Answer:
a) Depth changing rate of change is 
, When the water is 6 meters deep
b) The width of the top of the water is changing at a rate of 
, When the water is 6 meters deep
Step-by-step explanation:
As we can see in the attachment part II, there are similar triangles, so we have the following relation between them 
, then 
.
a) As we have that volume is 
, then 
, so we can derivate it 
due to the chain rule, then we clean this expression for 
and compute with the knowns 
, is the depth changing rate of change when the water is 6 meters deep.
b) As the width of the top is 
, we can derivate it and obtain 
The width of the top of the water is changing, When the water is 6 meters deep at this rate
w x L = 36
w = L- 5
L x ( L-5 ) = 36
L^2 -5L -36 =0
<span>Use the quadratic formula
L= - b + radical b^2 - 4 (a)(c) divided 2.a
L= 5 + 13 / 2 = 18 /2 =9</span>
Answer:
Shortest distance from the mountain is 3.17 miles.
Step-by-step explanation:
From the figure attached,
Let a mountain is located at point A.
Angle between the mountain and point B (∠B) = 53°
Angle between the mountain and point C (∠C) = 78°
Distance between these points = 3 miles
Since, m∠A + m∠B + m∠C = 180°
m∠A + 53° + 78° = 180°
m∠A = 180°- 131° = 49°
By applying sine rule in triangle ABC,
AC = 
AC = 3.17 miles
AB = 
AB = 3.89 miles
Therefore, shortest distance from the mountain is 3.17 miles.
Answer:
I think it's true. hope this helps!!
1192828 and also the coordinates 1227
