It is given in the question that
A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by
And the edge length of the base is 12 cm, the edge length of the base is decreasing at a rate of 2 cm/min, the height of the box is 6 cm, and the height is increasing at a rate of 1 cm/min.
Here we differentiate V with respect to t, and we use product rule, that is
Substituting the given values , we will get
![[tex]dV/dt = 2(12)(6)(-2)+ 12^2(1)](https://tex.z-dn.net/?f=%5Btex%5DdV%2Fdt%20%3D%202%2812%29%286%29%28-2%29%2B%2012%5E2%281%29)
[/tex]
So at that moment, the volume is decreasing at the rate of
Answer:
The coefficient of the second term in this expression is 6.
Step-by-step explanation:
A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. There are three terms in this expression (9, 6w, and 5y), and the coefficient of the second term is 6.
Answer:
−3x > 24
Step-by-step explanation:
Adding 10 to both sides of the inequality will give the missing step:
-3x -10 +10 > 14 +10
-3x > 24
Answer: [c, ∞)
<u>Step-by-step explanation:</u>
Range is all of the y-coordinates.
The parabola is upright (∪) because the coefficient of x² is positive.
So the minimum value is at "c" and the parabola tends toward infinity.
Range: y ≥ c <em>in Interval Notation</em>: [c, ∞)
M + n² = (2) + (-2)² = 2 + 4 = 6
Answer: 6
