Answer:
1. V = πr²h
2. dv/dt = πr²dh/dt
3. dv/dt = 113.04
Step-by-step explanation:
We have these information
Radius R = 3cm
Height = h
Volume = V
We have been given dh/dt = 4cm
1.
An equation relating V, r, h
Volume of cylinder = πr²h
2.
The related rates equation
dv/dt = πr²dh/dt
dv/dt = π3²dh/dt
3. Continuing from number 2 above, we have
dv/dt = π3²dh/dt
= π9x4
= 3.14x9x4
= 113.04
These are the answers to the questions
Answer:
y = -1/3
Step-by-step explanation:
As x gets large, the value of the expression approaches the ratio of the highest-degree terms in numerator and denominator:
y = -3x^6/(9x^6) = -3/9
y = -1/3
I think its A not sure though
Answer:
16 feet
Step-by-step explanation:
The length of the ladder=20 feet
Distance from the base of the ladder to the house = 12 feet
You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.
To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.
From Pythagoras theorem

The third side of the right triangle is 16. Therefore the ladder leans 16 feet from the ground.
There could be 2 possible shapes that could’ve been drawn.
A rectangle, or a square.
All of their angles are 90° angles, which are right angles.
Hope this helped!