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.



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Mathematics

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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

Mathematics

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: 

Mathematics

Find the limit, if it exists. 3

A. Does not exist B. 1000 C. 1331 D. ?

Mathematics

Which of the points A(6, 7) or B(5, 8) is closer to the origin?

What will be an ideal response?

Mathematics