Answer:
V=5.333cubit unit
Step-by-step explanation:
this problem question, we are required to evaluate the volume of the region bounded by the paraboloid z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1
The question can be interpreted as z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1 and we are told to evaluate the volume of the region bounded by the given paraboloid z
The volume V of integral evaluated along the limits of x and y for the 2-D figure, can be evaluated using the expression below
V = ∫∫ f(x, y) dx dy then we can now substitute and integrate accordingly.
CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION:
The objective function is simply a function that is meant to be maximized. Because this function is multivariable, we know that with the applied constraints, the value that maximizes this function must be on the boundary of the domain described by these constraints. If you view the attached image, the grey section highlighted section is the area on the domain of the function which meets all defined constraints. (It is all of the inequalities plotted over one another). Your job would thus be to determine which value on the boundary maximizes the value of the objective function. In this case, since any contribution from y reduces the value of the objective function, you will want to make this value as low as possible, and make x as high as possible. Within the boundaries of the constraints, this thus maximizes the function at x = 5, y = 0.
Answer:
180,000 m
Step-by-step explanation:
There are 60 seconds in a minute, so:
2 min × 60 s/min = 120 s
Distance = rate × time
d = 1500 m/s × 120 s
d = 180,000 m
hope it helps you and plz mark me brilliantest
Step-by-step explanation:
m<2
Answer:
10⁴ seconds
Step-by-step explanation:
Given that,
A person breathes 
in about cubic meters of air per second.
We need to find time taken to breathe 2.5 cubic meters of air.
In 1 sec = m³ of air breathe
Let in x seconds, 2.5 m³ of air taken by the person.
Hence, in 10⁴ seconds 2.5 m³ of air is taken by the person.
