Question

( PARTA) Find the dimensions (both base and height ) of the rectangle of largest area...

( PARTA) Find the dimensions (both base and height ) of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola below. y = 8 − x

(PARTB) A box with a square base and open top must have a volume of 62,500 cm3. Find the dimensions( sides of base and the height) of the box that minimize the amount of material used.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1- An open box with a square base is to have a volume of 10 ft3....
1- An open box with a square base is to have a volume of 10 ft3. (a) Find a function that models the surface area A of the box in terms of the length of one side of the base x. (b) Find the box dimensions that minimize the amount of material used. (Round your answers to two decimal places.) 2- Find the dimensions that give the largest area for the rectangle. Its base is on the x-axis and its...
A box with a square base and open top must have a volume of 202612 cm3....
A box with a square base and open top must have a volume of 202612 cm3. We wish to find the dimensions of the box that minimize the amount of material used. (Round your answer to the nearest tenthousandths if necessary.) Length = Width = Height =
A box with a square base and open top must have a volume of 296352 cm3....
A box with a square base and open top must have a volume of 296352 cm3. We wish to find the dimensions of the box that minimize the amount of material used. (Round your answer to the nearest tenthousandths if necessary.) Length = Width = Height =
A company plans to manufacture a rectangular box with a square base, an open top, and...
A company plans to manufacture a rectangular box with a square base, an open top, and a volume of 404 cm3. The cost of the material for the base is 0.5 cents per square centimeter, and the cost of the material for the sides is 0.1 cents per square centimeter. Determine the dimensions of the box that will minimize the cost of manufacturing it. What is the minimum cost?
Find the area of the largest rectangle with one corner at the origin, the opposite corner...
Find the area of the largest rectangle with one corner at the origin, the opposite corner in the first quadrant on the graph of the parabola f(x)=600−8x2, and sides parallel to the axes. The maximum possible area is ___. Find the area of the largest rectangle with one corner at the origin, the opposite corner in the first quadrant on the graph of the line f(x)=12−2x, and sides parallel to the axes. The maximum possible area is ___
A rectangle has two of its vertices on the X axis and the other two above...
A rectangle has two of its vertices on the X axis and the other two above the X axis on the graph of the parabola y = 16-x ^ 2. Of all possible rectangles, find the dimensions of the one with the largest area.
A box with an open top has a square base and four sides of equal height....
A box with an open top has a square base and four sides of equal height. The volume of the box is 225 ft cubed. The height is 4 ft greater than both the length and the width. If the surface area is 205 ft squared. what are the dimensions of the​ box? What is the width of the box?. What is the length of the box?
ASAP A company plans to manufacture a rectangular container with a square base, an open top,...
ASAP A company plans to manufacture a rectangular container with a square base, an open top, and a volume of 320 cm3. The cost of the material for the base is 0.8 cents per square centimeter, and the cost of the material for the sides is 0.2 cents per square centimeter. Determine the dimensions of the container that will minimize the cost of manufacturing it. What is the minimum cost?
A box with a square base and open top must have a volume of 108000 cm^3....
A box with a square base and open top must have a volume of 108000 cm^3. We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x, the length of one side of the square base. [Hint: use the volume formula to express the height of the box in terms of x.] Simplify your formula as much as possible....
A rectangle is inscribed with its base on the x-axis and its upper corners on the...
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y= 1x^2. What are the dimensions of such a rectangle with the greatest possible area?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT