Graph the function.
?
 
?

A.

?

?


B.

?


C.

?

?


D.

?



Answer: C

Mathematics

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Solve the problem.When the angular displacement ? of a pendulum is small (less than about 6°), the pendulum moves with simple harmonic motion closely approximated by  where  g is the acceleration due to gravity, and l is the length of the pendulum. Find ? as a function of time (in sec) if    

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A. ? = -2 cos 1.4t + 0.1 sin 1.4t
B. ? = 0.1 cos 1.4t
C. ? = -2 sin 1.4t + 0.2 cos 1.4t
D. ? = -2 sin 1.4t + 0.1 cos 1.4t

Mathematics

Use the vertex formula to find the vertex of the quadratic function.f(x) = 5x2 + 10x - 4

A. (1, 11) B. (-1, -9) C. (2, 36) D. (-2, 6)

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Factor by grouping.12x3 + 20x2 + 3x + 5

A. (4x2 + 1)(3x + 5) B. (4x2 - 1)(3x + 5) C. (4x + 1)(3x + 5) D. (4x2 + 1)(3x - 5)

Mathematics

Solve the problem.Find the equation of a circle in standard form that is tangent to the line x = -3 at (-3, 5) and also tangent to the line x = 9.

A. (x - 3)2 + (y - 5)2 = 36 B. (x - 3)2 + (y + 5)2 = 36 C. (x + 3)2 + (y + 5)2 = 36 D. (x + 3)2 + (y - 5)2 = 36

Mathematics