Challenging Math Concepts

What is the derivative of sin(x)?

• cos(x)

• sec(x)

• tan(x)

• sin^2(x)

Solve for x: 2x + 3 = 11.

• 4

• 2

• 3

• 5

What is the integral of 1/x dx?

• 1/2 x^2 + C

• ln|x| + C

• e^x + C

• x + C

If a triangle has sides of length 3, 4, and 5, is it a right triangle?

• Yes, it is a right triangle.

• Yes, it is an equilateral triangle.

• No, it is an obtuse triangle.

• No, it is a scalene triangle.

What is the value of the limit as x approaches 0 of (sin(x)/x)?

• 1

• 1/2

• -1

• 0

Calculate the determinant of the matrix [[1, 2], [3, 4]].

• 2

• -1

• -2

• 0

What is the quadratic formula?

• x = (b ± √(b² + 4ac)) / (2a)

• x = (-b ± 2√(b² - 4ac)) / a

• x = (b ± √(4ac - b²)) / (2b)

• x = (-b ± √(b² - 4ac)) / (2a)

If f(x) = x^2 - 4, what are the roots of the function?

• x = 0, x = 4

• x = 3, x = -3

• x = 2, x = -2

• x = 1, x = -1

What is the sum of the interior angles of a hexagon?

• 1080 degrees

• 540 degrees

• 360 degrees

• 720 degrees

Define a prime number and give an example.

• 5

• 4

• 6

• 9