The quantity of a substance can be modeled by the function A(t)A(t) that satisfies the differential equation \frac{dA}{dt}=-\frac{1}{80}(A-400). dt
dA
​
=−
80
1
​
(A−400). One point on this function is A(1)=720.A(1)=720. Based on this model, use a linear approximation to the graph of AA at t=1t=1 to estimate the quantity of the substance at t=0.8.t=0.8.

Explanation is in the file

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find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

answer: sine

step-by-step explanation: