ooooo ATT LTE 753 PM T 14 imathas rationalreasoningnet Consi

ooooo AT&T; LTE 7:53 PM T 14% imathas rationalreasoning.net Consider the function f(a) 86 sin(4Ta) 6. The output quantity of f is measured in millimeters. Match the following expressions with the appropriate quantities. (You may use an answer more than once or some not at all.) Ca T the maximum value of f a v angle measure swept counter- clockwise from 3 o\'clock position Ca v the midline of the graph of f a the vertical distance above the horizontal diameter (measured in millimeters) a v the amplitude of the graph of a v the input of f the argument of sine the radius of the rotation in millimeters a the minimum value of f a the vertical distance above the horizontal diameter (measured in

Solution

f(a) = 86sin(4pi*a) +6

a) maximum value of f(a) = 86 + 6 = 92

b) angle measure swept CCW from 3 o clock position = 4pi

c) midline : 6

d) vertical distance above horizontal diameter : f(a) = 86sin(4pi*a) +6

e) amplitude = 86

f) input of f(a) = a

g) argument of sin function = 4pi*a

h) radius of rotation ( 92 +80)/2 = 172/2 = 86

i) minium value of f(a) = -86 +6 = -80