Math

CalculusQ&A LibraryOptimization:You and your classmates have decided to enter an ice sculpting contest. Before you begin, you must create a block of ice with the following strict requirements:1. The volume must be 18 ft3.2. The length of the base must be three times the size of the width of the base.3. The long side of the base cannot be more than 12 ft long.4. The short side of the base must be at least 1 foot long. (There are no constraints of the height of the block.)Find the dimensions of the ice block with the largest possible surface are. Note that your team captain will require proof that you have, indeed, provided a block with the maximum surface area.Question

Asked Oct 30, 2019

20 views

Optimization:

You and your classmates have decided to enter an ice sculpting contest. Before you begin, you must create a block of ice with the following strict requirements:

1. The volume must be 18 ft^{3}.

2. The length of the base must be three times the size of the width of the base.

3. The long side of the base cannot be more than 12 ft long.

4. The short side of the base must be at least 1 foot long. (There are no constraints of the height of the block.)

Find the dimensions of the ice block with the largest possible surface are. Note that your team captain will require proof that you have, indeed, provided a block with the maximum surface area.

Step 1

Given an ice block with the following conditions,

Step 2

Now, let l be the length, w be the width and h be the height of ice block.

Step 3

We calculate the su...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Find the solution of the exponential equation 121-x _ = 2 in terms of natural logarithms, or correct...

A: Click to see the answer

Q: Angle of tangent to curve 8 of 13 Review Constants Part A What angle does the tangent to the curve y...

A: Click to see the answer

Q: Find an equation of the line tangent to the curve defined by x^3+2xy+y^3=4 at the point (1,1).

A: To find the equation of the tangent line at the point (1, 1) to the curve given below.

Q: show that the given function is one-to-one and find its inverse. Check your answersalgebraically and...

A: Given:

Q: If an object is thrown upward at 128 feet per second from a height of 36 feet, its height S after t ...

A: Average velocity in first 4 seconds is

Q: The radius of a circular disk is given as 18 cm with a maximum error in measurement of 0.2 cm (a) Us...

A: Click to see the answer

Q: Can you help with this problem step by step?

A: As per norms, the first three questions (of the multi-part problem) are answered. To identify the cr...

Q: Sketch the graph of a function that satisfies the following 3. conditions: (a) f'(0) f'(2) = f'(4) =...

A: There are many ways to draw the graph. From part (a), observed that the function has local minimum o...

Q: Let f(x) = 2x3 + 12x2 + 65x − 44 Determine the interval(s) on which the graph of f is concave up and...

A: As a first step, let's find the second derivative of f(x)f(x) = 2x3 + 12x2 + 65x − 44 Recall the fam...