Answer:
Option 4
Step-by-step explanation:
=> 
Combining like terms
=> 
=> 
Answer:
=14n⁴+8n²-9n+7
Step-by-step explanation:
(8n⁴-6n+8n²)+(6n⁴-3n+7)
=8n⁴-6n+8n²+6n⁴-3n+7
=8n⁴+6n⁴+8n²-6n-3n+7
=14n⁴+8n²-9n+7
Step-by-step explanation:
perpendicular slope is negative reciprocal. -1/-1 = 1
y - 4 = x +3
y = x + 7
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
Answer:
a)
Slope form y=2x+3
Standard form 2x-y=-3
b)
Slope y=3/5x-6
Standard 3x-5y=30
c)
slope y=-3/2x+9
standard 3x+2y=18
d)
slope y=-3x+0
standard = 3x+y=0
Step-by-step explanation:
a)
Slope form y=2x+3
Standard form 2x-y=-3
b)
Slope y=3/5x-6
Standard 3x-5y=30
c)
slope y=-3/2x+9
standard 3x+2y=18
d)
slope y=-3x+0
standard = 3x+y=0