EA 8. (seconds) 0 36 9 12 p(t) (feet) 3 5.5 7 13 17 The position of a particle, A, moving along the x-axis is modeled by a twice-differentiable function P, where time t is measured in seconds and p (t) is measured in feet. Selected values of p (t) are shown in the table above. (g) The velocity of a second particle, Q, can be modeled by a twice-differentiable function 9. It is known that g (2) = -6, g (2) = 4, and g" (2) = -3, Is the speed of particle Q increasing or decreasing at time t = 2? Give a reason for your answer. %3D dy (h) Let y = f (x) be the particular solution to the differential equation = 4x'y' with initial condition f (;) = -2, Write an equation for the line tangent to the graph of f at the point (;,-2). dr |

Question

See attached these are practice problems

EA
8.
(seconds)
0 36 9 12
p(t)
(feet)
3 5.5 7 13 17
The position of a particle, A, moving along the x-axis is modeled by a twice-differentiable function P,
where time t is measured in seconds and p (t) is measured in feet. Selected values of p (t) are shown in
the table above.
(g) The velocity of a second particle, Q, can be modeled by a twice-differentiable function 9. It is
known that g (2) = -6, g (2) = 4, and g" (2) = -3, Is the speed of particle Q increasing or
decreasing at time t = 2? Give a reason for your answer.
%3D
dy
(h) Let y = f (x) be the particular solution to the differential equation = 4x'y' with initial
condition f (;) = -2, Write an equation for the line tangent to the graph of f at the point (;,-2).
dr
|
Expand
Transcribed Image Text

EA 8. (seconds) 0 36 9 12 p(t) (feet) 3 5.5 7 13 17 The position of a particle, A, moving along the x-axis is modeled by a twice-differentiable function P, where time t is measured in seconds and p (t) is measured in feet. Selected values of p (t) are shown in the table above. (g) The velocity of a second particle, Q, can be modeled by a twice-differentiable function 9. It is known that g (2) = -6, g (2) = 4, and g" (2) = -3, Is the speed of particle Q increasing or decreasing at time t = 2? Give a reason for your answer. %3D dy (h) Let y = f (x) be the particular solution to the differential equation = 4x'y' with initial condition f (;) = -2, Write an equation for the line tangent to the graph of f at the point (;,-2). dr |

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