WGU D126 - MATH 1112 Mathematics for Elementary Educators II - Comprehensive OA Guide 2024
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Course
Education
Institution
Western Governers University
WGU D126 - MATH 1112 Mathematics for Elementary Educators II - Comprehensive OA Guide 2024WGU D126 - MATH 1112 Mathematics for Elementary Educators II - Comprehensive OA Guide 2024WGU D126 - MATH 1112 Mathematics for Elementary Educators II - Comprehensive OA Guide 2024
, What is the value of the limit lim(x->2) (3x^2 - 8x + 4)?
A) 4
B) 8
C) 12
D) 16
Correct Answer: A) 4
Rationale: By substituting x=2 into the expression, we get 3(2)^2 - 8(2) + 4
= 4.
Fill-in-the-Blank:
The derivative of f(x) = 2x^3 - 6x^2 + 5x - 9 is f'(x) = __.
Correct Answer: f'(x) = 6x^2 - 12x + 5
Rationale: The derivative of x^n is nx^(n-1), so the derivative of the given
function is calculated accordingly.
True/False:
The equation x^2 + 4x - 5 = 0 has real roots.
A) True
B) False
, Correct Answer: A) True
Rationale: The discriminant b^2 - 4ac = 4^2 - 4(1)(-5) = 36, which is
positive, indicating real roots.
Multiple Response:
Which of the following are solutions to the inequality 2x + 3 2
C) x 4
Correct Answer: A) x < 2, C) x < 4
Rationale: By solving the inequality, we get x < 2 and x < 4 as the valid
solutions.
Multiple Choice:
What is the value of the integral ∫(2x + 3)dx?
A) x^2 + 3x + C
B) x^2 + 3x^2 + C
C) x^2 + 3x^2/2 + C
D) x^2 + 3 + C
Correct Answer: A) x^2 + 3x + C
Rationale: The integral of 2x is x^2 and the integral of 3 is 3x. Adding the
constant of integration C gives the result.
Fill-in-the-Blank:
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