) You are provided with a supply curve and a demand curve, where p is the unit price for a items. 506p + 90x = 2590 530p 10x = 1070 Find the price at market equilibrium.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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6. MISCELLANEOUS CALCULATOR EXERCISES:
(a) You are provided with a supply curve and a demand curve, where p is the
unit price for x items.
506p + 90x =
2590
530p – 10x
= 1070
Find the price at market equilibrium.
(b) The table below gives values for a differentiable function f(x). What is the
approximate value of f'(4)?
3.998
3.999
4.000
4.001
4.002
1.31598
1.31598
1.31589
f(x)
1.31625
1.31616
Hint: This problem is asking to estimate the instantaneous rate of change
of f(x) at x = 4 by computing the average rate of change of f(x) over a
small interval. To estimate f'(4), use the table to find the average rate of
change of f(x) over the interval [3.999, 4], or over the interval [4, 3.999].
Transcribed Image Text:6. MISCELLANEOUS CALCULATOR EXERCISES: (a) You are provided with a supply curve and a demand curve, where p is the unit price for x items. 506p + 90x = 2590 530p – 10x = 1070 Find the price at market equilibrium. (b) The table below gives values for a differentiable function f(x). What is the approximate value of f'(4)? 3.998 3.999 4.000 4.001 4.002 1.31598 1.31598 1.31589 f(x) 1.31625 1.31616 Hint: This problem is asking to estimate the instantaneous rate of change of f(x) at x = 4 by computing the average rate of change of f(x) over a small interval. To estimate f'(4), use the table to find the average rate of change of f(x) over the interval [3.999, 4], or over the interval [4, 3.999].
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