The answer for the last one is-36
Answer:
dV = - 5.73*10⁹ m³/s
Step-by-step explanation:
Question: What is the rate of change of the volume of the prism at that instant (in cubic meters per second) ?
A function can be dependent on one or more variables. The change in the function due to a change in one o its variables is given by the functions derivative with respect to that variable. For functions that are composed of products of its variables, we may use the product rule to determine its derivative.
The volume of a square prism with base a and height h is given by
V = a²h
When the base and height are changing, we have
dV = 2ah(da/dt) + a²(dh/dt)
Given
a = 4 Km
h = 9 Km
da/dt = - 7 Km/min
dh/dt = 10 Km/min
we have
dV = 2(4 Km)(9 Km)(- 7 Km/min) + (4 Km)²(10 Km/min)
⇒ dV = - 504 Km³/min + 160 Km³/min = - 344 Km³/min
⇒ dV = - 5.73*10⁹ m³/s
Answer:
Step-by-step explanation:
It is given that,
V = bdt i.e. V is equal to the product of b, d and t
We need to find the formula for d.
Dividing both sides of the given expression by bt
So,
Hence, is the value of d.
Answer:
A(x) = 4x^2 + 330x + 4356
Step-by-step explanation:
width of park: x
length of park: 4x
width + path width = x + 66
length + path width = 4x + 66
area = (x + 66)(4x + 66)
area = 4x^2 + 66x + 264x + 4356
area = 4x^2 + 330x + 4356
A(x) = 4x^2 + 330x + 4356
Answer:
2 degrees
Step-by-step explanation:
There is 360 degrees in a circle, triangle, square, and a ton of other shapes, and 280 plus 78 gives you 358 degrees. 360 - 358 equals 2 degrees.
Hope this helps!
