Answer:
The correct answer is option
Step-by-step explanation:
The given equation has a degree 4 (Highest power of ):
is the given equation which can be written as:
Let and putting it in equation (1):
Solving the above quadratic equation in variable :
We know that
So,
1. Solving
2. Solving
Hence, correct answer is:
Answer:
The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.
Step-by-step explanation:
A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.
Recall that the volume for a cylinder is given by:
Substitute:
Solve for <em>h: </em>
Recall that the surface area of a cylinder is given by:
We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.
First, substitute for <em>h</em>.
Find its derivative:
Solve for its zero(s):
Hence, the radius that minimizes the surface area will be about 3.628 centimeters.
Then the height will be:
In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.
To find H we need to divide 104/13 which is 8 and 13 x 8 = 104.
Hope I helped.
Answer:
the answer should be 27 ft
sorry if I'm wrong
Answer:
Step-by-step explanation:
<u>Jane's caldles:</u>
- Cost = $20, Price = $3 per candle
<u>Chris's candles:</u>
- Cost = $40, Price = $5 per candle
<u>Profit, if equal per x candles is:</u>
- 3x - 20 = 5x - 40
- 5x - 3x = 40 - 20
- 2x = 20
- x = 10
Each will have profit of $10 if 10 candles sell