Answer:
option d is the correct answer
Answer:
151 in^3
Step-by-step explanation:
The rocket consists of two shapes - a cone and a cylinder
the volume of the plastic = volume of cone + volume of cylinder
volume of a cylinder = nr^2h
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
the diameter is the straight line that passes through the center of a circle and touches the two edges of the circle.
A radius is half of the diameter
Radius = 5/2 = 2.5
Height of cone = 11 - 6 = 5
Volume of plastic = (22/7) x (2/5^2) x 6 + (1/3) x (22/7) x (2/5^2) x 5 = 117.9 + 32.7 = 150.6 in^3 = 151
The derivative of
at a point
in the direction of a vector
is

We have

and

Then the derivative at
in the direction of
is

The answer is 24. to get this answer you would follow PEMDAS which means you divide first.
6 ÷ 3 =2 , so 22 + 2= 24
hopefully this helps