A bag of marbles contains 9 yellow marbles, 6 white marbles, 3 blue marbles, and 7 red marbles. A marble is picked at random and replaced. This is done a total of three times. What is the probability of picking a red marble, a white marble, and a blue marble?
A.
B.
C.
D.
E.
Answer: D
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Use the method of undetermined coefficients to solve the differential equation. + y = 9x + cos 2x;
= 0 and y = 9? when x = ?
A. y = -9 sin x - cos x + 9x -
cos 2x
B. y = 9 sin x + cos x + 9x -
cos 2x
C. y = 9 sin x - cos x + 9x -
sin 2x
D. y = 9 sin x - cos x + 9x -
cos 2x
Find all the first order partial derivatives for the following function.f(x, y, z) = x2y + y2z + xz2
A. = 2xy;
= x2 + 2yz;
= y2 + 2xz
B. = 2xy + z2;
= x2 + yz;
= y2 + xz
C. = 2y + z2;
= x2 + 2z;
= y2 + 2x
D. = 2xy + z2;
= x2 + 2yz;
= y2 + 2xz
Use similar triangles and the fact that corresponding sides are proportional to find the length of the side marked with an x.
A. 9 m B. 4 m C. 6 m D. 3 m
Use a scientific calculator to approximate the common logarithm. Round to four decimal places.log 2507
A. 3.4009 B. 3.3974 C. 3.3992 D. 7.8268