IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. No figure, nocredit.1. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is15 inches wide by turning up one-third of the width on each side. What width acrossthe top will give the greatest cross-sectional area?2. Find the dimensions of the right circular cone of greatest lateral area that can beinscribed in a sphere of radius 25 centimeters.

For relative maximum or minimum To maximize or minimize a function f(x) 1st we need to find its…

Answered: 1. Agutter with trapezoidal cross…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time

Section: Chapter Questions

Problem 42A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN Fifteen...

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Similar questions

The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of tin required for its construction. HINT: Include the lid and the base in the result.
Of two gears that mesh, the one that has the greater number of teeth is called the gear, and the one that has the fewer teeth is called the pinion (Figure 218). For each of the problems, set up a proportion, and determine the unknown value, x. Round the answers to 1 decimal place where necessary.
Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN Seven brass plates 9.00 inches wide and 21.00 inches long are machined with amilling cutter along the length of the plates. The entire top face of each plate ismilled. The width of each cut allowing for overlap is 212 inches. Using a feed of0.020 inch per revolution and 525 rpm, determine the total cutting time.
Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.
Compute the following problems. Express the answers to the nearer whole number. Use C=3.1416DN12 or DN12 for customary units and C=3.1416DN1000 or DN1000 for metric units. What is the surface speed of a 16-inch diameter surface grinder wheel running at1194 rpm?

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1. Agutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches wide by turning up one-third of the width on each side. What width across the top will give the greatest cross-sectional area?