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Mathematics
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Mathematical Analysis
Quiz 3: Functions and Graphs
Path 4
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Question 61
Essay
Under certain conditions,if two brown-eyed parents have exactly four children,the probability P that exactly r of them are blue-eyed is a function of r and is given by P(r)=
. Find the probability that exactly one child will be blue-eyed.
Question 62
Essay
Given the function F(x)=
find: (a)the domain (b)F(2) (c)F(-2) (d)F(5)
Question 63
Essay
Suppose the yearly supply function for a particular actor to star in a film is p = 150,000x. (a)How many films per year is the actor willing to produce if he earns $300,000 per film? (b)How many films per year is the actor willing to produce if he earns $900,000 per film? (c)How does the amount supplied change as the price increases?
Question 64
Short Answer
Find the domain of the function f(x)= 6.
Question 65
Short Answer
For the polynomial function f(x)=
+
, Find: (a)the degree,and (b)the leading coefficient
Question 66
Short Answer
If g(x)=
,find g(-5).
Question 67
Essay
Given the function G(x)=
find: (a)the domain (b)G(0) (c)G(6) (d)G(-4) (e)G(-10)
Question 68
Essay
The response R to a shock of intensity I is a number estimated by R = f(I)=
. (a)Express f(2
)in terms of f(
). (b)What effect does the doubling of intensity have on response?
Question 69
Essay
Given the function f(x)=
find: (a)the domain (b)f(1) (c)f(2) (d)f(3) (e)f(0.1)
Question 70
Short Answer
Find: (a)the degree and (b)the leading coefficient of the polynomial function P(x)= -
+ 6
- 9
+ 7x + 3
Question 71
Short Answer
Find: (a)the degree and (b)the leading coefficient of the polynomial function f(x)= 5x + 7.
Question 72
Essay
Under certain conditions,if two brown-eyed parents have exactly four children,the probability P that exactly r of them are blue-eyed is a function of r and is given by P(r)=
. Find the probability that exactly thee children will be blue-eyed.
Question 73
Essay
Given the function f(x)=
find: (a)the domain (b)f(0) (c)f(1) (d)f
(e)f
(f)f
Question 74
Short Answer
If f(x)= 7,find f(14).
Question 75
Short Answer
If f(x)=
+ 2x,find: (a)f(1)and (b)f(-1).