Write the terms for the partial fraction decomposition of the rational function. Do not solve for the constants.
A. +
+
+
+
B. +
+
C. +
+
+
+
D. +
+
+
+
Answer: D
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Given the interval (a, b) on the x-axis with the point x0 inside, find the greatest value for ? > 0 such that for all x, 0 < < ? ? a < x < b. a =
, b =
, x0 =
A. ? =
B. ? =
C. ? =
D. ? = 3
Solve the problem by integration.Find the x-coordinate of the centroid of the first-quadrant area bounded by
and
A. -1.442 B. -2.884 C. 0.685 D. 1.369
Solve the problem.A ball is thrown vertically upward with an initial velocity of 160 feet per second. The distance in feet of the ball from the ground after t seconds is For what intervals of time is the ball less than 256 above the ground (after it is tossed until it returns to the ground)?
A. {x ? 2 sec < x < 8 sec} B. {x ? 0 sec < x < 2 sec and 8 sec > x > 10 sec} C. {x ? 0 sec < x < 4.5 sec and 5.5 sec > x > 10 sec} D. {x ? 0 sec < x < 1.5 sec and 8.5 sec > x > 10 sec}
Solve the problem.A certain radioactive isotope decays at a rate of 0.275% annually. Determine the half-life of this isotope, to the nearest year.
A. 252 yr B. 109 yr C. 182 yr D. 3 yr