
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
Answer:
-4
<em>BRAINLIEST, PLEASE!</em>
Step-by-step explanation:
-12/3 = -4
Answer:
a is x>3
b is _> x/4 +12
c is x>-3
Step-by-step explanation: hope this helps
Answer:
Step-by-step explanation:
Set up a proportion
15 Liters / 4 gallons = 210 Liters / x Cross Multiply
15x = 4 * 210 Combine the right
15x = 840 Divide by 15
x = 840 / 15
x = 56 gallons
Answer:
99.04
=
99.04
Step-by-step explanation: