Solve the problem. Round your answer, if appropriate.Water is discharged from a pipeline at a velocity v (in ft/sec) given by  where p is the pressure (in psi). If the water pressure is changing at a rate of  find the acceleration (dv/dt) of the water when 

A. 62.5 ft/sec2
B. 116 ft/sec2
C. 19.3 ft/sec2
D. 1040 ft/sec2


Answer: C

Mathematics

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Decide whether or not the events are mutually exclusive.Events A and B defined as followsEvent A is that at least three of Toni's five cousins are female. Event B is that at least three of Toni's five cousins are male.

A. No B. Yes

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Find the vertex, axis of symmetry, and y-intercept of the parabola that has the given focus and directrix.Focus , directrix y = 

A. , x = 
B. , y = 4, (0, 4)
C. , x = 
D. (-64), x = , (0, 40)

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Test the vector field F to determine if it is conservative.F = i +  j - k

A. Not conservative B. Conservative

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Use the information given about the angle ?, 0 ? ? ? 2?, to find the exact value of the indicated trigonometric function.sin ? = - ,   < ? < 2?Find sin .

A. - 
B. - 
C.  
D.  

Mathematics