Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.



e. none of the these


Mathematics

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Use the substitution formula to evaluate the integral.

A. 6 ln 2 B. 3 ln 2 C. -3 ln 2 D. 3 ln 3

Mathematics

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

Determine the vertex and the x-intercepts. Then sketch the graph.y = x2 + 5x + 6

A.

Vertex: ;
x-intercepts: (-3, 0) and (-2, 0)
B.

Vertex: ;
x-intercepts: (-3, 0) and (-2, 0)
C.

Vertex:  ;
x-intercepts: (3, 0) and (2, 0)
D.

Vertex:  ;
x-intercepts: (3, 0) and (2, 0)

Mathematics

Change to the equivalent decimal.

A. 76 B. 0.76 C. 0.13 D. 7.6

Mathematics