1/4 + n = 2/3 *using the inverse operation*
2 answers:
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a ) The domain:
x^4 - 16 x² ≥ 0
x² ( x² - 16 ) ≥ 0
x² - 16 ≥ 0
x² ≥ 16
x ∈ ( - ∞, - 4 ] ∪ [ 4 , + ∞ )
b ) f ` ( x ) =
= ( 2 x³ - 16 x ) / √(x^4 - 16 x²)
c ) The slope of the tangent line at x = 5:
f ` ( 5 ) = ( 2 * 125 - 16 * 5 ) / √ ( 625 - 400 ) = 170 / 15 = 34 / 3
The slope of the line normal to the graph at x = 5:
m = - 3 / 34
<u><em>Answer:</em></u>
Yung bought 46 pieces of bubble gum for $4.6
<u><em>Explanation:</em></u>
We are given that each piece of gum cost $0.1 and that he spent $4.6 on gums
<u>To get the number of gums he bought, we will simply use cross multiplication as follows:</u>
1 piece .........................> 0.1
x pieces ......................> 4.6
<u>Therefore:</u>
pieces of gum
Hope this helps :)