Since 
(density = mass/volume), we can get the mass/weight of the liquid by integrating the density 
over the interior of the tank. This is done with the integral
which is more readily computed in cylindrical coordinates as
Line joining (-3, -1) and (1/2, 2)
Point point form for a line is
(c-a)(y-b) = (d-b)(x-a)
(1/2 - - 3)(y - -1) = (2 - -1)(x - -3)
(7/2)(y+1)=3(x+3)
7(y+1)=6(x+3)
7 - 6(3) = 6x - 7y
6x - 7y = -11
Answer: second choice, 6x - 7y = -11
One important feature of the parabola is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.
This is a classic order of operations question
I always remember order of operations as PEMDAS, or
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
That is the order to do items, from left to right. Multiplication and decision take place at the same time, as do addition and subtraction
So lets look at your problem: 6 • (4 + 2)² – 32
The first thing to do is what is in the parentheses, the 4 + 2
6 • (6)² – 32
The 2nd thing is the exponent
6 • 36 – 32
Next we do the multiplication
216 - 32
And finally the subtraction, leaving us with
184
