Can someone please help me?!

1 answer:

3 0

V=x(8-2x)(10-2x) or expanded

V=x(4x^2-36x+80)

V=4x^3-36x^2+80x

...

If you were to graph the above equation for V(x) you will see a maximum point where the "y" value is maximized, but be careful as V will increase without bound at values of x that are not part of the domain, ie, in this case x<8/2, x<4 to have any meaning...The proper domain of this function is:

x=(0,4), Mathematically finding this point quickly is by differentiating it with respect to x...

dV/dx=12x^2-72x+80, The maximum volume will occur when dV/dx=0 and the x value is within the correct domain...

12x^2-72x+80=0 (using the quadratic formula for ease)

x=(72±√1344)/24, and since x<4

x≈1.472in (to the nearest one thousandth of an inch)

You might be interested in

WILL AWARD BRAINLIEST

MAVERICK [17]

Answer:

ΔABC ~ ΔDEC

Step-by-step explanation:

Given : DE║AB

Statements Reasons

1). DE║AB 1). Given

2). ∠CDE ≅ ∠CAB 2). Corresponding angles

[Since DE║AB and AC is the transverse]

3). ∠CED ≅ ∠CBA 3). Corresponding angles