On a graphing calculator, hit Math, Alpha, Math. Then input your logarithmic function. Hope this helped! Good luck :)

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
"Assuming a fair coin<span> and a fair 6-sided </span>die<span>. </span>Coin<span> has 2 sides with </span>equal probability<span>, 50% each. </span>Die<span> has 6 sides with </span>equal probability<span>, 1/6 odds </span>for<span> each side. ... The</span>probability of getting heads<span> is 1/2, and the </span>probability of getting<span> 5 or 6 is 1/3, and so you simply multiply 1/2 x 1/3, which is 1/6."</span>
a) The cost for 10 mile taxi ride is $18
b) The cost for m mile taxi ride is 1.5 m + 3
Step-by-step explanation:
Step 1 :
The fixed charges for the pick up = $3
Charges per mile = $1.50
Let s denote the total miles driven and t be the total cost for the trip
This can be represented by the equation
t = 3 + 1.5s
Step 2:
Distance traveled by Jonathan in his trip = 10 miles
So cost for riding 10 miles is
t = 3 + 1.5(10) = 3 + 15 = $18
The cost for 10 mile taxi ride is $18
Step 3 :
If the distance traveled is m miles, then substituting s = m in the above equation we get the cost as 1.5 m + 3
Step 4 :
Answer :
a) The cost for 10 mile taxi ride is $18
b) The cost for m mile taxi ride is 1.5 m + 3
Answer:
=
= 
Step-by-step explanation:
triangle ADE and triangle ABC are similar
therefore, the ratio of their corresponding sides are equal