1) The perimeter of a given square P can be represented by the function P(A) = 4√Ā where A is the area of the square. The graph of the function P is shown for 0 ≤ A ≤ 25. Perimeter (P) 20 10- a) Write down the value of P(25). The range of P(A) is 0 ≤ P(A) ≤ n. 10 Area (4) 20 b) Hence write down the value of n. c) On the axes above, draw the graph of the inverse function, P-¹.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Can someone please help? Thank you.
1) The perimeter of a given square P can be represented by the function P(A) = 4√Ā where A is the area of the
square. The graph of the function P is shown for 0 ≤ A ≤ 25.
Perimeter (P)
20
10
a) Write down the value of P(25).
The range of P(A) is 0 ≤ P(A) ≤n.
10
Area (4)
20
b) Hence write down the value of n.
c) On the axes above, draw the graph of the inverse function, P-¹.
d) In the context of the question, explain the meaning of P-¹(8) = 4.
Transcribed Image Text:1) The perimeter of a given square P can be represented by the function P(A) = 4√Ā where A is the area of the square. The graph of the function P is shown for 0 ≤ A ≤ 25. Perimeter (P) 20 10 a) Write down the value of P(25). The range of P(A) is 0 ≤ P(A) ≤n. 10 Area (4) 20 b) Hence write down the value of n. c) On the axes above, draw the graph of the inverse function, P-¹. d) In the context of the question, explain the meaning of P-¹(8) = 4.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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,