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Mathematical Techniques Mastery Quiz

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1. What is the derivative of the function $f(x) = 3x^2 - 2x + 4$?

2. In a right-angled triangle, if one of the angles is $30^ ext{degrees}$, what is the ratio of the length of the side opposite to the $30^ ext{degrees}$ angle to the length of the hypotenuse?

3. If the integral of a function $f(x) = 2x$ is $F(x)$, what is $F(x)$?

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

5. The probability of event A or event B occurring, given that A and B are mutually exclusive, is represented by which of the following formulas?

6. What is the area of a circle with a radius of 4 units?

7. If two lines are perpendicular, their slopes are

8. What is the solution to the equation $3x - 5 = 10$?

9. The standard deviation is a measure of

10. If $f(x) = x^3 - x$, then $f'(x) =$