Expand using the binomial theorem.(x + 3y)5
A. x5 + 15x4y + 90x3y2 + 270x2y3 + 405xy4 + 243y5
B. x5 + 15x4y + 90x3y2 + 270x2y3 + 405xy4 + 243
C. x5 + 15x4y + 180x3y2 + 540x2y3 + 405xy4 + 3y5
D. x5 + 15x4y + 180x3y2 + 540x2y3 + 405xy4 + 243y5
Answer: A
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A. t =
B. t =
C. t =
D. t =
Find the quotient and the remainder.3x2 + 10x - 8 divided by x + 4
A. 3x + 2; remainder 0 B. 3x - 2; remainder 7 C. x - 2; remainder 0 D. 3x - 2; remainder 0
Solve the trigonometric equation symbolically, graphically, or numerically for = 0
A. ? = 45°, 135°, 225°, 315° B. ? = 30°, 150° C. ? = 60°, 120°, 240°, 300° D. ? = 30°, 150°, 210°, 330°
Experiments conducted by A. J. Clark suggest that the response R(x) of a frog's heart muscle to the injection of x units of acetylcholine (as a percent of the maximum possible effect of the drug) may be approximated by the rational function
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where b is a positive constant that depends on the particular frog. If a concentration of 50 units of acetylcholine produces a response of 40% for a certain frog, find the "response function" for this frog.
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A.
B.
C.
D.
E.