MATH 1210 Week 7 Assignment | Tulane University

MATH 1210 Week 7 Assignment | Tulane University

Module 7 Quiz


Solve the problems below and write up a solution to each problem using complete English sentences and well-organized calculations as appropriate. Your solution will be graded based on mathematical accuracy and clarity of presentation.

Late submissions will not be accepted. You must submit your responses as a single .pdf file that includes all pages of your solution. You may resubmit until the deadline but only the most recent submission will be graded. Quiz submissions will not be accepted via e-mail. After submitting you must download your file to ensure that it submitted properly. See technical instructions on Module Quiz submissions.

Problem 1:

Suppose we have a circle of radius 4. Find the dimensions of the isosceles triangle with largest possible area that can be inscribed into this circle. See diagram below.


Problem 2:

Consider the function f(x)=2x−2sinxf(x)=2x−2sinxff ( x ) = 2 x − 2 sin  x, where 0x3π0x0 x  3 π.

a.       Find the intervals where ffff is increasing or decreasing.

b.      Find the local maximum and minimum values of ffff.

c.       Find the absolute maximum and minimum values of ffff.

d.      Find the intervals of concavity and inflection points of ffff.

 

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