Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Petangre has an area of 6O00 cm?. equation to represent length, e,as a functicn of the width, W, ter this recfanghe, 6) Write an equeation torepresant the chanme in lenan Os a function of mdth, W whan the wid this increesed by c w, of the recbeunpre a) Write an I cm. ) Determine the wicth, if the chavge in length is lo cm

Petangre has an area of 6O00 cm?. equation to represent length, e,as a functicn of the width, W, ter this recfanghe, 6) Write an equeation torepresant the chanme in lenan Os a function of mdth, W whan the wid this increesed by c w, of the recbeunpre a) Write an I cm. ) Determine the wicth, if the chavge in length is lo cm

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
reCtangre has an area of GoOo cm?. a) White an equation to represent length, e, as a fuanction of the width, W for 6) Write on equatian torepregant the charge in lendn Os a functicn of niath, W, whan thewid this ncreesed by I cm c) Deterumine the width, w, of Hhe recaungle if the chavge in lergthn fhis rectangde. s lo cm
Transcribed Image Text:reCtangre has an area of GoOo cm?. a) White an equation to represent length, e, as a fuanction of the width, W for 6) Write on equatian torepregant the charge in lendn Os a functicn of niath, W, whan thewid this ncreesed by I cm c) Deterumine the width, w, of Hhe recaungle if the chavge in lergthn fhis rectangde. s lo cm
Expert Solution
Step 1

(a)

Consider the area of a rectangle as A=6000 cm2.

Let the length and width of the rectangle be denotes as l and w.

Note that, the area of a rectangle of length l and width w is given by A=wl.

Now equate the area to 6000 and write the length l as function of w as follows:

wl=6000l=6000w

(b)

Consider the length of rectangle obtained in part (a) as l=6000w.

Differentiate the above function with respect to w as follows:

dldw=ddw6000w       =-6000w2dl=-6000w2dwdl=-6000w2    dw=1

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Area of a Circle
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS