the area between y=4sinx and y=10cosx over the interval [0,π]. sketch the curves if necessary....
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