SOA - Exam P UPDATED ACTUAL Exam
Questions and CORRECT Answers
Chapter 0
Topics mentioned in Chapter 0 that these flash cards do not cover: - CORRECT
ANSWER - - graphing inequalities
- piecewise functions
- one to one functions
- limits and continuity
- basic rules of differentiation
- basic integration
- method of substitution
Chapter 0
For any two sets A and B, (A∩B)∪(A∩B') = - CORRECT ANSWER -A
Chapter 0
Two sets A and B are disjoint if A∩B = - CORRECT ANSWER -∅
Chapter 0
n(S) is defined to be - CORRECT ANSWER - the number of elements in a set
Chapter 0
n(A∩B) + n(A∩B') = - CORRECT ANSWER - n(A)
Chapter 0
In order to account for double counting, n(A∪B) = - CORRECT ANSWER - n(A) + n(B) -
n(A∩B)
,Chapter 0
In order to account for double counting in three sets, n(A∪B∪C) = - CORRECT
ANSWER - n(A) + n(B) + n(C) - n(A∩B) - n(A∩C) - n(B∩C) + n(A∩B∩C)
(how does this work for a number of sets greater than three?)
Chapter 0
The inverse of a function ƒ(x) = y is - CORRECT ANSWER - the function solved for x in
terms of y, such that if ƒ(x₀) = y₀, ƒ⁻¹(y₀) = x₀
Chapter 0
A quadratic function of the form ax² + bx + c = 0 can be solved with the quadratic equation: -
CORRECT ANSWER - [-b ± √(b² - 4ac)] / 2a
Chapter 0
y = b^x ↔ log.b(y) = - CORRECT ANSWER -x
Chapter 0
The natural logarithm is - CORRECT ANSWER - log.e(y) = ln(y)
Chapter 0
Important properties of logarithms: - CORRECT ANSWER - ...
Chapter 0
Partial differentiation with respect to x is found by - CORRECT ANSWER -
differentiating with respect to x and regarding y as a constant, then substituting in x₀ and y₀
Chapter 0
, Antiderivatives of frequently used functions: - CORRECT ANSWER - (for individual
flash cards, see other deck)
Chapter 0
Useful integration rules: - CORRECT ANSWER - (for individual flash cards, see other
deck)
Chapter 0
Integration by parts: - CORRECT ANSWER - ∫ v × du = v × u - ∫ dv × u
Chapter 0
∫ e^(ax) = - CORRECT ANSWER - [axe^(ax) - e^(ax)] / a^2
Chapter 0
∫ xe^(ax) = - CORRECT ANSWER - xe^(ax) / a - e^(ax) / a^2
Chapter 0
Geometric progression : a, ar, ar², ar³, ...
Sum of first n terms: - CORRECT ANSWER - a + ar + ar² + ... + arⁿ⁻¹ = a[1 + r + r² + ... +
rⁿ⁻¹] = a × (rⁿ-1)/(r-1) = a × (1- rⁿ)/(1-r)
Chapter 0
∫ xⁿe^(-cx) = - CORRECT ANSWER - n!/c^(n+1)
Chapter 0
Infinite sum of geometric series: - CORRECT ANSWER - a/(1-r)
Chapter 0
Questions and CORRECT Answers
Chapter 0
Topics mentioned in Chapter 0 that these flash cards do not cover: - CORRECT
ANSWER - - graphing inequalities
- piecewise functions
- one to one functions
- limits and continuity
- basic rules of differentiation
- basic integration
- method of substitution
Chapter 0
For any two sets A and B, (A∩B)∪(A∩B') = - CORRECT ANSWER -A
Chapter 0
Two sets A and B are disjoint if A∩B = - CORRECT ANSWER -∅
Chapter 0
n(S) is defined to be - CORRECT ANSWER - the number of elements in a set
Chapter 0
n(A∩B) + n(A∩B') = - CORRECT ANSWER - n(A)
Chapter 0
In order to account for double counting, n(A∪B) = - CORRECT ANSWER - n(A) + n(B) -
n(A∩B)
,Chapter 0
In order to account for double counting in three sets, n(A∪B∪C) = - CORRECT
ANSWER - n(A) + n(B) + n(C) - n(A∩B) - n(A∩C) - n(B∩C) + n(A∩B∩C)
(how does this work for a number of sets greater than three?)
Chapter 0
The inverse of a function ƒ(x) = y is - CORRECT ANSWER - the function solved for x in
terms of y, such that if ƒ(x₀) = y₀, ƒ⁻¹(y₀) = x₀
Chapter 0
A quadratic function of the form ax² + bx + c = 0 can be solved with the quadratic equation: -
CORRECT ANSWER - [-b ± √(b² - 4ac)] / 2a
Chapter 0
y = b^x ↔ log.b(y) = - CORRECT ANSWER -x
Chapter 0
The natural logarithm is - CORRECT ANSWER - log.e(y) = ln(y)
Chapter 0
Important properties of logarithms: - CORRECT ANSWER - ...
Chapter 0
Partial differentiation with respect to x is found by - CORRECT ANSWER -
differentiating with respect to x and regarding y as a constant, then substituting in x₀ and y₀
Chapter 0
, Antiderivatives of frequently used functions: - CORRECT ANSWER - (for individual
flash cards, see other deck)
Chapter 0
Useful integration rules: - CORRECT ANSWER - (for individual flash cards, see other
deck)
Chapter 0
Integration by parts: - CORRECT ANSWER - ∫ v × du = v × u - ∫ dv × u
Chapter 0
∫ e^(ax) = - CORRECT ANSWER - [axe^(ax) - e^(ax)] / a^2
Chapter 0
∫ xe^(ax) = - CORRECT ANSWER - xe^(ax) / a - e^(ax) / a^2
Chapter 0
Geometric progression : a, ar, ar², ar³, ...
Sum of first n terms: - CORRECT ANSWER - a + ar + ar² + ... + arⁿ⁻¹ = a[1 + r + r² + ... +
rⁿ⁻¹] = a × (rⁿ-1)/(r-1) = a × (1- rⁿ)/(1-r)
Chapter 0
∫ xⁿe^(-cx) = - CORRECT ANSWER - n!/c^(n+1)
Chapter 0
Infinite sum of geometric series: - CORRECT ANSWER - a/(1-r)
Chapter 0
