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 does the Fundamental Theorem of Calculus state?
Answer: Differentiation and integration are inverse operations
The Fundamental Theorem of Calculus establishes that differentiation and integration are inverse processes.
In which number base does 101 + 11 = 1000?
Answer: Base 2
In binary (base 2): 101₂ = 5 and 11₂ = 3; 5+3=8 = 1000₂.
Which of the following correctly describes a geometric sequence?
Answer: Each term is found by multiplying the previous term by a constant ratio
A geometric sequence is defined by a constant ratio between consecutive terms.
What is the matrix product of [[1,2],[3,4]] × [[0,1],[1,0]]?
Answer: [[2,1],[4,3]]
Row 1: [1·0+2·1, 1·1+2·0]=[2,1]; Row 2: [3·0+4·1, 3·1+4·0]=[4,3].
If the standard deviation of a data set is 0, what does this tell you?
Answer: All values in the data set are identical
A standard deviation of 0 means there is no spread, so every data point equals the mean.
What is the contrapositive of the statement 'If it rains, then the ground is wet'?
Answer: If the ground is not wet, then it does not rain
The contrapositive of 'If P then Q' is 'If not Q then not P', which is logically equivalent.
Which conic section is represented by x²/16 + y²/9 = 1?
Answer: Ellipse
The equation x²/a² + y²/b² = 1 with a ≠ b represents an ellipse.