Give the amplitude or period as requested.Amplitude of y = -4 sin x

A. 4
B. 2?
C. -4?
D.


Answer: A

Mathematics

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Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. +  +  + ... +  + ...

A.
B.
C. ; 5
D. ; 5

Mathematics

Write an equation in slope-intercept form of a line satisfying the set of conditions.Slope - ; b = 

A. y = - x - 
B. y =  x - 
C. y = x + 
D. y = - x + 

Mathematics

Find all the complex roots. Leave your answers in polar form with the argument in degrees.The complex fifth roots of -2i

A. (cos 54° + i sin 54°), (cos 126° + i sin 126°), (cos 198° + i sin 198°), (cos 270° + i sin 270°), 
B. 32(cos 54° + i sin 54°), 32(cos 126° + i sin 126°), 32(cos 198° + i sin 198°), 32(cos 270° + i sin 270°), 
C. (cos 54° + i sin 54°), (cos 126° + i sin 126°), (cos 198° + i sin 198°), (cos 270° + i sin 270°), 
D. (cos 45° + i sin 45°), (cos 117° + i sin 117°), (cos 189° + i sin 189°), (cos 261° + i sin 261°), 

Mathematics

Determine the vertex, focus, and directrix of the parabola and sketch its graph.(x + 4)2 = -12(y + 2)

A. vertex: (4, 2)  
focus: (4, -1)  
directrix: y = 5

B. vertex: (-4, -2)  
focus: (-4, 1)  
directrix: y = -5

C. vertex: (-4, -2)  
focus: (-4, -5)  
directrix: y = 1

D. vertex: (-2, -4)  
focus: (-2, -7)  
directrix: y = -1

Mathematics