Solve the problem.If the Hamilton Method is used to apportion legislative seats to three states with the populations given in the table, then the Alabama Paradox occurs when the number of seats being apportioned increases from 150 to 151.
In which state does the paradox show up?
A. b
B. c
C. a
Answer: C
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Find the general solution of the equation.y'(t) - = -17
A. y = C
B. y = Ce20x +
C. y = Cex/20 + 340
D. y = Cex/20 - 340ex
Solve the problem.A spring has a natural length of . A force of
stretches the spring to 32 in. How far beyond its natural length will a
force stretch the spring?
A. 5 in. B. 4 in. C. 40 in. D. 2.5 in.
Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(2) = 9, u '(2) = 3, v(2) = -1, v '(2) = -4. (3v - u) at x = 2
A. -15 B. -9 C. 6 D. -12
For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value r(t) = (5 tan t)i - (9 sin t)j + (8 cos2 t)k ; t0 =
A. x = 10 + 5t, y = - -
t, z= -8 + 4t
B. x = 5 + 10t, y = - -
t, z = 8 - 8t
C. x = 5 + 10t, y = - +
t, z = 4 + 8t
D. x = 5 + 10t, y = - -
t, z = 4 - 8t