Simple, what you're basically doing is simplifying,
well, you have 3x and you have
12/3=4
and you can "cancel" out an x, making your answer,
.
Answer:
Radius =6.518 feet
Height = 26.074 feet
Step-by-step explanation:
The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder
Volume of a Hemisphere
Volume of a Cylinder
Therefore:
The Volume of the Solid formed
Area of the Hemisphere =
Curved Surface Area of the Cylinder =
Total Surface Area=
Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.
Therefore total Cost, C
Recall:
Therefore:
The minimum cost occurs at the point where the derivative equals zero.
Recall:
Therefore, the dimensions that will minimize the cost are:
Radius =6.518 feet
Height = 26.074 feet
Paralell has same slope
y=mx+b
m=slope
y=5x-1
when is the slope 5?
take the derivitive of 2e^x
f'(2e^x)=2f'(e^x)=2e^x
that is the slope
5=2e^x
divide both sides by 2
2.5=e^x
take the ln of both sides
ln2.5=x
when x=ln2.5 they are paralell
Answer:25,000(0.15)^x
Step-by-step explanation:
I think this is the answer because there are 25,000 gray wolf in the world and they are expected to grow by 15%. 15% is .15. So those two numbers multiplied, to the x exponent should give you the answer of how large the wolf population is expected to be.
Answer:
Step-by-step explanation:
Y= 2/1x +7
1(1)= 1(2/1x +7)
1y =2x +7
-2x -2x
-2x + 1y = 7