6 Unless otherwise specified, the domain of a function f is assumed to be the sel of which f (x) is a real number. Consider the differential equation = 10 -- 2y. Let y = f (x) be the particular solution to the differential equation with the initial condition f (0) = 2. XP (a) Write an equation for the line tangent to the graph of y = f (x) at z = 0. Use the tangent line to approximate f (0.5). (b) Find the value of at the point (0, 2). Is the graph of y = f (x) concave up or concave down at the point (0, 2) ? Give a reason for your answer. (c) Find y = f (x), the particular solution to the differential equation with the initial condition f (0) = 2. (d) For the particular solution y = f (x) found in part (c), find im f (a). ど48

Question

6d is the one I need thanks

6 Unless otherwise specified, the domain of a function f is assumed to be the sel of
which f (x) is a real number.
Consider the differential equation = 10 -- 2y. Let y = f (x) be the particular solution to the
differential equation with the initial condition f (0) = 2.
XP
(a) Write an equation for the line tangent to the graph of y = f (x) at z = 0. Use the tangent line to
approximate f (0.5).
(b) Find the value of at the point (0, 2). Is the graph of y = f (x) concave up or concave down at
the point (0, 2) ? Give a reason for your answer.
(c) Find y = f (x), the particular solution to the differential equation with the initial condition
f (0) = 2.
(d) For the particular solution y = f (x) found in part (c), find im f (a).
ど48
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Transcribed Image Text

6 Unless otherwise specified, the domain of a function f is assumed to be the sel of which f (x) is a real number. Consider the differential equation = 10 -- 2y. Let y = f (x) be the particular solution to the differential equation with the initial condition f (0) = 2. XP (a) Write an equation for the line tangent to the graph of y = f (x) at z = 0. Use the tangent line to approximate f (0.5). (b) Find the value of at the point (0, 2). Is the graph of y = f (x) concave up or concave down at the point (0, 2) ? Give a reason for your answer. (c) Find y = f (x), the particular solution to the differential equation with the initial condition f (0) = 2. (d) For the particular solution y = f (x) found in part (c), find im f (a). ど48

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