Advanced Math Quiz

What is the derivative of f(x) = 3x^2 + 2x - 5?

• 6x + 2

• 3x^2 - 2x - 5

• 3x^2 + 2x + 5

• 6x - 2

Solve the system of linear equations: 2x + 3y = 7 4x - 2y = 10

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What is the probability of rolling a 6 on a fair six-sided die?

• 1/3

• 1/6

• 1/4

• 1/2

Find the prime factorization of 72.

• 2 x 2 x 2 x 2 x 3

• 2 x 2 x 3 x 3 x 3

• 2 x 2 x 2 x 2 x 2

• 2 x 2 x 2 x 3 x 3

Solve the differential equation: y'' - 4y' + 4y = 0

• y = c1e^(2x) + c2e^(2x)

• y = c1e^(-2x) + c2e^(-2x)

• y = c1e^(2x) + c2e^(-2x)

• y = c1e^(2x) + c2xe^(2x)

Evaluate the integral: ∫(3x^2 + 2x + 1) dx

• (1/3) * x^3 + (1/2) * x^2 + x + C

• (1/3) * x^3 + (1/2) * x + C

• 3x^3 + 2x^2 + x + C

• 3x^2 + 2x + C

Find the eigenvalues of the matrix: [3 1] [2 4]

• The eigenvalues of the matrix are 5 and 2.

• The eigenvalues of the matrix are 3 and 4.

• The eigenvalues of the matrix are 6 and 8.

• The eigenvalues of the matrix are 1 and 2.

What is the probability of drawing a red card from a standard deck of 52 playing cards?

• 1/2

• 1/4

• 1/3

• 3/4

Find the GCD of 36 and 48.

• 6

• 12

• 18

• 24

Solve the differential equation: y' + 2y = 5e^(-x)

• y = (5x + C)e^(2x)

• y = (5x + C)e^(-2x)

• y = (5x + C)e^(-3x)

• y = (5x + C)e^(-x)