Answer:
D. The graph of G(x) is the graph of F(x) flipped over the y-axis and
stretched vertically.
Step-by-step explanation:
since there is a negative, there must be a reflection. the reflection is over the y-axis because it is outside the x-value (-F(x) not F(-x))
the same goes for the vertical stretch. we know it is a vertical stretch because the 3 is outside the x-value (3F(x) not F(3x))
Use the chain rule to compute the second derivative:
The first derivative is
Then the second derivative is
Then plug in π/4 for <em>x</em> :
Given:
width of bookshelf no greater than 6 1/2 feet
purchased bookshelf that is 77 inches wide
We need to find the equivalent value in feet of the purchased bookshelf.
1 foot is equal to 12 inches
77 inches * 1 foot/12 inches = 77 ft/12 = 6 5/6 ft
Or we can convert the feet into inches:
6 1/2 feet convert to improper fraction.
((6*2)+1)/2 = 13/2 feet
13/2 ft * 12 inches/1ft = (13 * 12)/2 = 156/2 = 78 inches
Compare the maximum width of 78 inches to the actual width of 77 inches.
The purchased bookshelf can fit between two windows.
