Consider the differential equation
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with the side condition . The solution Q(t) describes restricted growth and has a graph known as the Gompertz curve. Using separation of variables, solve this differential equation.
What will be an ideal response?
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Solve the problem.The position of a particle moving along a coordinate line is s = , with s in meters and t in seconds. Find the particle's velocity at
A. m/sec
B. m/sec
C. 3 m/sec
D. - m/sec
Graph the equation. Include the coordinates of any local extreme points and inflection points.y = x + cos 2x, 0 ? x ? ?
A. local minimum:
local maximum:
inflection points: ,
B. local minimum: (1.444, -0.246)
local maximum: (0.126, 1.031)
inflection points: (0.785, 0.393), (2.356, 1.178)
C. local minimum:
local maximum:
inflection point:
D. no local extrema
inflection point:
Find the limit, if it exists.
3
A. Does not exist B. 1000 C. 1331 D. ?
Which of the points A(6, 7) or B(5, 8) is closer to the origin?
What will be an ideal response?