Answer:
a. 5 units
b. 5 units
Step-by-step explanation:
Given:
The path the dolphin Travels can be modelled by
where h represents the height of the dolphin and d represents horizontal distance.
To find: maximum height that the dolphin reaches and the distance covered by dolphin
Solution:

Differentiate with respect to 

To find the critical point, put 

Differentiate
again with respect to 

So,
is a point of maxima

a. 5 units
b. 5 units
Answer:
a) (x/7)^1/9=y
Step-by-step explanation:
f(x) = 7x^9
x/7= 7y^9/7
(x/7)^1/9=(y^9)^1/9
(x/7)^1/9=y
f^-1(x) is a fuction because it passes the vl test
Answer:
Decide how she could paint the box. Paint 2 sides of the box the same color.
What is the total area that each color will cover? The total area would be 2 sides of the box sides per color.
Step-by-step explanation:
The box has 6 sides. If Alaya will pain the box with 3 different colors...
6÷3=2
Answer:311/21
Step-by-step explanation:
We know that ∠E = ∠F because of the vertical angle theorem.
Using substitution we get 8x + 8 = 2x + 38
Solve for x.
8x + 8 = 2x + 38
8x = 2x = 30 <-- Subtract 8 from each side
6x = 30 <-- Subtract 2x from each side
x = 5 <-- Divide both sides by 6
So, x is equal to 5.