Prof Math

Express z as a function of x and y if z is directly proportional to the product of x and y.

• z = c/xy

• z = 1/xy

• z = cxy

• z= xy

Evaluate dy / dx when x = 2 for y = 8x – x^3*

• 8

• -4

• 4

• 0

Point P (-3, -4) is on the terminal side of angle Θ. Find tan Θ

• 4/3

• -3/5

• 3/4

• -4/5

Find the area of the triangle with vertices: (-2, 0), (2, 3) and (5, 1)

• 12 ½

• 11

• 12

• 10 ½

Find the absolute maximum value of f(x) = x 2/3 on the interval (-2, 3)

• 3√9

• 1

• 0

• √9

He was a 16th century mathematician, who was the first to define that the probability of an event to happen is the quotient of the number of the favorable outcomes and the number of all outcomes. Who is he?

• Stephen Baldwin

• Blaise Pascal

• Girolamo Cardano

• Richard Dedekind

For mutually exclusive events A and B.

P (A U B) = P (A) + P (B)

• Addition Rule

• General Rule

• Subtraction Rule

• Multiplication Rule

What principle of counting should be applied when an ordered arrangement of distinct elements in a set is desired?

• Combination

• Permutation

• Probability

• Cumulative Distribution

Find the range of the function of y = 3x – 5

• y > 5

• all real numbers

• y < 3

• y is not equal to

The equation of a circle is given by x» + y» = 4, find set of points inside the circle

• {(x, y) x is not equal to y}

• {(x, y) x» + y» > 4}

• {(x, y) x» + y» < 4}

• {(x, y) x» + y» < 4}