Answer:
2w = -10
-10 / 2 = -5
Answer: -5
Step-by-step explanation:
Answer:
<em>The x-coordinate is changing at 10 cm/s</em>
Step-by-step explanation:
<u>Rate of Change</u>
Suppose two variables x and y are related by a given function y=f(x). If they both change with respect to a third variable (time, for instance), the rate of change of them is computed as the derivative using the chain rule:
We have
Or, equivalently
We need to know the rate of change of x respect to t. We'll use implicit differentiation:
Solving for dx/dt
Plugging in the values x=1, y=3, dy/dt=5
The x-coordinate is changing at 10 cm/s
Answer:
x=36
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let represent the edge of the tank with x and the radius of the first sphere with x/2;
The amount of the water = Volume of the tank - Volume of the sphere
=
on the second cube ; the radius of the sphere = ;
Also the number of sphere here is = 8
The amount of water =
For the third figure ; the radius of the sphere is =
Also the number of sphere here is = 64
The amount of water =
=
In the fourth tank ; 512 sphere illustrates that in a single row; that more than one 8 sphere is present i.e 8³ = 512
then the radius will be =
The amount of water =
=
This implies that alll the three cube shaped tanks are identical and hold equal amount of water.
<h2>
Weight of column is 555.83 N</h2>
Step-by-step explanation:
Size of column = 6 inch x 6 inch x 8 ft
Size of column = 0.5 ft x 0.5 ft x 8 ft
Volume of column = 0.5 x 0.5 x 8 = 2 ft³
Specific weight of concrete = 62.4 lb/ft³
Mass = Volume x Specific weight
Mass = 2 x 62.4
Mass = 124.8 lb = 124.8 x 0.454 = 56.66 kg
Weight = 56.66 x 9.81 = 555.83 N
Weight of column is 555.83 N