Solve the problem.An object is suspended from a coiled spring. It is pulled downward and released. The position P above or below its rest position after t seconds is given by P = -e-x/2? cos xFind all values of t (0 ? t < 4?) for which the object is at the rest position and graph the equation for  

What will be an ideal response?


t = 

Mathematics

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Determine the standard equation of the hyperbola with the given characteristics and sketch the graph.The center is at (0, 0), a vertex is at (0, 3), and a focus is at (0, -3).

A.  -  = 1

B.  -  = 1

C.  -  = 1

D.  -  = 1

Mathematics

Find the center, foci, and vertices of the ellipse.3x2 + 4y2 - 36x + 24y + 132 = 0

A.  +  = 1
center: (-6, 3); foci: (-5, 3), (-7, 3); vertices: (-8, 3), (-4, 3)
B.  +  = 1
center: (6, -3); foci: (7, -3), (5, -3); vertices: (8, -3), (4, -3)
C.  +  = 1
center: (-6, 3); foci: (-5, 3), (-7, 3); vertices: (-8, 3), (-4, 3)
D.  +  = 1
center: (6, -3); foci: (7, -3), (5, -3); vertices: (8, -3), (4, -3)

Mathematics

In the circuit below, E = 20 V and VR = 9 V. Find VC and é.



a. é = -24.2ø, VC = 17.9 V
b. é = -26.4ø, VC = 44.5 V
c. é = -24.2ø, VC = 17.9 V
d. é = -63.3ø, VC = 17.9 V
e. é = -63.3ø, VC = 44.5 V

Mathematics

Perform the operations and simplify. ? ? Assume that no denominators are 0. ?

A. ?
B.
C. ?
D. ?

Mathematics