9. A trough is formed by bending a 4m wide piece of metal into segments as shown.What angle 0 will maximize the cross-sectional area (and thus the capacity) of the trough?1 mӨ2 mᎾm

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Answered: 9. A trough is formed by bending a 4m…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Similar questions

Find the work done with a spigot 1m above a trough that measures 9m long and has sides that are inverted isosceles triangles with base 4m and height 4m.
2. A cylindrical tank contains oil (use density as p in lb/ ft'). The radius of the tank is 3 feet, the length is 12 feet and oil enters and leaves the tank through an opening at the top. The tank is initially full of oil. Use the sketch below and complete each step below to find the work done in pumping all of the oil out of the opening at the top of the tank. You must use the axis provided. No calculators. (a) Find and expression for the volume of a single representative "slab" of oil that will move out of the tank. (b) Find the expression for the distance any single representative "slab" of oil must move to get out of the tank. (c) Find the expression for the force of a single representative "slab" of oil. (d) Set up (BUT DO NOT SOLVE), the Reimann sum that approximates the total work done in pumping all of the oil out of the tank.
9. The manufacturer of a propeller for a small aircraft rotates at 3600 rpm. The tips are located 8m away from the centre of the propeller. Determine the length of the arc travelled by one tip of the propeller in 0.0005s.
10. Students in an algebra class are designing a new banner for the school's mascot, "The Fighting Duck." The beak is made from two tangents, connected by a vertical line at the point of tangency. If the students only have 200 feet of material for the duck's beak, what value of x will make the tangent sides the correct length? What is the length of each side? 8x 16 ft
3. Is there a difference between the values of the ideal diameter and the actual diameter? Why?

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9. A trough is formed by bending a 4m wide piece of metal into segments as shown. What angle 0 will maximize the cross-sectional area (and thus the capacity) of the trough? 15 - 1 m 0 2m Im 1 m 0