First rewrite the quadratic function in standard form by completing the square, then find any x-intercepts and any y-intercepts.f(x) = x2 + 3x + 2
A. x-intercepts: 1 and 2; y-intercept: -1
B. x-intercepts: 1 and -2; y-intercept: 0
C. x-intercepts: -1 and 2; y-intercept: 2
D. x-intercepts: -1 and -2; y-intercept: 2
Answer: D
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Determine whether the equation defines y as a function of x.xy = 6
A. Yes B. No
List the ordered pair corresponding to the indicated point.M
A. (5, )
B. (, 4)
C. (, 5)
D. (4, )
Find the general solution for the differential equation. Then find the particular solution satisfying the initial condition.y' = 4x3; y(0) = -5
A. General solution: y = x4 + C; particular solution: y = x4 + 5 B. General solution: y = 4x4 + C; particular solution: y = 4x4 - 4 C. General solution: y = x4 + C; particular solution: y = x4 - 5 D. General solution: y = 4x3 + C; particular solution: y = 4x3 - 5
Find all points (if any) of horizontal and vertical tangency to the curve ,
.
?
A. horizontal tangents: ,
, vertical tangent: none
B. horizontal tangent: none, vertical tangents: ,
C. horizontal tangents: ,
, vertical tangent: none
D. horizontal tangent: none, vertical tangents: ,
E. horizontal tangent: none, vertical tangent: none