Bachelor of Liberal Arts For Math Flashcards
7 cards from real B.L.A.; occasionally A.L.B. Bachelor of Liberal Arts practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Bachelor of Liberal Arts For Math flashcards as text
What is the derivative of f(x) = 3x⁴ - 2x² + 5x - 7?
Answer: 12x³ - 4x + 5
Using the power rule, the derivative is 12x³ - 4x + 5.
Which of the following is a prime number?
Answer: 97
97 is prime; 91 = 7×13, 87 = 3×29, and 77 = 7×11.
In a right triangle, if one leg is 5 and the hypotenuse is 13, what is the other leg?
Answer: 12
By the Pythagorean theorem: √(13² - 5²) = √(169 - 25) = √144 = 12.
What is the sum of the interior angles of a hexagon?
Answer: 720°
The sum of interior angles of an n-gon is (n-2)×180°; for n=6: 4×180° = 720°.
If log₂(x) = 5, what is x?
Answer: 32
log₂(x) = 5 means 2⁵ = x, so x = 32.
What is the median of the data set {3, 7, 9, 2, 5, 8, 1}?
Answer: 5
Ordered: {1, 2, 3, 5, 7, 8, 9}; the middle (4th) value is 5.
Which expression is equivalent to (x + 3)(x - 3)?
Answer: x² - 9
This is a difference of squares: (x + 3)(x - 3) = x² - 9.