Answer:
Step-by-step explanation:
Volume = 
find partial derivatives using product rule
i.e.
Using maximum for partial derivatives, we equate first partial derivative to 0.
y=0 or x+y =6
x=0 or x+4y =12
Simplify to get y =2, x = 4
thus critical points are (4,2) (6,0) (0,3)
Of these D the II derivative test gives
D<0 only for (4,2)
Hence maximum volume is when x=4, y=2, z= 4/3
Max volume is = 4(2)(4/3) = 32/3
The point-slope form:
- given point
- given slope
The standard form:
<em>use distributive property</em>
<em>add 
to both sides</em>
<em>subtract 
from both sides</em>
<em>change the signs</em>
Answer:
He bought fifteen shirts.
Step-by-step explanation:
Divide the price of the shirts to mow much they each cost.
Rewrite so
x
is on the left side of the inequality.
12
+
8
x
−
3
x
≥
5
+
2
x
−
2
Subtract
3
x
from
8
x
.
12
+
5
x
≥
5
+
2
x
−
2
Subtract
2
from
5
.
12
+
5
x
≥
2
x
+
3
Move all terms containing
x
to the left side of the inequality.
Tap for more steps...
12
+
3
x
≥
3
Move all terms not containing
x
to the right side of the inequality.
Tap for more steps...
3
x
≥
−
9
Divide each term by
3
and simplify.
Tap for more steps...
x
≥
−
3
The result can be shown in multiple forms.
Inequality Form:
x
≥
−
3
Interval Notation:
[
−
3
,
∞
)
