Find the nth, or general, term.
,
,
, . . .
A. + 4(n - 1)
B. n-1+
C. (4)n-1
D. +
(n - 1)
Answer: C
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Solve the problem.A model that describes the free fall of an object in a gravitational field subject to air resistance uses the equation where v(t) is the velocity of the object, for
is the acceleration due to gravity, and
is a constant that involve the mass of the object and the air resistance. Let
src="https://sciemce.com/media/4/ppg__tttt0613190828__f1q57g5.jpg" alt="" style="vertical-align: -4.0px;" /> For what initial values are solutions increasing? decreasing? What is the equilibrium solution?
A. increasing for A > 24.5 and decreasing for A < 24.5; v(t) = 24.5
B. increasing for A > 24.5 and decreasing for A < 24.5; v(t) = 0
C. increasing for A < 24.5 and decreasing for A > 24.5; v(t) = 24.5
D. increasing for A < 24.5 and decreasing for A > 24.5; v(t) = 0
Solve the equation. =
A. {,
}
B. {- , -
}
C. {, -
}
D. ?
Solve the problem.Use Ohm's Law, I = , to find the current I, given voltage
and impedance
A. 15(cos 80° + i sin 80°) B. 1575(cos 180° + i sin 180°) C. 15(cos 26.0° + i sin 26.0°) D. 98(cos 80° + i sin 80°)
Complete the table for the function and find the indicated limit.
A. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 0.1 B. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 1 C. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = -1 D. -0.0150, -0.0100, -0.0050, 0.0050, 0.0100, 0.0150 limit = 0