1- x 0

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
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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Answer question 2 only

(1) The revenue for a product is R(x) = -0.004x² + 21x – 6200 and the
cost is C(x) = 0.02x + 38, for x units produced and sold.
(a) Find the marginal profit for 2800 units.
(b) Should output be increased or decreased to generate a higher profit?
(1-x 0<x<1
(2) Find all the points of discontinuity of the function S(x) = { x+ 2 1<x < 3
x2 3
(x² – 4
(3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge
gained in Unit 1 and 2, verify whether the limit to infinity of n(n + 1)(n + 2)-'(n + 3)-1
is equal to one.
(4) Given matrix A = (5
), and that h(T) = T² – 2T – 7, find h(T).
Transcribed Image Text:(1) The revenue for a product is R(x) = -0.004x² + 21x – 6200 and the cost is C(x) = 0.02x + 38, for x units produced and sold. (a) Find the marginal profit for 2800 units. (b) Should output be increased or decreased to generate a higher profit? (1-x 0<x<1 (2) Find all the points of discontinuity of the function S(x) = { x+ 2 1<x < 3 x2 3 (x² – 4 (3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in Unit 1 and 2, verify whether the limit to infinity of n(n + 1)(n + 2)-'(n + 3)-1 is equal to one. (4) Given matrix A = (5 ), and that h(T) = T² – 2T – 7, find h(T).
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