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HW7.pdf

Written Assignment 7 for MATH&148

Write careful, complete solutions for the following problems and submit them according

to Directions for Submitting Written Assignments, under Orientation to Online MATH

148 in the Canvas classroom.

1. Here is a graph. Approximate the x coordinates of all inflection points of f (x) if this

graph is the graph of

a.  xf b.  xf ' c.  xf ''

Briefly explain your answers!

2. An airline notes that if the price of an 8 am round trip ticket from Boston to New York

is set at $250, they can sell 1000 tickets. For every $50 increase in price, they can sell

100 fewer tickets. For every $50 decrease in price, they can sell 100 more, up to their

capacity of 2000 seats.

a. Find the demand function.

b. If they charge $250, what is the total consumer surplus?

c. Find the price and quantity for which revenue is maximized.

3. The function   1810, 22  yxyxyxf has one critical point. Find it, and determine if it is a local minimum, local maximum, or saddle point.

4. Find xxf , yyf , xyf and yxf for   x

eyyxf 5

,  .

Also do the following problems from the textbook: Chapter 2 #70, Chapter 3 #48, #98,

#116, Chapter 4 #44, 58