Eight feet of wire is to be used to form a square and a circle. (a) Express the sum of the areas of the square and the circle as a function A of a side of the square x. A = (b) What is the domain of A? (Enter your answer using interval notation.) (c) Use a graphing utility to graph A on its domain. y У 6. 4 4 3 х х 0.5 1.0 1.5 2.0 0.1 0.2 0.3 0.4 0.5 0.6 У 6. 4 4 3 3 2 3 4 0.2 0.4 0.6 0.8 1.0 (d) How much wire should be used for the square and how much for the circle in order to enclose the least total area? (Round your answers to two decimal places.) square ft circle ft How much wire should be used for the square and how much for the circle in order to enclose the greatest total area? (Round your answers to two decimal places.) square ft circle ft

Question

How do you answer the question in the attached picture?

Eight feet of wire is to be used to form a square and a circle.
(a) Express the sum of the areas of the square and the circle as a function A of a side of the square x.
A =
(b) What is the domain of A? (Enter your answer using interval notation.)
(c) Use a graphing utility to graph A on its domain.
y
У
6.
4
4
3
х
х
0.5
1.0
1.5
2.0
0.1
0.2
0.3
0.4
0.5
0.6
У
6.
4
4
3
3
2
3
4
0.2
0.4
0.6
0.8
1.0
(d) How much wire should be used for the square and how much for the circle in order to enclose the least total area? (Round your answers to two decimal places.)
square
ft
circle
ft
How much wire should be used for the square and how much for the circle in order to enclose the greatest total area? (Round your answers to two decimal places.)
square
ft
circle
ft

Image Transcription

Eight feet of wire is to be used to form a square and a circle. (a) Express the sum of the areas of the square and the circle as a function A of a side of the square x. A = (b) What is the domain of A? (Enter your answer using interval notation.) (c) Use a graphing utility to graph A on its domain. y У 6. 4 4 3 х х 0.5 1.0 1.5 2.0 0.1 0.2 0.3 0.4 0.5 0.6 У 6. 4 4 3 3 2 3 4 0.2 0.4 0.6 0.8 1.0 (d) How much wire should be used for the square and how much for the circle in order to enclose the least total area? (Round your answers to two decimal places.) square ft circle ft How much wire should be used for the square and how much for the circle in order to enclose the greatest total area? (Round your answers to two decimal places.) square ft circle ft

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: The integrals in Exercises out using tables. converge. Evaluate the integrals with- dx dx x.001 1. 2...

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: L’Hôpital’s Rule to evaluate the limit, or state that L’Hôpital’s Rule does not apply.

A: Click to see the answer

Q: Find the derivative of f (w) = (w2-2)" %3D Enclose numerators and denominators in parentheses. For e...

A: To determine the derivative of the function.    

Q: sketch the graph of the function. Indicate the transition points and asymptotes

A: We graph the function using a graphing calculator.   

Q: Find two positive real numbers x and y such that their product is 800 and x + 2y is as small as poss...

A: Given that, We have to minimize:

Q: Evaluate the integrals in Exercises 1–14. dx 3 dx 1. V9 + x² 2. V1 + 9x² dx dx 3. 4. 4 + x² 8 + 2x2 ...

A: Hi there, the exact one was not specified. so, I have answered first question.

Q: Find the derivative of f (x) = (x – 2)/10x7 + 1. Enclose numerators and denominators in parentheses....

A: To determine the derivative of the function.  

Q: sketch the graph of the function. Indicate the transition points and asymptotes

A: Click to see the answer

Q: 20. Does f grow faster, slower, or at the same rate as g as x→0? Give reasons for your answers. a. f...

A: Hey, since there are multiple sub parts questions posted, we will answer first three sub parts. If y...