Find the equilibrium solution of the equation. Use a sketch of the direction field for
to determine whether the equilibrium is stable.y'(t) + 2u + 6 = 0
A. y = ; unstable
B. y = - ; stable
C. y = 3; stable
D. y = -3; unstable
Answer: C
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Find the acceleration of an object for which the displacement s (in m) is given as a function of the time t (in s) for the given value of t.s = 5t3 + 6t2 + 3t + 3, t = 3 s
A. 102 ft/s2 B. 57 ft/s2 C. 81 ft/s2 D. 174 ft/s2
Provide an appropriate response.The table shows the number of pupils per teacher in selected counties in a certain state. Which counties have a figure greater than 14.7?
A. Addison, Branson, Cumberland, Kendall B. Addison, Cumberland, Kendall C. Addison, Cumberland, Dixson, Kendall D. Addison, Branson, Cumberland
Determine whether the relation represents a function. If it is a function, state the domain and range.{(41, -3), (5, -2), (5, 0), (9, 2), (21, 4)}
A. function domain: {-3, -2, 0, 2, 4} range: {41, 9, 5, 21} B. function domain: {41, 9, 5, 21} range: {-3, -2, 0, 2, 4} C. not a function
Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.
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Fill in the blank(s) with the appropriate word(s).