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:
when entering values of x in the function, it is observed that for k = 7 the results of f (x) displace 10 units. For this see the attached table. Therefore, for this case, the correct answer is k = 7 and the way to solve it is to substitute values of x in the given functions and see the results of f (x).
so K=7
Step-by-step explanation:
1/100 of 605 is 6.05 because you divide 605 by 100
Answer:
4.8 megabytes / minute.
Step-by-step explanation:
At the beginning of recording the download you have 24 megabytes.
15 minutes later, you have 96 megabytes.
In 15 minutes you have downloaded 96 - 24 = 72 megabytes
So the question turns out to be a proportion of
x megabytes / 1 minute = 72 megabytes / 15 minutes.
x = 72/15
x = 4.8 megabytes / minute
