Solve the equation. Write complex solutions in standard form.x2 + x + 3 = 0
A. ± i
B. - ± i
C. 1 ± i
D. -1 ± i
Answer: B
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Graph the equation. Include the coordinates of any local extreme points and inflection points.y =
A. absolute maximum:
no inflection point
B. local minimum: (3, -1)
local maximum: (-3, 1)
inflection point: (0, 0)
C. local minimum:
local maximum:
inflection point: (0,0)
D. local minimum: (-3, -1)
local maximum: (3, 1)
inflection points: (0, 0), (-3, -
),
(3,
)
The figure below is a square ABCD with center O. (M, N, P, and Q are the midpoints of the sides.)
Which of the following reflections is not a symmetry of the square?
A. the reflection with axis the line passing through P and Q B. the reflection with axis the line passing through A and C C. the reflection with axis the line passing through A and B D. the reflection with axis the line passing through M and N E. all of these are symmetries of the square.
Find the relative extrema, if any, of the function. Use the second derivative test, if applicable.
?
?
A. Relative maximum: f (1) = 6 B. Relative maximum: f (0) = 2 C. Relative minimum: f (0) = 2 D. Relative minimum: f (1) = 6 E. none
Find the equation of variation if the following is true.Suppose p varies directly as q and p = 1 when q = .
A. p = 17q
B. p = 19q
C. p = q
D. p = 18q