Answer:
The rate of change of the distance when x = 9 and y = 12 is .
Step-by-step explanation:
This is an example of a related rate problem. A related rate problem is a problem in which we know one of the rates of change at a given instant and we want to find the other rate at that instant.
We know the rate of change of x-coordinate and y-coordinate:
We want to find the rate of change of the distance when x = 9 and y = 12.
The distance of a point (x, y) and the origin is calculated by:
We need to use the concept of implicit differentiation, we differentiate each side of an equation with two variables by treating one of the variables as a function of the other.
If we apply implicit differentiation in the formula of the distance we get
Substituting the values we know into the above formula
The rate of change of the distance when x = 9 and y = 12 is
Start by multiplying six by 3 and getting 18. thendivide 23.15 by 18 = 1.2861111
that's the answer.
Answer:
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Solution,
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression
Collect like terms
Calculate the sum
Factor out -2 from the expression
Hope this helps ...
Good luck on your assignment...
Side of the base of the pyramid: s=54 m
Height of the pyramid: h=260 m
Volumen of the building = Volumen of the pyramid = V=?
V=Ab*h/3
Area of the base = Area of a square = Ab=s^2=(54 m)^2→Ab=2,916 m^2
V=(2,916 m^2)*(260 m)/3→V=252,720 <span>m³
Answer: T</span>he volume of the building is 252,720 m³