Question

Optimal boxes Imagine a lidless box with height h and a square base whose sides have length x. /the box must have a volume of 125 ft^3.

Estimate the value of x that produces the box with a minimum surface area.

The first part is to find and graph the function S(x), that gives the surface area of the box, for all values of x>0

I just need to know how to find the minimum surface area.

Expert Answer

Want to see the step-by-step answer?

See Answer

Check out a sample Q&A here.

Want to see this answer and more?

Step-by-step answers are written by subject experts who are available 24/7. Questions are typically answered in as fast as 30 minutes.*

See Answer
*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.
Tagged in

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: The question asks: Simplify the expression, and eliminate any negative exponents. Assume that all le...

A: Yes, you are right. We add the exponents because the bases are same. 

Q: Find the area of the region inside of r = 1-sin(theta) and outside of r = 1 show all work

A: Compute the intervals of θ as follows.For the points of intersection,

Q: How can I get the result? Which is the result?

A: Refer to the critical numbers of the function h(x) = sin2x+cosx, where 0<x<2piThe critical poi...

Q: A drag racer accelerates at a(t) = 84 ft/s^2. Assum v(0) and s(0) = 0.

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: How can I get the result? Which is the result?

A: The given function is,

Q: Please help me on how to perform a test to determine if the equation converges.

A: The integral is given as

Q: Activity 4 the Derivative of Inverse Trigonometric Functions 9. Without technology find the derivati...

A: The given functions are y = sin–1(4x), y = cos–1(lnx), y = tan–1(e2x), y = x(sin-1(x))2.

Q: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(3x + 3)−1 − 1000 where x i...

A: The revenue from the sale of a product is, in dollars,R = 1500x + 3000(3x + 3)−1 − 1000where x is th...

Q: When using u substation what should I use as the u when the problem is the intergral of cos3(x)sin(x...

A: Explanation:The given integral is ∫cos3(θ)sin(θ)dθ.