AS Associate Of Science In Mathematics 3

Question 1

What is the slope of a line that passes through the points (2, 3) and (6, 11)?

Accepted Answer

2

Answer

Slope = (y₂ − y₁) / (x₂ − x₁) = (11 − 3) / (6 − 2) = 8 / 4 = 2.

Question 2

What is the name of the theorem that allows us to evaluate definite integrals using antiderivatives?

Accepted Answer

Fundamental Theorem of Calculus

Answer

The Fundamental Theorem of Calculus connects differentiation and integration, stating that a definite integral can be computed using an antiderivative evaluated at the endpoints.

Question 3

What is 5! (5 factorial)?

Accepted Answer

120

Answer

5! = 5 × 4 × 3 × 2 × 1 = 120.

Question 4

Which of the following is a geometric sequence?

Accepted Answer

2, 6, 18, 54, 162

Answer

In a geometric sequence, each term is multiplied by a constant ratio; 2, 6, 18, 54, 162 has a constant ratio of 3.

Question 5

What is the degree of the polynomial f(x) = 4x⁵ − 3x³ + 7x − 2?

Accepted Answer

5

Answer

The degree of a polynomial is the highest exponent of the variable; in this case, the highest power is 5.

AS - Associate In Science Degrees Practice Test

AS - Associate In Science Degrees Practice Test

AS Associate Of Science In Mathematics 3