Trigonometry solutions

Trigonometry
Let/(x) 3X and g(x) = Cy, and evaluate each of the following:g(O)

Trigonometry
Let/(x) 3X and g(x) = Cy, and evaluate each of the following:/(0)

Trigonometry
Let/(x) 3X and g(x) = Cy, and evaluate each of the following:g( -1)

Trigonometry
Let/(x) 3X and g(x) = Cy, and evaluate each of the following:g( -4)

Trigonometry
Let/(x) 3X and g(x) = Cy, and evaluate each of the following:f(-3)

Trigonometry
Let/(x) 3X and g(x) = Cy, and evaluate each of the following:f( -1)

Trigonometry
Let/(x) 3X and g(x) = Cy, and evaluate each of the following:f(2) + g( -2)

Trigonometry
Let/(x) 3X and g(x) = Cy, and evaluate each of the following:/(2) - g( -2)

Trigonometry
Graph each of the following functions. y=4x

Trigonometry
Graph each of the following functions. y = rx

Trigonometry
Graph each of the following functions. y rx

Trigonometry
Graph each of the following functions. y = (3 -x

Trigonometry
Graph each of the following functions. y2x+1

Trigonometry
Graph each of the following functions. y = 2x - 3

Trigonometry
Graph each of the following functions. yex

Trigonometry
Graph each of the following functions. y=e-x

Trigonometry
Graph each of the following functions on the same coordinate system for positive values of x only.y lx, y ,y=2x

Trigonometry
Graph each of the following functions on the same coordinate system for positive values of x only.y 3x, y , y =3x

Trigonometry
Graph the family of curves y = using the given values of the base b.b 2, 4, 6, 8

Trigonometry
Graph the family of curves y = using the given values of the base b.b = '2' 4' 6' 8

Trigonometry
Bouncing Ball Suppose the ball mentioned in the introduction to this section is dropped from a height of 6 feet above the ground. Find an exponential equation that gives the height h the ball will attaiu during the nth bounce (Figure 7). How high will it bounce on the fifth bounce?

Trigonometry
Bouncing Ball A golf ball is manufactured so that if it is dropped from A feet above the ground onto a hard surface, the maximum height of each bounce will be 1the height of the previous bounce. Find an exponential equation that gives the height h the ball will attain during the nth bounce. Ifthe bal

Trigonometry
Exponential Decay The half-life of iodine-131 is 8 days. If a patient is administered a 1,400-microgram dose of iodine-131, how much iodine-131 will be in the patient's system after 8 days and after 11 days? (See Example 2.)

Trigonometry
Exponential Growth Automobiles built before 1993 use Freon in their air conditioners. The federal government now prohibits the manufacture of Freon. Because the supply of Freon is decreasing, the price per pound is increasing exponentially. Current estimates put the formula for the price per pound of

Trigonometry
Compound Interest Suppose you deposit $1,200 in an account with an annual interest rate of 6% compounded quarterly. a. Find an equation that gives the amount of money in the account after t years. b. Find the amount of money in the account after 8 years. c. If the interest were compounded continuousl

Trigonometry
Compound Interest Suppose you deposit $500 in an account with an annual interest rate of 8% compounded monthly. a. Find an equation that gives the amount of money in the account after t years. b. Find the amount of money in the account after 5 years. c. If the interest were compounded continuously, h

Trigonometry
Compound Interest If $5,000 is placed in an account with an annual interest rate of 12% compounded four times a year, how much money will be in the account 10 years later?

Trigonometry
Compound Interest If$200 is placed in an account with an annual interest rate of 8% compounded twice a year, how much money will be in the account 10 years later?

Trigonometry
Bacteria Growth Suppose it takes 1 day for a certain strain of bacteria to reproduce by dividing in half. If there are 100 bacteria present to begin with, then the total number present after x days will be f(x) 100 . 2x. Find the total number present after 1 day, 2 days, 3 days, and 4 days.

Trigonometry
Bacteria Growth Suppose it takes 12 hours for a certain strain of bacteria to reproduce by dividing in half. If there are 50 bacteria present to begin with, then the total number present after x days will bej(x) = 50 4X. Find the total number present after 1 day, 2 days, and 3 days

Trigonometry
Health Care In 1990, $699 billion were spent on health care expenditures. The amount of money, E, in billions spent on health care expenditures can be estimated using the function E(t) 78.16(1.11)1, where t is time in years since 1970 (U.S. Census Bureau). a. How close was the estimate determined by

Trigonometry
Exponential Growth The cost of a can of Coca-Cola on January 1, 1960, was 10 cents. The following function gives the cost of a can of Coca-Cola t years after that. CCt) 0.lOeo.o576t a. Use the function to fill in Table 2. (Round to the nearest cent.) t o 'Coca-Cola" is a registered trademark of The C

Trigonometry
Value of a Painting A painting is purchased as an investment for $150. If the painting's value doubles every 3 years, then its value is given by the function Vet) = 150 . 21/3 for t;:::: 0 where t is the number of years since it was purchased, and Vet) is its value (in dollars) at that time. Graph th

Trigonometry
Value of a Painting A painting is purchased as an investment for $125. If the painting's value doubles every 5 years, then its value is given by the function Vet) = 125 . 21/5 for t ;:::: 0 where t is the number of years since it was purchased, and V(t) is its value (in dollars) at that time. Graph t

Trigonometry
Value of a Crane The function Vet) = 450,000(1 0.30)1 where V is value and t is time in years, can be used to find the value of a crane ~ for the first 6 years of use. i a. What is the value of the crane after 3 years and 6 months? ~ b. State the domain of this function. c. Sketch the graph of this f

Trigonometry
Value of a Priutiug Press The function V(t) = 375,000(1 - 0.25Y, where Vis value and t is time in years, can be used to find the value of a printing press during the first 7 years of use. a. What is the value of the printing press after > 4 years and 9 months? ~ b. State the domain of this function.

Trigonometry
Drag Raciug A dragster is equipped with a computer. The table gives the speed of the dragster every second during one race at the 1993 Wintemationals. Figure 8 is a line graph constructed from the data in Table 3. Elapsed Time (sec) 0 1 2 3 4 5 6 72.7 129.9 162.8 192.2 212.4 228.1 250 'I:' 200 ~ ' 15

Trigonometry
The graphs of two exponential functions are given in Figures 9 and 10. Use the graphs to find the following: a. /(0) b. /(-1) c. /(1) d. g(O) e. g(l) f. g(-I) y y ~ : .. x .,.--,.. :. x Figure 9 Figure 10