A rain gutter is to be constructed from a metal sheet of width 54 cm by bending up one-third of the sheet on each side through an angle 8. 18 ст 18 ст 18 ст (a) Show that the cross-sectional area of the gutter is modeled by the function A(6) = 324 sin(e) + 324 sin(6) cos(8).

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter45: Solution Of Equations By The Multiplication, Root, And Power Principles Of Equality
Section: Chapter Questions
Problem 33A
icon
Related questions
Question

I just need help with part a and c

A graphing calculator is recommended.
A rain gutter is to be constructed from a metal sheet of width 54 cm by bending up one-third of the sheet on each side through an angle 8.
18 сm
18 cm
18 ст
Show that the cross-sectional area of the gutter is modeled by the function
A(8) = 324 sin(6) + 324 sin(6) cos(8).
This answer has not been graded yet.
(b) Graph the function A for 0s e s a/2.
A(6)
A(6)
600
600
500
500
400
400
300
300
200
200
100
100
0.5
1.0
1.5
0.5
1.0
1.5
A(6)
A(6)
600
600
500
500
400
400
300
300
200
200
100
100
0.5
1.0
1.5
0.5
1.0
1.5
(c) For what angle 6 is the largest cross-sectional area achieved? (Round your answer to two decimal places.)
Transcribed Image Text:A graphing calculator is recommended. A rain gutter is to be constructed from a metal sheet of width 54 cm by bending up one-third of the sheet on each side through an angle 8. 18 сm 18 cm 18 ст Show that the cross-sectional area of the gutter is modeled by the function A(8) = 324 sin(6) + 324 sin(6) cos(8). This answer has not been graded yet. (b) Graph the function A for 0s e s a/2. A(6) A(6) 600 600 500 500 400 400 300 300 200 200 100 100 0.5 1.0 1.5 0.5 1.0 1.5 A(6) A(6) 600 600 500 500 400 400 300 300 200 200 100 100 0.5 1.0 1.5 0.5 1.0 1.5 (c) For what angle 6 is the largest cross-sectional area achieved? (Round your answer to two decimal places.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Anova and Design of Experiments
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.
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,