(c) Find an expression for y = f(t) by solving the -0.02y² with the initial differential equation dt condition f(0) = 10.

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11:56
A apclassroom.collegeboard.org
B
I
x X2
Ω
0 / 10000 Word Limit
(c) Find an expression for y = f(t) by solving the
dy
differential equation
= -0.02y² with the initial
dt
condition f(0) = 10.
В
I
x? X2
Ω
0 / 10000 Word Limit
(d) Determine whether the amount of the substance is
changing at an increasing or a decreasing rate. Explain your
reasoning.
В I
x? X2
0 / 10000 Word Li
Submit
!!!
DI
II
Transcribed Image Text:11:56 A apclassroom.collegeboard.org B I x X2 Ω 0 / 10000 Word Limit (c) Find an expression for y = f(t) by solving the dy differential equation = -0.02y² with the initial dt condition f(0) = 10. В I x? X2 Ω 0 / 10000 Word Limit (d) Determine whether the amount of the substance is changing at an increasing or a decreasing rate. Explain your reasoning. В I x? X2 0 / 10000 Word Li Submit !!! DI II
11:56
AA
A apclassroom.collegeboard.org
5 of 6
<>
f(t) models
5. During a chemical reaction, the function y
the amount of a substance present, in grams, at time t
seconds. At the start of the reaction (t :
grams of the substance present. The function
dy
y = f(t) satisfies the differential equation
0), there are 10
-0.02y?.
dt
: 0 to
(a) Use the line tangent to the graph of y = f(t) at t
approximate the amount of the substance remaining at time
2 seconds.
t
В
I
x? X2
Ω
0 / 10000 Word Limit
(b) Using the given differential equation, determine whether
the graph of fcould resemble the following graph. Give a
reason for your answer.
Submit
II
II
Transcribed Image Text:11:56 AA A apclassroom.collegeboard.org 5 of 6 <> f(t) models 5. During a chemical reaction, the function y the amount of a substance present, in grams, at time t seconds. At the start of the reaction (t : grams of the substance present. The function dy y = f(t) satisfies the differential equation 0), there are 10 -0.02y?. dt : 0 to (a) Use the line tangent to the graph of y = f(t) at t approximate the amount of the substance remaining at time 2 seconds. t В I x? X2 Ω 0 / 10000 Word Limit (b) Using the given differential equation, determine whether the graph of fcould resemble the following graph. Give a reason for your answer. Submit II II
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