Which of the graphs shows the solution of the given initial value problem?
= -6x, y = -5 when x = -1
A. 
B. 
C. 
D. 
Answer: D
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Sketch the graph and show all local extrema and inflection points.y = -x4 + 4x2 - 5
A. Local minima: (-
, 1), (
, 1)
Local maximum: (0, 5)
Inflection point: 
, 
B. Local maxima: (-
, -1), (
, -1)
Inflection points: 
, 
C. Local maxima: (-
, -1), (
, -1)
Local minimum: (0, -5)
No inflection points
D. Local maxima: (-
, -1), (
, -1)
Local minimum: (0, -5)
Inflection points: 
, 
Find the gradient field F of the function f.f(x, y, z) = x6y7 + 
A. F = (6x5 + 5x4)i + 7y6j + 
k
B. F = 6x5y7i + 7x6y6j - 
k
C. F = (6x5 + 5x4)i + 7y6j - 
k
D. F = 
i + 7x6y6j - 
k
Use ex = 
, for -? < x < ?, to find the power series representation for the given function.f(x) = e3x
A. 
B. 
C. 
D. 
Solve the problem.A certain product has supply and demand functions given by p = 3q + 21 and p = 164 - 8q, respectively, where p is the price in dollars and q is the quantity supplied or demanded at price p. What price gives market equilibrium?
A. $60 B. $39 C. $18 D. $13