Answer:
6. Z= -11
7. N= 15.25
Step-by-step explanation:
6. Subtract 10 from each side to get Z+3= -8
Then Subtract 3 from each side to get Z= -11
7. Subtract 4 from each side to get 3/4 n= 16
Then Subtract 3/4 to get N= 15.25
Evaluate
at
:

Compute the line element
:

Simplifying the integrand, we have

Then the line integral evaluates to

Answer:
$9.60
Step-by-step explanation:
3.20x3=9.60
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3