Chapter P
Ch 1 Section 1.1
Ch 1 Section 1.2
Ch 1 Section 1.3
Ch 1 Section 1.4
100
28.71
What is 3^3.2 - 2^2.3 =
100
Input (Domain) Output (Range)
What is The other term commonly used to identify Domain and Range?
100
1871 7^5 - (-2)^5 / 7 - (-2)
Using f(b) - f(a) / b -a calculate the following: f(x) = x^5, from x = -2 to x = 7
100
What is an inflection point?
An inflection point is where concavity changes, either up to down, or down to up.
100
The following table gives the number C = C(t), in millions, of American households with security systems in year t. Find the average rate of change per year during the period from 1980 to 1985. t = Year 1980 1985 1990 C = Millions of households 73 89 94
C(1985) - C(1980) / 1985 - 1980 = 89 - 73 / 5= 3.2% From 1980 to 1985 security systems increased by 3.2%
200
-0.24
(-√10+ 5^(-0.3))/(17-6.6)
200
7.72
Calculate g(2,3,4) if g (s, t, u)= (1+ s/t)^u Round two decimal places
200
n = 1 represents compounding yearly, n=2 represents compounding semiannually, n = 12 represents compounding monthly n = 365 represents compounding daily n=8760 represents compounding hourly n=525,600 represents compounding every minute.
On page 55 #9 what is the answer to part a?
200
When you are asked to draw your own graph to display a function, what is the independent and dependent variable commonly known as?
x-axis and y-axis
200
You pay your secretary $9.25 per hour. A stamped envelope costs $1.39 cents, and paper costs 8 cents per page. How much does it cost to prepare and mail a 6-page letter if your secretary spends 1.75 hours on typing and corrections?
$9.25 x 1.75 = $16.19 6 x .08 = .48 cents for paper $16.19 + .48 + $1.39 = $18.06 is the cost to prepare and mail a 6 page letter.
300
-9.82
What is e^(-3)- π^2
300
-1176
A ball is tossed upward from a tall building, and its upward velocity V, in feet per second, is a function of the time t, in seconds, since the ball was thrown. The formula is V = 40 − 32t, if we ignore air resistance. The function V is positive when the ball is rising and negative when the ball is falling. Find the velocity 38 seconds after the ball is thrown. Is the ball rising or falling then?
300
E(12) is the EAR when compounding monthly, and E(12) =12.683%
On page 55 #9 what is the answer to part b?
300
a) the width of each rectangle is 1 b) The height of R1 is f(1) = 1^3 =1 The height of R2 is f(2) = 2^3 = 8 The height of R3 is f(3) = 3^3 = 27
In your text on page 74 problem A-20 what is the answer to part a & b?
300
You sell math tutoring lessons for $45.00 per lesson. You have invested $520.00 in your initial costs. Write an equation that gives the profit P = P (n) as a function of the number of lessons you sell. Then calculate P(57).
P = P (l) P = profit l = lessons sold P ( 57) = $45.00 x 57 - $520.00 = $2045.00
400
.34
What is (A-B)/(A+B) when A = 4.7 and B = 2.3
400
N(0) = 12 N(10) = 379.92
Calculate N(0) and N(10) if N (t) = 12.36/(0.03+〖.55〗^t )
400
If compounded daily then the EAR is E(365). So the interest accrued in one year is 800 x E(365) = 8000 x 0.12747 = $1019.76
On page 55 # 9 answer part C?
400
On page 78 #9 answer part a, and part b
a) The most tornadoes were reported in 1999. There were about 145 tornadoes reported that year. b) the fewest tornadoes were reported in 2002. There were about 18 tornadoes reported then.
400
You sell rebuilt computers for $105.00 per computer. You have invested $8700.00 in your initial costs. Write an equation that gives the profit P = P (n) as a function of the number of computers you sell. Calculate P(8).
P = P(c) where P= profit, c = computers sold P (8) = 105 x 8 -8700 = -7860.00 dollars, here we see a loss which means this is not a profitable business.
500
1.07
What is A/(√A+√B) when A = 5 and B = 6
500
To express the expected profit, note that the variable t is measured in years, so 2 years and 6 months corresponds to t = 2.5 and so the expected profit is expressed by p(2.5)
** Relate functional notation to practical explainations of what certain functions mean** If p(t) is the profit I expect my business to earn t years after opening, use functional notation to express expected profit after 2 years 6 months.
500
N(95) - N(90) /2 60 - 52 / 2 = 4
The following table gives the number C = C(t), in millions, of American households with cable TV in year t. Find the average rate of change per year during the period from 1990 to 1995. t = Year 1990 1995 2000 C = Millions of households 52 60 69
500
Page 78 # 8 a & b
a) The effective temperature is 0 at wind speed of about 27 between 25 & 30 miles per hour b) the equation is T(v) = 0
500
7The following table shows the value B, in billions of dollars, of new construction put in place in the United States during year t. Explain in practical terms what B(2000) means, and estimate its value. t = Year B = Value (Billion dollars) 1992 639.3 1995 678.2 1998 775.2 2001 814.7
B (2000) = B(2001) - B(1998) / 2001 - 1998 = 814.7 - 775.2 / 3 = 13.17 13.17 is the yearly rate of change between 2001 and 1998 B(2000) = B(1998) + 2 years x previously found yearly rate of change B (2000) = 775.2 + 2 x 13.17 = 801.54 thus B(2000) was 801.54 billio dollars that year.
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