Question
Asked Nov 22, 2019
2 views

Optimization with angles.

A drainage canal is constructed so its cross section is
shaped like a trapezoid with equally sloping sides. If the bottom and sides each have length 5 feet, what angle θ would yield the greatest cross-sectional area?

check_circle

Expert Answer

Step 1

Consider the following diagram which indicates given information:

help_outline

Image Transcriptionclose

P 5 A 5

fullscreen
Step 2

Now determine the value of angle for whic...

help_outline

Image Transcriptionclose

AB AD BC 5 Let DE CF = x AD BF h sine 5 x= 5 sin h cos 5 h=5cos CD 5+2x CD 5+10sin

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Derivative

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Determine whether each of the following statements is true or false, and explain why in a few senten...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

question_answer

Q: The percentage of southern Australian grasshopper eggs that hatch as a function of temperature (for ...

A: Given, function is

question_answer

Q: What's the following as a power series? (x^2)/(1+x^3)

A: Given:

question_answer

Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. У ...

A: Given,

question_answer

Q: SI: Dinny Stevens MTH 1321: Mayorga 20 Veld 11/20/19 9) Find the transition points, intervals of inc...

A: Sketch the graph of function.

question_answer

Q: If 10,800 cm2 of material is available to make a box with a square base and an open top, find the la...

A: Let length be x cm and height be y cm.The amount of material is equal to surface area.Surface area =...

question_answer

Q: Find the first 6 non-zero terms of the Taylor series expanded at the given value of x=a below and wr...

A: To determine the first 6 non-zero term of the Taylor series polynomial and estimate the value at giv...

question_answer

Q: During the summer months Terry makes and sells necklaces on the beach. Last summer he sold the neckl...

A: When the cost of the necklace is $10 then average sale is 20 per day. When he increased the price by...

question_answer

Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight tow...

A: Let, a be the spotlight and “ed” be the wall on which the spotlight shines.Therefore, “ad” is the di...