Question: A rectangular field is to have an area of 500 m 2 . (a) Write the perimeter, P, of the field as a function of

A rectangular field is to have an area of 500 m2.

(a) Write the perimeter, P, of the field as a function of the width, w.

(b) Find the domain of the function in part (a).

(c) Use a graphing calculator to sketch the graph of the function in part (a).

(d) Describe what the graph found in part (c) tells you about how the perimeter of the field varies with the width.

Step by Step Solution

★★★★★

3.45 Rating (177 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b c d P 21 2... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus With Applications Questions!

Q:

York plc was formed three years ago by a group of research scientists to market a new medicine that they had invented. The technology involved in the medicine's manufacture is both complex and...

Q:

What does it take to have an area of core competency? Provide an example.

Q:

A poster is to have an area of 180 in 2 with 1-inch margins at the bottom and sides and a 2-inch margin at the top. What dimensions will give the largest printed area?

Q:

A rectangular field is to have a perimeter of 6000 ft. (a) Write the area, A, of the field as a function of the width, w. (b) Find the domain of the function in part (a). (c) Use a graphing...

Q:

A rectangular field is to have an area of 600 m2. a. Write the?perimeter, P, of the field as a function of the?width, W. b. Find the domain of the function in part a. c. Use a graphing calculator to...

Q:

Directions. Complete each problem. Show your work on a separate sheet(s) of paper. BOX YOUR FINAL ANSWERS on your work (scrap) paper. You must show your work to get credit. Please follow the...

Q:

Help he nearest hundredth (two places after the decimal point) steps need to be correct but minor mistakes are acceptable Problem 9 (G5) Problem 2 (G1) A rectangular field is 68 feet long. If the...

Q:

Help me please hb ECT itter WRITTEN WORK1 Name: Grade & Section Score Test /. Read the questions carefully and encircle the letter of your answer. ABSOLUTELY NO ERASURES. The square of a number...

Q:

Written Works A. Write the letter of the correct answer on the space provided before each number. 1. A two dimensional plane formed by the intersection of the x and y axis. a. NY plane b. Cartesian...

Q:

7) David's yard has an area of 450 ft2. Find the length if it is twice the width. 8) Angle A has four times the measure of Angle B. Angle C has five times the measure of Angle B. What is the measure...

Q:

content area top Part 1 A rectangular field is five times as long as it is wide. If the perimeter of the field is 240 yards, what are the field's dimensions? Question content area bottom Part 1 The...

Q:

Solve (3x + y)dy + (x + 3y2)dx = 0.

Q:

The Blasco case involved a payday loan, for which she was paying 6,500 percent interest. Some states outlaw such loans or heavily regulate the interest rates. Should the law permit these loans?

Q:

First, choose one of the following events to plan and schedule. A Superbowl party A wedding A child's ( 6 to 1 0 years of age ) birthday party Give a brief, one paragraph, description of your event....

Q:

Examine how resource attributes, real or perceived, tangible or intangible, contribute to SCA and firm performance.

Q:

Match each equation in Column I with its graph in Column II. (x + 3) 2 + (y - 2) 2 = 25

Q:

For the points P and Q, find (a) The distance d(P, Q), (b) The coordinates of the midpoint of the segment PQ, (c) An equation for the line through the two points. Write the equation in...

Q:

Refer to functions and g as described in Exercises, and find the following. Domain of g

Q:

Question 3 - Time Value of Money Concept Belinda (Canadian) and Max (Australian) have just welcomed baby Siena into the world. They are currently aged 35 years old and have decided it is time to plan...

Q:

What is the NPV of this opportunity if the interest rate is 1 . 6 % per year? The NPV of this opportunity is $dots. ( Round to the nearest cent. )

Q:

You have the following information about the daily returns, standard deviations, and correlations between a US stock index, a US bond index, and an All-world Ex-US stock index: What is the standard...